TSTP Solution File: SYN615-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN615-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 : Fri Sep 1 01:46:37 EDT 2023
% Result : Unsatisfiable 62.12s 62.18s
% Output : CNFRefutation 62.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN615-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 18:14:45 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 62.12/62.16 %-------------------------------------------
% 62.12/62.16 % File :CSE---1.6
% 62.12/62.16 % Problem :theBenchmark
% 62.12/62.16 % Transform :cnf
% 62.12/62.16 % Format :tptp:raw
% 62.12/62.16 % Command :java -jar mcs_scs.jar %d %s
% 62.12/62.16
% 62.12/62.16 % Result :Theorem 61.540000s
% 62.12/62.16 % Output :CNFRefutation 61.540000s
% 62.12/62.16 %-------------------------------------------
% 62.12/62.17 %--------------------------------------------------------------------------
% 62.12/62.17 % File : SYN615-1 : TPTP v8.1.2. Released v2.5.0.
% 62.12/62.17 % Domain : Syntactic
% 62.12/62.17 % Problem : Harrison problem 3879
% 62.12/62.17 % Version : Especial.
% 62.12/62.17 % English :
% 62.12/62.17
% 62.12/62.17 % Refs : [Har01] Email to G. Sutcliffe
% 62.12/62.17 % Source : [Har01]
% 62.12/62.17 % Names :
% 62.12/62.17
% 62.12/62.17 % Status : Unsatisfiable
% 62.12/62.17 % Rating : 0.57 v8.1.0, 0.50 v6.1.0, 0.64 v6.0.0, 0.56 v5.5.0, 0.62 v5.4.0, 0.61 v5.3.0, 0.70 v5.2.0, 0.77 v5.1.0, 0.69 v5.0.0, 0.53 v4.1.0, 0.67 v4.0.1, 0.71 v4.0.0, 0.86 v3.4.0, 0.80 v3.3.0, 0.33 v3.2.0, 0.67 v2.7.0, 0.75 v2.6.0, 0.67 v2.5.0
% 62.12/62.17 % Syntax : Number of clauses : 31 ( 10 unt; 0 nHn; 27 RR)
% 62.12/62.17 % Number of literals : 72 ( 0 equ; 44 neg)
% 62.12/62.17 % Maximal clause size : 4 ( 2 avg)
% 62.12/62.17 % Maximal term depth : 9 ( 2 avg)
% 62.12/62.17 % Number of predicates : 6 ( 6 usr; 0 prp; 2-2 aty)
% 62.12/62.17 % Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% 62.12/62.17 % Number of variables : 70 ( 0 sgn)
% 62.12/62.17 % SPC : CNF_UNS_RFO_NEQ_HRN
% 62.12/62.17
% 62.12/62.17 % Comments :
% 62.12/62.17 %--------------------------------------------------------------------------
% 62.12/62.17 cnf(p13_1,negated_conjecture,
% 62.12/62.17 p13(X0,X0) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_2,negated_conjecture,
% 62.12/62.17 p7(X43,X43) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_3,negated_conjecture,
% 62.12/62.17 p2(X18,X18) ).
% 62.12/62.17
% 62.12/62.17 cnf(p15_4,negated_conjecture,
% 62.12/62.17 p15(X7,X7) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_5,negated_conjecture,
% 62.12/62.17 p2(c26,f3(c22)) ).
% 62.12/62.17
% 62.12/62.17 cnf(not_p2_6,negated_conjecture,
% 62.12/62.17 ~ p2(c21,f3(c22)) ).
% 62.12/62.17
% 62.12/62.17 cnf(p19_7,negated_conjecture,
% 62.12/62.17 p19(c23,f3(f4(f5(c22)))) ).
