TSTP Solution File: HWV008-1.002 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 123.71s 123.89s
% Output : CNFRefutation 123.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 13:53:00 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 123.71/123.87 %-------------------------------------------
% 123.71/123.87 % File :CSE---1.6
% 123.71/123.87 % Problem :theBenchmark
% 123.71/123.87 % Transform :cnf
% 123.71/123.87 % Format :tptp:raw
% 123.71/123.87 % Command :java -jar mcs_scs.jar %d %s
% 123.71/123.87
% 123.71/123.87 % Result :Theorem 123.080000s
% 123.71/123.87 % Output :CNFRefutation 123.080000s
% 123.71/123.87 %-------------------------------------------
% 123.71/123.88 %--------------------------------------------------------------------------
% 123.71/123.88 % File : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% 123.71/123.88 % Domain : Hardware Verification
% 123.71/123.88 % Problem : 2 bit ripple carry adder
% 123.71/123.88 % Version : [Gei96] axioms.
% 123.71/123.88 % English :
% 123.71/123.88
% 123.71/123.88 % Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe
% 123.71/123.88 % Source : [Gei96]
% 123.71/123.88 % Names :
% 123.71/123.88
% 123.71/123.88 % Status : Unsatisfiable
% 123.71/123.88 % Rating : 0.14 v8.1.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 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 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.00 v2.2.1
% 123.71/123.88 % Syntax : Number of clauses : 68 ( 14 unt; 3 nHn; 68 RR)
% 123.71/123.88 % Number of literals : 158 ( 0 equ; 93 neg)
% 123.71/123.88 % Maximal clause size : 5 ( 2 avg)
% 123.71/123.88 % Maximal term depth : 4 ( 1 avg)
% 123.71/123.88 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 123.71/123.88 % Number of functors : 27 ( 27 usr; 17 con; 0-2 aty)
% 123.71/123.88 % Number of variables : 63 ( 3 sgn)
% 123.71/123.88 % SPC : CNF_UNS_RFO_NEQ_NHN
% 123.71/123.88
% 123.71/123.88 % Comments :
% 123.71/123.88 % Bugfixes : v2.2.0 - Missing conjecture clauses added.
% 123.71/123.88 %--------------------------------------------------------------------------
% 123.71/123.88 %----Include basic diagnosis axioms
% 123.71/123.88 include('Axioms/HWV001-0.ax').
% 123.71/123.88 %----Include model of halfadder
% 123.71/123.88 include('Axioms/HWV001-1.ax').
% 123.71/123.88 %----Include model of fulladder
% 123.71/123.88 include('Axioms/HWV001-2.ax').
% 123.71/123.88 %--------------------------------------------------------------------------
% 123.71/123.88 %----Composition of 2-bit adder
% 123.71/123.88 cnf(nbit_adder_fulladder1,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | type(f(n1,X),fulladder) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_fulladder2,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | type(f(n2,X),fulladder) ) ).
% 123.71/123.88
% 123.71/123.88 %----Connections of 2-bit adder
% 123.71/123.88 cnf(nbit_adder_connection_out1_out1f1,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | connection(out(n1,X),out(n1,f(n1,X))) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_connection_out2_out1f2,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | connection(out(n2,X),out(n1,f(n2,X))) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_connection_outc_outcf1,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | connection(out(c,X),out(c,f(n2,X))) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_connection_ina1_in1f1,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | connection(in(a1,X),in(n1,f(n1,X))) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_connection_inb1_in2f1,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | connection(in(b1,X),in(n2,f(n1,X))) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_connection_ina2_in1f2,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.88 | connection(in(a2,X),in(n1,f(n2,X))) ) ).
% 123.71/123.88
% 123.71/123.88 cnf(nbit_adder_connection_inb2_in2f2,axiom,
% 123.71/123.88 ( ~ type(X,nbit_adder(n2))
% 123.71/123.89 | connection(in(b2,X),in(n2,f(n2,X))) ) ).
% 123.71/123.89
% 123.71/123.89 cnf(nbit_adder_connection_inc_incf1,axiom,
% 123.71/123.89 ( ~ type(X,nbit_adder(n2))
% 123.71/123.89 | connection(out(c,f(n1,X)),in(c,f(n2,X))) ) ).