% 62.12/62.17
% 62.12/62.17 cnf(p20_8,negated_conjecture,
% 62.12/62.17 p20(c24,f6(f3(f4(f5(c22))),c21)) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_9,negated_conjecture,
% 62.12/62.17 ( p7(f12(X52),f12(X53))
% 62.12/62.17 | ~ p7(X52,X53) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_10,negated_conjecture,
% 62.12/62.17 ( p2(f3(X29),f3(X30))
% 62.12/62.17 | ~ p2(X29,X30) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_11,negated_conjecture,
% 62.12/62.17 ( p2(f4(X31),f4(X32))
% 62.12/62.17 | ~ p2(X31,X32) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_12,negated_conjecture,
% 62.12/62.17 ( p2(f5(X33),f5(X34))
% 62.12/62.17 | ~ p2(X33,X34) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_13,negated_conjecture,
% 62.12/62.17 ( p7(f11(X50),f11(X51))
% 62.12/62.17 | ~ p2(X50,X51) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_14,negated_conjecture,
% 62.12/62.17 p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ).
% 62.12/62.17
% 62.12/62.17 cnf(p13_15,negated_conjecture,
% 62.12/62.17 ( p13(X1,X2)
% 62.12/62.17 | ~ p13(X0,X1)
% 62.12/62.17 | ~ p13(X0,X2) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_16,negated_conjecture,
% 62.12/62.17 ( p7(X44,X45)
% 62.12/62.17 | ~ p7(X43,X44)
% 62.12/62.17 | ~ p7(X43,X45) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_17,negated_conjecture,
% 62.12/62.17 ( p2(X19,X20)
% 62.12/62.17 | ~ p2(X18,X19)
% 62.12/62.17 | ~ p2(X18,X20) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p15_18,negated_conjecture,
% 62.12/62.17 ( p15(X8,X9)
% 62.12/62.17 | ~ p15(X7,X8)
% 62.12/62.17 | ~ p15(X7,X9) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p20_19,negated_conjecture,
% 62.12/62.17 ( p20(X39,X40)
% 62.12/62.17 | ~ p2(X42,X40)
% 62.12/62.17 | ~ p20(X41,X42)
% 62.12/62.17 | ~ p2(X41,X39) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p19_20,negated_conjecture,
% 62.12/62.17 ( p19(X14,X15)
% 62.12/62.17 | ~ p2(X16,X14)
% 62.12/62.17 | ~ p2(X17,X15)
% 62.12/62.17 | ~ p19(X16,X17) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p13_21,negated_conjecture,
% 62.12/62.17 ( p13(f16(X3,X4),f16(X5,X6))
% 62.12/62.17 | ~ p15(X4,X6)
% 62.12/62.17 | ~ p2(X3,X5) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_22,negated_conjecture,
% 62.12/62.17 ( p7(f9(X58,X59),f9(X60,X61))
% 62.12/62.17 | ~ p7(X58,X60)
% 62.12/62.17 | ~ p7(X59,X61) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_23,negated_conjecture,
% 62.12/62.17 ( p7(f8(X54,X55),f8(X56,X57))
% 62.12/62.17 | ~ p7(X54,X56)
% 62.12/62.17 | ~ p7(X55,X57) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p7_24,negated_conjecture,
% 62.12/62.17 ( p7(f10(X46,X47),f10(X48,X49))
% 62.12/62.17 | ~ p2(X47,X49)
% 62.12/62.17 | ~ p7(X46,X48) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_25,negated_conjecture,
% 62.12/62.17 ( p2(f6(X35,X36),f6(X37,X38))
% 62.12/62.17 | ~ p2(X35,X37)
% 62.12/62.17 | ~ p2(X36,X38) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_26,negated_conjecture,
% 62.12/62.17 ( p2(f18(X25,X26),f18(X27,X28))
% 62.12/62.17 | ~ p2(X25,X27)
% 62.12/62.17 | ~ p2(X26,X28) ) ).
% 62.12/62.17
% 62.12/62.17 cnf(p2_27,negated_conjecture,
% 62.12/62.17 ( p2(f14(X21,X22),f14(X23,X24))
% 62.12/62.17 | ~ p13(X21,X23)
% 62.12/62.17 | ~ p7(X22,X24) ) ).
% 62.12/62.18
% 62.12/62.18 cnf(p15_28,negated_conjecture,
% 62.12/62.18 ( p15(f17(X10,X11),f17(X12,X13))
% 62.12/62.18 | ~ p2(X10,X12)
% 62.12/62.18 | ~ p2(X11,X13) ) ).
% 62.12/62.18
% 62.12/62.18 cnf(p7_29,negated_conjecture,
% 62.12/62.18 p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ).
% 62.12/62.18
% 62.12/62.18 cnf(not_p19_30,negated_conjecture,
% 62.12/62.18 ( ~ p19(X62,f3(f4(f5(c22))))
% 62.12/62.18 | ~ p20(X63,f6(f3(f4(f5(c22))),c21))
% 62.12/62.18 | ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
% 62.12/62.18 | ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27))))) ) ).
% 62.12/62.18
% 62.12/62.18 cnf(not_p19_31,negated_conjecture,
% 62.12/62.18 ( ~ p19(X62,f3(f4(f5(c22))))
% 62.12/62.18 | ~ p20(X63,f6(f3(f4(f5(c22))),c21))
% 62.12/62.18 | ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X63)
% 62.12/62.18 | ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27))))) ) ).
% 62.12/62.18
% 62.12/62.18 %--------------------------------------------------------------------------
% 62.12/62.18 %-------------------------------------------
% 62.12/62.18 % Proof found
% 62.12/62.18 % SZS status Theorem for theBenchmark
% 62.12/62.18 % SZS output start Proof
% 62.12/62.18 %ClaNum:31(EqnAxiom:0)
% 62.12/62.18 %VarNum:141(SingletonVarNum:70)
% 62.12/62.18 %MaxLitNum:4
% 62.12/62.18 %MaxfuncDepth:8
% 62.12/62.18 %SharedTerms:37
% 62.12/62.18 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
% 62.12/62.18 %singleGoalClaCount:10
% 62.12/62.18 [5]P3(a1,f7(a2))
% 62.12/62.18 [10]~P3(a3,f7(a2))
% 62.12/62.18 [6]P5(a4,f7(f18(f17(a2))))
% 62.12/62.18 [8]P3(a1,f12(f11(a8,f10(a3,a9)),a6))
% 62.12/62.18 [7]P6(a5,f19(f7(f18(f17(a2))),a3))
% 62.12/62.18 [9]P2(a6,f21(f14(f15(f13(f7(f17(a2)))),a4),f21(f14(f13(f7(f18(f17(a2)))),a1),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9)))))
% 62.12/62.18 [1]P1(x11,x11)
% 62.12/62.18 [2]P2(x21,x21)
% 62.12/62.18 [3]P3(x31,x31)
% 62.12/62.18 [4]P4(x41,x41)
% 62.12/62.18 [11]~P2(x111,x112)+P2(f15(x111),f15(x112))
% 62.12/62.18 [12]~P3(x121,x122)+P2(f13(x121),f13(x122))
% 62.12/62.18 [13]~P3(x131,x132)+P3(f7(x131),f7(x132))
% 62.12/62.18 [14]~P3(x141,x142)+P3(f17(x141),f17(x142))
% 62.12/62.18 [15]~P3(x151,x152)+P3(f18(x151),f18(x152))
% 62.12/62.18 [16]~P1(x163,x161)+P1(x161,x162)+~P1(x163,x162)
% 62.12/62.18 [17]~P2(x173,x171)+P2(x171,x172)+~P2(x173,x172)
% 62.12/62.18 [18]~P3(x183,x181)+P3(x181,x182)+~P3(x183,x182)
% 62.12/62.18 [19]~P4(x193,x191)+P4(x191,x192)+~P4(x193,x192)