% 123.71/123.89
% 123.71/123.89 cnf(nbit_adder_connection_inc_incf2,axiom,
% 123.71/123.89 ( ~ type(X,nbit_adder(n2))
% 123.71/123.89 | connection(in(c,X),in(c,f(n1,X))) ) ).
% 123.71/123.89
% 123.71/123.89 %----Observations
% 123.71/123.89 cnf(a_isa_2bit_adder,hypothesis,
% 123.71/123.89 type(a,nbit_adder(n2)) ).
% 123.71/123.89
% 123.71/123.89 cnf(ina1_0,hypothesis,
% 123.71/123.89 value(in(a1,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(ina2_0,hypothesis,
% 123.71/123.89 value(in(a2,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(inb1_0,hypothesis,
% 123.71/123.89 value(in(b1,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(inb2_0,hypothesis,
% 123.71/123.89 value(in(b2,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(inc_0,hypothesis,
% 123.71/123.89 value(in(c,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(out1_0,hypothesis,
% 123.71/123.89 value(out(n1,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(out2_0,hypothesis,
% 123.71/123.89 value(out(n2,a),n0) ).
% 123.71/123.89
% 123.71/123.89 cnf(outc_1,hypothesis,
% 123.71/123.89 value(out(c,a),n1) ).
% 123.71/123.89
% 123.71/123.89 %----Minimal diagnosis
% 123.71/123.89 cnf(diagnosis_or1f2a,negated_conjecture,
% 123.71/123.89 ~ mode(or1(f(n2,a)),abnormal) ).
% 123.71/123.89
% 123.71/123.89 cnf(diagnosis_and2h2f2a,negated_conjecture,
% 123.71/123.89 ~ mode(and2(h1(f(n2,a))),abnormal) ).
% 123.71/123.89
% 123.71/123.89 cnf(diagnosis_and2h1f2a,negated_conjecture,
% 123.71/123.89 ~ mode(and2(h2(f(n2,a))),abnormal) ).
% 123.71/123.89
% 123.71/123.89 %--------------------------------------------------------------------------
% 123.71/123.89 %-------------------------------------------
% 123.71/123.89 % Proof found
% 123.71/123.89 % SZS status Theorem for theBenchmark
% 123.71/123.89 % SZS output start Proof
% 123.71/123.89 %ClaNum:68(EqnAxiom:0)
% 123.71/123.89 %VarNum:182(SingletonVarNum:63)
% 123.71/123.89 %MaxLitNum:5
% 123.71/123.89 %MaxfuncDepth:3
% 123.71/123.89 %SharedTerms:46
% 123.71/123.89 %goalClause: 12 13 14
% 123.71/123.89 %singleGoalClaCount:3
% 123.71/123.89 [10]~P2(a18,a19)
% 123.71/123.89 [11]~P2(a19,a18)
% 123.71/123.89 [1]P1(a1,f20(a2))
% 123.71/123.89 [2]P5(f12(a3,a1),a18)
% 123.71/123.89 [3]P5(f12(a4,a1),a18)
% 123.71/123.89 [4]P5(f12(a5,a1),a18)
% 123.71/123.90 [5]P5(f12(a6,a1),a18)
% 123.71/123.90 [6]P5(f12(a11,a1),a18)
% 123.71/123.90 [7]P5(f21(a19,a1),a18)
% 123.71/123.90 [8]P5(f21(a2,a1),a18)
% 123.71/123.90 [9]P5(f21(a3,a1),a19)
% 123.71/123.90 [12]~P4(f22(f13(a2,a1)),a7)
% 123.71/123.90 [13]~P4(f8(f14(f13(a2,a1))),a7)
% 123.71/123.90 [14]~P4(f8(f16(f13(a2,a1))),a7)
% 123.71/123.90 [22]~P4(x221,a7)+~P4(x221,a26)
% 123.71/123.90 [15]~P1(x151,a17)+P1(f9(x151),a10)
% 123.71/123.90 [16]~P1(x161,a17)+P1(f8(x161),a10)
% 123.71/123.90 [17]~P1(x171,a17)+P1(f23(x171),a24)
% 123.71/123.90 [18]~P1(x181,a17)+P1(f22(x181),a25)
% 123.71/123.90 [19]~P1(x191,a15)+P1(f22(x191),a25)
% 123.71/123.90 [20]~P1(x201,a15)+P1(f14(x201),a17)
% 123.71/123.90 [21]~P1(x211,a15)+P1(f16(x211),a17)
% 123.71/123.90 [27]~P1(x271,f20(a2))+P1(f13(a19,x271),a15)
% 123.71/123.90 [28]~P1(x281,f20(a2))+P1(f13(a2,x281),a15)
% 123.71/123.90 [29]~P1(x291,a17)+P3(f12(a19,x291),f12(a19,f8(x291)))
% 123.71/123.90 [30]~P1(x301,a17)+P3(f12(a19,x301),f12(a19,f22(x301)))
% 123.71/123.90 [31]~P1(x311,a15)+P3(f12(a19,x311),f12(a19,f16(x311)))
% 123.71/123.90 [32]~P1(x321,a15)+P3(f12(a2,x321),f12(a19,f14(x321)))
% 123.71/123.90 [33]~P1(x331,a17)+P3(f12(a2,x331),f12(a2,f8(x331)))
% 123.71/123.90 [34]~P1(x341,a17)+P3(f12(a2,x341),f12(a2,f22(x341)))
% 123.71/123.90 [35]~P1(x351,a15)+P3(f12(a3,x351),f12(a2,f14(x351)))
% 123.71/123.90 [36]~P1(x361,a17)+P3(f21(a27,x361),f21(a19,f9(x361)))
% 123.71/123.90 [37]~P1(x371,a15)+P3(f21(a27,x371),f21(a27,f16(x371)))
% 123.71/123.90 [38]~P1(x381,a17)+P3(f21(a3,x381),f21(a19,f8(x381)))
% 123.71/123.90 [39]~P1(x391,a15)+P3(f21(a3,x391),f21(a19,f22(x391)))
% 123.71/123.90 [40]~P1(x401,a17)+P3(f21(a19,f8(x401)),f12(a19,f23(x401)))
% 123.71/123.90 [41]~P1(x411,a17)+P3(f21(a19,f23(x411)),f12(a2,f9(x411)))
% 123.71/123.90 [42]~P1(x421,a17)+P3(f21(a19,f22(x421)),f12(a19,f9(x421)))
% 123.71/123.90 [43]~P1(x431,a15)+P3(f21(a27,f14(x431)),f12(a2,f16(x431)))
% 123.71/123.90 [44]~P1(x441,a15)+P3(f21(a3,f14(x441)),f12(a2,f22(x441)))
% 123.71/123.90 [45]~P1(x451,a15)+P3(f21(a3,f16(x451)),f12(a19,f22(x451)))
% 123.71/123.90 [54]~P1(x541,f20(a2))+P3(f12(a3,x541),f12(a3,f13(a19,x541)))
% 123.71/123.90 [55]~P1(x551,f20(a2))+P3(f12(a4,x551),f12(a19,f13(a19,x551)))
% 123.71/123.90 [56]~P1(x561,f20(a2))+P3(f12(a5,x561),f12(a2,f13(a19,x561)))
% 123.71/123.90 [57]~P1(x571,f20(a2))+P3(f12(a6,x571),f12(a19,f13(a2,x571)))
% 123.71/123.90 [58]~P1(x581,f20(a2))+P3(f12(a11,x581),f12(a2,f13(a2,x581)))
% 123.71/123.90 [59]~P1(x591,f20(a2))+P3(f21(a19,x591),f21(a19,f13(a19,x591)))
% 123.71/123.90 [60]~P1(x601,f20(a2))+P3(f21(a2,x601),f21(a19,f13(a2,x601)))
% 123.71/123.90 [61]~P1(x611,f20(a2))+P3(f21(a3,x611),f21(a3,f13(a2,x611)))
% 123.71/123.90 [66]~P1(x661,f20(a2))+P3(f21(a3,f13(a19,x661)),f12(a3,f13(a2,x661)))
% 123.71/123.90 [23]~P1(x231,x232)+P4(x231,a7)+P4(x231,a26)