% 62.12/62.18 [22]~P3(x221,x223)+~P4(x222,x224)+P1(f11(x221,x222),f11(x223,x224))
% 62.12/62.18 [23]~P2(x232,x234)+~P2(x231,x233)+P2(f20(x231,x232),f20(x233,x234))
% 62.12/62.18 [24]~P2(x242,x244)+~P2(x241,x243)+P2(f21(x241,x242),f21(x243,x244))
% 62.12/62.18 [25]~P2(x251,x253)+~P3(x252,x254)+P2(f14(x251,x252),f14(x253,x254))
% 62.12/62.18 [26]~P3(x262,x264)+~P3(x261,x263)+P3(f19(x261,x262),f19(x263,x264))
% 62.12/62.18 [27]~P1(x271,x273)+~P2(x272,x274)+P3(f12(x271,x272),f12(x273,x274))
% 62.12/62.18 [28]~P3(x282,x284)+~P3(x281,x283)+P3(f16(x281,x282),f16(x283,x284))
% 62.12/62.18 [29]~P3(x292,x294)+~P3(x291,x293)+P4(f10(x291,x292),f10(x293,x294))
% 62.12/62.18 [30]~P5(x301,f7(f18(f17(a2))))+~P3(f12(f11(a8,f10(a3,a9)),a6),f7(a2))+~P6(x302,f19(f7(f18(f17(a2))),a3))+~P2(a6,f21(f14(f15(f13(f7(f17(a2)))),x301),f21(f14(f13(f7(f18(f17(a2)))),f12(f11(a8,f10(a3,a9)),a6)),f20(f13(x302),f14(f13(f7(f18(f17(a2)))),a9)))))
% 62.12/62.18 [31]~P5(x311,f7(f18(f17(a2))))+~P6(x312,f19(f7(f18(f17(a2))),a3))+~P5(f19(f7(f18(f17(a2))),f16(a3,f7(f17(a2)))),x312)+~P2(a6,f21(f14(f15(f13(f7(f17(a2)))),x311),f21(f14(f13(f7(f18(f17(a2)))),f12(f11(a8,f10(a3,a9)),a6)),f20(f13(x312),f14(f13(f7(f18(f17(a2)))),a9)))))
% 62.12/62.18 [20]~P5(x204,x203)+P5(x201,x202)+~P3(x203,x202)+~P3(x204,x201)
% 62.12/62.18 [21]~P6(x213,x214)+P6(x211,x212)+~P3(x213,x211)+~P3(x214,x212)
% 62.12/62.18 %EqnAxiom
% 62.12/62.18
% 62.12/62.18 %-------------------------------------------
% 62.12/62.18 cnf(32,plain,
% 62.12/62.18 (P3(f18(a1),f18(f7(a2)))),
% 62.12/62.18 inference(scs_inference,[],[5,15])).
% 62.12/62.18 cnf(34,plain,
% 62.12/62.18 (P3(f7(a1),f7(f7(a2)))),
% 62.12/62.18 inference(scs_inference,[],[5,15,14,13])).
% 62.12/62.18 cnf(36,plain,
% 62.12/62.18 (P2(f13(a1),f13(f7(a2)))),
% 62.12/62.18 inference(scs_inference,[],[5,15,14,13,12])).
% 62.12/62.18 cnf(40,plain,
% 62.12/62.18 (P4(f10(a1,a1),f10(f7(a2),f7(a2)))),
% 62.12/62.18 inference(scs_inference,[],[5,15,14,13,12,11,29])).
% 62.12/62.18 cnf(42,plain,
% 62.12/62.18 (P3(f16(a1,a1),f16(f7(a2),f7(a2)))),
% 62.12/62.18 inference(scs_inference,[],[5,15,14,13,12,11,29,28])).
% 62.12/62.18 cnf(44,plain,
% 62.12/62.18 (P3(f19(a1,a1),f19(f7(a2),f7(a2)))),
% 62.12/62.18 inference(scs_inference,[],[5,15,14,13,12,11,29,28,26])).
% 62.12/62.18 cnf(46,plain,
% 62.12/62.18 (P2(f14(f13(a1),x461),f14(f13(f7(a2)),x461))),
% 62.12/62.18 inference(scs_inference,[],[3,5,15,14,13,12,11,29,28,26,25])).