% 123.71/123.90 [24]~P5(x243,x242)+P5(x241,x242)+~P3(x243,x241)
% 123.71/123.90 [25]~P5(x253,x252)+P5(x251,x252)+~P3(x251,x253)
% 123.71/123.90 [26]~P5(x263,x261)+P2(x261,x262)+~P5(x263,x262)
% 123.71/123.90 [46]~P4(x461,a26)+~P1(x461,a25)+~P5(f21(a19,x461),a18)+P5(f12(a19,x461),a18)
% 123.71/123.90 [47]~P4(x471,a26)+~P1(x471,a24)+~P5(f21(a19,x471),a19)+P5(f12(a19,x471),a18)
% 123.71/123.90 [48]~P4(x481,a26)+~P1(x481,a10)+~P5(f21(a19,x481),a19)+P5(f12(a19,x481),a19)
% 123.71/123.90 [49]~P4(x491,a26)+~P1(x491,a24)+~P5(f21(a19,x491),a18)+P5(f12(a19,x491),a19)
% 123.71/123.90 [50]~P4(x501,a26)+~P1(x501,a25)+~P5(f21(a19,x501),a18)+P5(f12(a2,x501),a18)
% 123.71/123.90 [51]~P4(x511,a26)+~P1(x511,a10)+~P5(f21(a19,x511),a19)+P5(f12(a2,x511),a19)
% 123.71/123.90 [52]~P4(x521,a26)+~P1(x521,a24)+~P5(f12(a19,x521),a19)+P5(f21(a19,x521),a18)
% 123.71/123.90 [53]~P4(x531,a26)+~P1(x531,a24)+~P5(f12(a19,x531),a18)+P5(f21(a19,x531),a19)
% 123.71/123.90 [62]~P4(x621,a26)+~P1(x621,a10)+~P5(f12(x622,x621),a18)+P5(f21(a19,x621),a18)
% 123.71/123.90 [63]~P4(x631,a26)+~P1(x631,a25)+~P5(f12(x632,x631),a19)+P5(f21(a19,x631),a19)
% 123.71/123.90 [64]~P4(x641,a26)+~P1(x641,a10)+P5(f12(a2,x641),a18)+~P5(f21(a19,x641),a18)+P5(f12(a19,x641),a18)
% 123.71/123.90 [65]~P4(x651,a26)+~P1(x651,a25)+P5(f12(a2,x651),a19)+~P5(f21(a19,x651),a19)+P5(f12(a19,x651),a19)
% 123.71/123.90 [67]~P4(x671,a26)+~P1(x671,a25)+~P5(f12(a19,x671),a18)+~P5(f12(a2,x671),a18)+P5(f21(a19,x671),a18)
% 123.71/123.90 [68]~P4(x681,a26)+~P1(x681,a10)+~P5(f12(a19,x681),a19)+~P5(f12(a2,x681),a19)+P5(f21(a19,x681),a19)
% 123.71/123.90 %EqnAxiom
% 123.71/123.90
% 123.71/123.90 %-------------------------------------------
% 123.81/123.94 cnf(70,plain,
% 123.81/123.94 (P1(f13(a2,a1),a15)),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28])).
% 123.81/123.94 cnf(71,plain,
% 123.81/123.94 (P1(f13(a19,a1),a15)),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27])).
% 123.81/123.94 cnf(73,plain,
% 123.81/123.94 (P3(f21(a3,f13(a2,a1)),f21(a19,f22(f13(a2,a1))))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39])).
% 123.81/123.94 cnf(79,plain,
% 123.81/123.94 (P3(f12(a2,f13(a2,a1)),f12(a19,f14(f13(a2,a1))))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32])).
% 123.81/123.94 cnf(81,plain,
% 123.81/123.94 (P3(f12(a19,f13(a2,a1)),f12(a19,f16(f13(a2,a1))))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31])).
% 123.81/123.94 cnf(85,plain,
% 123.81/123.94 (P3(f21(a3,a1),f21(a3,f13(a2,a1)))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31,66,61])).
% 123.81/123.94 cnf(87,plain,
% 123.81/123.94 (P3(f21(a2,a1),f21(a19,f13(a2,a1)))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31,66,61,60])).
% 123.81/123.94 cnf(91,plain,
% 123.81/123.94 (P3(f12(a11,a1),f12(a2,f13(a2,a1)))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31,66,61,60,59,58])).
% 123.81/123.94 cnf(93,plain,
% 123.81/123.94 (P3(f12(a6,a1),f12(a19,f13(a2,a1)))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31,66,61,60,59,58,57])).
% 123.81/123.94 cnf(97,plain,
% 123.81/123.94 (P3(f12(a4,a1),f12(a19,f13(a19,a1)))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31,66,61,60,59,58,57,56,55])).
% 123.81/123.94 cnf(99,plain,
% 123.81/123.94 (P3(f12(a3,a1),f12(a3,f13(a19,a1)))),
% 123.81/123.94 inference(scs_inference,[],[1,2,26,28,27,39,37,35,32,31,66,61,60,59,58,57,56,55,54])).
% 123.81/123.94 cnf(107,plain,
% 123.81/123.94 (P1(f16(f13(a2,a1)),a17)),
% 123.81/123.94 inference(scs_inference,[],[70,21])).
% 123.81/123.94 cnf(109,plain,
% 123.81/123.94 (P1(f14(f13(a2,a1)),a17)),
% 123.81/123.94 inference(scs_inference,[],[70,21,20])).
% 123.81/123.94 cnf(111,plain,
% 123.81/123.94 (P1(f22(f13(a2,a1)),a25)),
% 123.81/123.94 inference(scs_inference,[],[70,21,20,19])).
% 123.81/123.94 cnf(117,plain,
% 123.81/123.94 (P1(f8(f16(f13(a2,a1))),a10)),
% 123.81/123.94 inference(scs_inference,[],[70,21,20,19,18,17,16])).
% 123.81/123.94 cnf(127,plain,
% 123.81/123.94 (P4(f22(f13(a2,a1)),a26)),
% 123.81/123.94 inference(scs_inference,[],[12,10,3,9,97,70,21,20,19,18,17,16,15,26,24,25,23])).
% 123.81/123.94 cnf(137,plain,
% 123.81/123.94 (~P5(f21(a2,a1),a19)),
% 123.81/123.94 inference(scs_inference,[],[11,8,26])).
% 123.81/123.94 cnf(139,plain,
% 123.81/123.94 (~P5(f21(a19,f13(a2,a1)),a19)),
% 123.81/123.94 inference(scs_inference,[],[11,8,87,26,25])).
% 123.81/123.94 cnf(141,plain,
% 123.81/123.94 (P5(f12(a19,f13(a2,a1)),a18)),
% 123.81/123.94 inference(scs_inference,[],[11,8,5,93,87,26,25,24])).
% 123.81/123.94 cnf(178,plain,
% 123.81/123.94 (~P5(f12(a11,a1),a19)),
% 123.81/123.94 inference(scs_inference,[],[6,10,26])).
% 123.81/123.94 cnf(186,plain,
% 123.81/123.94 (P3(f12(a3,f13(a19,a1)),f12(a2,f14(f13(a19,a1))))),
% 123.81/123.94 inference(scs_inference,[],[71,6,10,9,137,139,26,25,24,39,35])).
% 123.81/123.94 cnf(192,plain,
% 123.81/123.94 (P5(f12(a19,f22(f13(a2,a1))),a19)+P5(f12(a2,f22(f13(a2,a1))),a19)+~P5(f21(a19,f22(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[71,6,10,9,141,137,139,111,127,26,25,24,39,35,31,53,65])).
% 123.81/123.94 cnf(202,plain,
% 123.81/123.94 (~P5(f21(a3,a1),a18)),
% 123.81/123.94 inference(scs_inference,[],[10,9,26])).
% 123.81/123.94 cnf(204,plain,
% 123.81/123.94 (~P5(f12(a2,f13(a2,a1)),a19)),
% 123.81/123.94 inference(scs_inference,[],[10,9,91,178,26,25])).