% 62.12/62.18 cnf(48,plain,
% 62.12/62.18 (P2(f21(f13(a1),f13(a1)),f21(f13(f7(a2)),f13(f7(a2))))),
% 62.12/62.18 inference(scs_inference,[],[3,5,15,14,13,12,11,29,28,26,25,24])).
% 62.12/62.18 cnf(50,plain,
% 62.12/62.18 (P2(f20(f13(a1),f13(a1)),f20(f13(f7(a2)),f13(f7(a2))))),
% 62.12/62.18 inference(scs_inference,[],[3,5,15,14,13,12,11,29,28,26,25,24,23])).
% 62.12/62.18 cnf(52,plain,
% 62.12/62.18 (P1(f11(a1,x521),f11(f7(a2),x521))),
% 62.12/62.18 inference(scs_inference,[],[3,4,5,15,14,13,12,11,29,28,26,25,24,23,22])).
% 62.12/62.18 cnf(66,plain,
% 62.12/62.18 (P2(f21(f14(f15(f13(f7(f17(a2)))),a4),f21(f14(f13(f7(f18(f17(a2)))),a1),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9)))),a6)),
% 62.12/62.19 inference(scs_inference,[],[9,2,17])).
% 62.12/62.19 cnf(88,plain,
% 62.12/62.19 (~P3(f12(f11(a8,f10(a3,a9)),a6),f7(a2))+~P2(a6,f21(f14(f15(f13(f7(f17(a2)))),a4),f21(f14(f13(f7(f18(f17(a2)))),f12(f11(a8,f10(a3,a9)),a6)),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9)))))),
% 62.12/62.19 inference(scs_inference,[],[8,9,2,4,3,6,7,5,46,17,29,28,22,18,26,25,24,23,20,30])).
% 62.12/62.19 cnf(225,plain,
% 62.12/62.19 (P1(f11(a1,f10(a1,a1)),f11(f12(f11(a8,f10(a3,a9)),a6),f10(f7(a2),f7(a2))))),
% 62.12/62.19 inference(scs_inference,[],[8,40,22])).
% 62.12/62.19 cnf(250,plain,
% 62.12/62.19 (P1(f11(f19(a1,a1),f10(a1,a1)),f11(f19(f7(a2),f7(a2)),f10(f7(a2),f7(a2))))),
% 62.12/62.19 inference(scs_inference,[],[44,40,29,28,26,22])).
% 62.12/62.19 cnf(281,plain,
% 62.12/62.19 (P3(f12(f11(f19(a1,a1),f10(a1,a1)),f14(f13(a1),x2811)),f12(f11(f19(f7(a2),f7(a2)),f10(f7(a2),f7(a2))),f14(f13(f7(a2)),x2811)))),
% 62.12/62.19 inference(scs_inference,[],[46,42,250,25,27])).
% 62.12/62.19 cnf(289,plain,
% 62.12/62.19 (P3(f7(f16(a1,a1)),f7(f16(f7(a2),f7(a2))))),
% 62.12/62.19 inference(scs_inference,[],[42,281,26,13])).
% 62.12/62.19 cnf(307,plain,
% 62.12/62.19 (P2(f20(f21(f13(a1),f13(a1)),f21(f13(a1),f13(a1))),f20(f21(f13(f7(a2)),f13(f7(a2))),f21(f13(f7(a2)),f13(f7(a2)))))),
% 62.12/62.19 inference(scs_inference,[],[32,48,40,42,281,26,13,12,11,15,14,28,22,29,24,23])).
% 62.12/62.19 cnf(311,plain,
% 62.12/62.19 (P3(f19(f7(f16(a1,a1)),f7(f16(a1,a1))),f19(f7(f16(f7(a2),f7(a2))),f7(f16(f7(a2),f7(a2)))))),
% 62.12/62.19 inference(scs_inference,[],[289,28,26])).