% 123.81/123.94 cnf(210,plain,
% 123.81/123.94 (P1(f14(f13(a19,a1)),a17)),
% 123.81/123.94 inference(scs_inference,[],[6,10,9,71,91,178,26,25,24,21,20])).
% 123.81/123.94 cnf(214,plain,
% 123.81/123.94 (P1(f8(f14(f13(a2,a1))),a10)),
% 123.81/123.94 inference(scs_inference,[],[6,10,9,71,91,109,178,26,25,24,21,20,18,16])).
% 123.81/123.94 cnf(240,plain,
% 123.81/123.94 (P4(f8(f16(f13(a2,a1))),a26)),
% 123.81/123.94 inference(scs_inference,[],[8,117,202,14,26,25,24,23])).
% 123.81/123.94 cnf(247,plain,
% 123.81/123.94 (~P5(f12(a19,f14(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[5,10,79,204,26,25])).
% 123.81/123.94 cnf(255,plain,
% 123.81/123.94 (~P5(f12(a3,a1),a19)),
% 123.81/123.94 inference(scs_inference,[],[2,11,26])).
% 123.81/123.94 cnf(257,plain,
% 123.81/123.94 (~P5(f21(a3,f13(a2,a1)),a18)),
% 123.81/123.94 inference(scs_inference,[],[2,11,85,202,26,25])).
% 123.81/123.94 cnf(259,plain,
% 123.81/123.94 (P5(f21(a3,f13(a2,a1)),a19)),
% 123.81/123.94 inference(scs_inference,[],[2,11,9,85,202,26,25,24])).
% 123.81/123.94 cnf(294,plain,
% 123.81/123.94 (P4(f8(f14(f13(a2,a1))),a26)),
% 123.81/123.94 inference(scs_inference,[],[214,13,23])).
% 123.81/123.94 cnf(298,plain,
% 123.81/123.94 (~P5(f12(a3,f13(a19,a1)),a19)),
% 123.81/123.94 inference(scs_inference,[],[4,10,99,255,214,13,23,26,25])).
% 123.81/123.94 cnf(308,plain,
% 123.81/123.94 (P5(f21(a19,f22(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[73,259,257,25,24])).
% 123.81/123.94 cnf(310,plain,
% 123.81/123.94 (P5(f12(a19,f22(f13(a2,a1))),a19)+P5(f12(a2,f22(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[73,259,257,25,24,192])).
% 123.81/123.94 cnf(355,plain,
% 123.81/123.94 (~P5(f12(a2,f14(f13(a19,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[186,298,25])).
% 123.81/123.94 cnf(357,plain,
% 123.81/123.94 (P5(f12(a19,f16(f13(a2,a1))),a18)),
% 123.81/123.94 inference(scs_inference,[],[81,186,298,141,25,24])).
% 123.81/123.94 cnf(436,plain,
% 123.81/123.94 (~P5(f12(a19,f16(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[10,357,26])).
% 123.81/123.94 cnf(1476,plain,
% 123.81/123.94 (P3(f12(a19,f14(f13(a2,a1))),f12(a19,f8(f14(f13(a2,a1)))))),
% 123.81/123.94 inference(scs_inference,[],[70,29,20])).
% 123.81/123.94 cnf(1621,plain,
% 123.81/123.94 (P3(f12(a19,f16(f13(a2,a1))),f12(a19,f22(f16(f13(a2,a1)))))),
% 123.81/123.94 inference(scs_inference,[],[70,30,21])).
% 123.81/123.94 cnf(2195,plain,
% 123.81/123.94 (P3(f21(a3,f16(f13(a2,a1))),f21(a19,f8(f16(f13(a2,a1)))))),
% 123.81/123.94 inference(scs_inference,[],[70,38,21])).
% 123.81/123.94 cnf(2914,plain,
% 123.81/123.94 (P3(f21(a3,f14(f13(a2,a1))),f12(a2,f22(f13(a2,a1))))),
% 123.81/123.94 inference(scs_inference,[],[1,44,28])).
% 123.81/123.94 cnf(23683,plain,
% 123.81/123.94 (P3(f12(a2,f14(f13(a19,a1))),f12(a2,f22(f14(f13(a19,a1)))))),
% 123.81/123.94 inference(scs_inference,[],[210,29,30,33,34])).