% 62.12/62.19 cnf(335,plain,
% 62.12/62.19 (P3(f12(f11(a1,f10(a1,a1)),f20(f13(a1),f13(a1))),f12(f11(f12(f11(a8,f10(a3,a9)),a6),f10(f7(a2),f7(a2))),f20(f13(f7(a2)),f13(f7(a2)))))),
% 62.12/62.19 inference(scs_inference,[],[50,34,225,25,27])).
% 62.12/62.19 cnf(361,plain,
% 62.12/62.19 (P2(f20(f20(f13(a1),f13(a1)),f20(f13(a1),f13(a1))),f20(f20(f13(f7(a2)),f13(f7(a2))),f20(f13(f7(a2)),f13(f7(a2)))))),
% 62.12/62.19 inference(scs_inference,[],[34,40,50,335,28,26,22,24,23])).
% 62.12/62.19 cnf(370,plain,
% 62.12/62.19 (P1(f11(f16(a1,a1),f10(a1,a1)),f11(f16(f7(a2),f7(a2)),f10(f7(a2),f7(a2))))),
% 62.12/62.19 inference(scs_inference,[],[40,42,311,26,22])).
% 62.12/62.19 cnf(381,plain,
% 62.12/62.19 (P3(f12(f11(a1,x3811),f13(a1)),f12(f11(f7(a2),x3811),f13(f7(a2))))),
% 62.12/62.19 inference(scs_inference,[],[36,52,27])).
% 62.12/62.19 cnf(595,plain,
% 62.12/62.19 (~P2(f21(f14(f15(f13(f7(f17(a2)))),a4),f21(f14(f13(f7(f18(f17(a2)))),f12(f11(a8,f10(a3,a9)),a6)),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9)))),a6)+~P3(f12(f11(a8,f10(a3,a9)),a6),f7(a2))),
% 62.12/62.19 inference(scs_inference,[],[2,88,17])).
% 62.12/62.19 cnf(641,plain,
% 62.12/62.19 (~P2(f21(f14(f15(f13(f7(f17(a2)))),a4),f21(f14(f13(f7(f18(f17(a2)))),f12(f11(a8,f10(a3,a9)),a6)),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9)))),a6)),
% 62.12/62.19 inference(scs_inference,[],[8,5,595,18])).
% 62.12/62.19 cnf(2608,plain,
% 62.12/62.19 (P2(f20(f15(f20(f21(f13(a1),f13(a1)),f21(f13(a1),f13(a1)))),f15(f20(f21(f13(a1),f13(a1)),f21(f13(a1),f13(a1))))),f20(f15(f20(f21(f13(f7(a2)),f13(f7(a2))),f21(f13(f7(a2)),f13(f7(a2))))),f15(f20(f21(f13(f7(a2)),f13(f7(a2))),f21(f13(f7(a2)),f13(f7(a2)))))))),
% 62.12/62.19 inference(scs_inference,[],[307,11,23])).
% 62.12/62.19 cnf(3307,plain,
% 62.12/62.19 (~P2(f21(f14(f13(f7(f18(f17(a2)))),a1),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9))),f21(f14(f13(f7(f18(f17(a2)))),f12(f11(a8,f10(a3,a9)),a6)),f20(f13(a5),f14(f13(f7(f18(f17(a2)))),a9))))),
% 62.12/62.19 inference(scs_inference,[],[361,381,370,641,2608,66,2,27,25,17,11,13,15,14,24])).
% 62.12/62.19 cnf(3320,plain,
% 62.12/62.19 (P2(x33201,x33201)),
% 62.12/62.19 inference(rename_variables,[],[2])).
% 62.12/62.19 cnf(3322,plain,
% 62.12/62.19 ($false),
% 62.12/62.19 inference(scs_inference,[],[2,3320,8,3307,24,25]),
% 62.12/62.19 ['proof']).
% 62.12/62.19 % SZS output end Proof
% 62.12/62.19 % Total time :61.540000s
%------------------------------------------------------------------------------