% 123.81/123.94 cnf(23699,plain,
% 123.81/123.94 (P3(f21(a3,f16(f13(a2,a1))),f12(a19,f22(f13(a2,a1))))),
% 123.81/123.94 inference(scs_inference,[],[71,70,210,109,29,30,33,34,36,38,40,41,42,43,44,45])).
% 123.81/123.94 cnf(23701,plain,
% 123.81/123.94 (P5(f12(a19,f22(f16(f13(a2,a1)))),a18)),
% 123.81/123.94 inference(scs_inference,[],[71,70,210,109,357,1621,29,30,33,34,36,38,40,41,42,43,44,45,24])).
% 123.81/123.94 cnf(44352,plain,
% 123.81/123.94 (~P5(f12(a19,f22(f16(f13(a2,a1)))),a19)),
% 123.81/123.94 inference(scs_inference,[],[23701,11,26])).
% 123.81/123.94 cnf(44365,plain,
% 123.81/123.94 (~P5(f21(a19,f8(f14(f13(a2,a1)))),a19)),
% 123.81/123.94 inference(scs_inference,[],[294,214,1476,44352,23701,247,259,26,25,24,48])).
% 123.81/123.94 cnf(44425,plain,
% 123.81/123.94 (P3(f12(a19,f16(f13(a2,a1))),f12(a19,f8(f16(f13(a2,a1)))))),
% 123.81/123.94 inference(scs_inference,[],[44365,107,109,23683,355,259,25,24,42,40,33,36,34,30,29])).
% 123.81/123.94 cnf(44429,plain,
% 123.81/123.94 (P3(f21(a3,f14(f13(a2,a1))),f21(a19,f8(f14(f13(a2,a1)))))),
% 123.81/123.94 inference(scs_inference,[],[44365,107,109,23683,355,259,25,24,42,40,33,36,34,30,29,41,38])).
% 123.81/123.94 cnf(44475,plain,
% 123.81/123.94 (~P5(f21(a19,f8(f16(f13(a2,a1)))),a19)),
% 123.81/123.94 inference(scs_inference,[],[240,117,44365,44425,259,436,25,24,48])).
% 123.81/123.94 cnf(44489,plain,
% 123.81/123.94 (~P5(f12(a2,f22(f13(a2,a1))),x444891)+P5(f21(a3,f14(f13(a2,a1))),x444891)),
% 123.81/123.94 inference(scs_inference,[],[44475,2914,259,24,25])).
% 123.81/123.94 cnf(44519,plain,
% 123.81/123.94 (P5(f21(a3,f16(f13(a2,a1))),a19)+P5(f12(a2,f22(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[127,44475,111,23699,23701,259,308,26,24,25,48,65])).
% 123.81/123.94 cnf(44755,plain,
% 123.81/123.94 (~P5(f12(a2,f22(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[44365,44429,44489,24])).
% 123.81/123.94 cnf(44756,plain,
% 123.81/123.94 (P5(f12(a19,f22(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[44755,310])).
% 123.81/123.94 cnf(44758,plain,
% 123.81/123.94 (P5(f21(a3,f16(f13(a2,a1))),a19)),
% 123.81/123.94 inference(scs_inference,[],[44755,44519])).
% 123.81/123.94 cnf(44770,plain,
% 123.81/123.94 (~P5(f12(a19,f22(f13(a2,a1))),a18)),
% 123.81/123.94 inference(scs_inference,[],[44756,11,26])).
% 123.81/123.94 cnf(44821,plain,
% 123.81/123.94 (~P5(f12(x448211,f8(f16(f13(a2,a1)))),a18)),
% 123.81/123.94 inference(scs_inference,[],[240,127,44756,117,44365,44758,2195,44770,308,11,26,25,24,47,62])).
% 123.81/123.94 cnf(44947,plain,
% 123.81/123.94 ($false),
% 123.81/123.94 inference(scs_inference,[],[44821,44425,357,24]),
% 123.81/123.94 ['proof']).
% 123.89/123.99 % SZS output end Proof
% 123.89/123.99 % Total time :123.080000s
%------------------------------------------------------------------------------