%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM840+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Mon Jun 24 12:26:41 EDT 2024
% Result : Theorem 0.70s 0.82s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM840+2 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n032.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Jun 22 19:24:23 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 0.70/0.81 %-------------------------------------------
% 0.70/0.81 % File :CSE---1.7
% 0.70/0.81 % Problem :theBenchmark
% 0.70/0.81 % Transform :cnf
% 0.70/0.81 % Format :tptp:raw
% 0.70/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.81
% 0.70/0.81 % Result :Theorem 0.200000s
% 0.70/0.81 % Output :CNFRefutation 0.200000s
% 0.70/0.81 %-------------------------------------------
% 0.70/0.81 %------------------------------------------------------------------------------
% 0.70/0.81 % File : NUM840+2 : TPTP v8.2.0. Released v4.1.0.
% 0.70/0.81 % Domain : Number Theory
% 0.70/0.81 % Problem : holds(conseq(conjunct2(conjunct2(204))),336,0)
% 0.70/0.81 % Version : Especial: Reduced > Especial.
% 0.70/0.81 % English :
% 0.70/0.81
% 0.70/0.81 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.70/0.81 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.70/0.81 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.70/0.81 % Source : [Kue09]
% 0.70/0.81 % Names :
% 0.70/0.81
% 0.70/0.81 % Status : Theorem
% 0.70/0.81 % Rating : 0.19 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.27 v6.0.0, 0.30 v5.4.0, 0.29 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0
% 0.70/0.81 % Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% 0.70/0.81 % Number of atoms : 47 ( 27 equ)
% 0.70/0.81 % Maximal formula atoms : 3 ( 1 avg)
% 0.70/0.81 % Number of connectives : 36 ( 15 ~; 10 |; 1 &)
% 0.70/0.81 % ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% 0.70/0.81 % Maximal formula depth : 6 ( 4 avg)
% 0.70/0.81 % Maximal term depth : 3 ( 1 avg)
% 0.70/0.81 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% 0.70/0.81 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 0.70/0.81 % Number of variables : 56 ( 48 !; 8 ?)
% 0.70/0.81 % SPC : FOF_THM_RFO_SEQ
% 0.70/0.81
% 0.70/0.81 % Comments : From the Landau in Naproche 0.45 collection.
% 0.70/0.81 % : This version uses a filtered set of axioms.
% 0.70/0.81 %------------------------------------------------------------------------------
% 0.70/0.81 fof('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture,
% 0.70/0.81 less(vd328,vd329) ).
% 0.70/0.81
% 0.70/0.81 fof('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom,
% 0.70/0.82 less(vplus(vd328,vd330),vplus(vd329,vd330)) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(conjunct1(conjunct2(204)), 0), 0)',axiom,
% 0.70/0.82 ( vplus(vd328,vd330) = vplus(vd329,vd330)
% 0.70/0.82 => vd328 = vd329 ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(conjunct1(204), 0), 0)',axiom,
% 0.70/0.82 ( greater(vplus(vd328,vd330),vplus(vd329,vd330))
% 0.70/0.82 => greater(vd328,vd329) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.70/0.82 ! [Vd301,Vd302,Vd303] :
% 0.70/0.82 ( less(Vd301,Vd302)
% 0.70/0.82 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.70/0.82 ! [Vd301,Vd302,Vd303] :
% 0.70/0.82 ( Vd301 = Vd302
% 0.70/0.82 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.70/0.82 ! [Vd301,Vd302,Vd303] :
% 0.70/0.82 ( greater(Vd301,Vd302)
% 0.70/0.82 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(147, 0), 0)',axiom,
% 0.70/0.82 ! [Vd226,Vd227] :
% 0.70/0.82 ( less(Vd226,Vd227)
% 0.70/0.82 => greater(Vd227,Vd226) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(140, 0), 0)',axiom,
% 0.70/0.82 ! [Vd208,Vd209] :
% 0.70/0.82 ( greater(Vd208,Vd209)
% 0.70/0.82 => less(Vd209,Vd208) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.70/0.82 ! [Vd203,Vd204] :
% 0.70/0.82 ( Vd203 = Vd204
% 0.70/0.82 | greater(Vd203,Vd204)
% 0.70/0.82 | less(Vd203,Vd204) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.70/0.82 ! [Vd203,Vd204] :
% 0.70/0.82 ( Vd203 != Vd204
% 0.70/0.82 | ~ less(Vd203,Vd204) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.70/0.82 ! [Vd203,Vd204] :
% 0.70/0.82 ( ~ greater(Vd203,Vd204)
% 0.70/0.82 | ~ less(Vd203,Vd204) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.70/0.82 ! [Vd203,Vd204] :
% 0.70/0.82 ( Vd203 != Vd204
% 0.70/0.82 | ~ greater(Vd203,Vd204) ) ).
% 0.70/0.82
% 0.70/0.82 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.70/0.82 ! [Vd198,Vd199] :
% 0.70/0.82 ( less(Vd199,Vd198)
% 0.70/0.82 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.70/0.82
% 0.70/0.82 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.70/0.82 ! [Vd193,Vd194] :
% 0.70/0.82 ( greater(Vd194,Vd193)
% 0.70/0.82 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.70/0.82 ! [Vd120,Vd121] :
% 0.70/0.82 ( Vd120 = Vd121
% 0.70/0.82 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.70/0.82 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.70/0.82 ! [Vd120,Vd121] :
% 0.70/0.82 ( Vd120 != Vd121
% 0.70/0.82 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.70/0.82 ! [Vd120,Vd121] :
% 0.70/0.82 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.70/0.82 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.70/0.82 ! [Vd120,Vd121] :
% 0.70/0.82 ( Vd120 != Vd121
% 0.70/0.82 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(81, 0), 0)',axiom,
% 0.70/0.82 ! [Vd104,Vd105] :
% 0.70/0.82 ( Vd104 != Vd105
% 0.70/0.82 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(73, 0), 0)',axiom,
% 0.70/0.82 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(61, 0), 0)',axiom,
% 0.70/0.82 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(52, 0), 0)',axiom,
% 0.70/0.82 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(43, 0), 0)',axiom,
% 0.70/0.82 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.70/0.82
% 0.70/0.82 fof('ass(cond(33, 0), 0)',axiom,
% 0.70/0.82 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.70/0.82
% 0.70/0.82 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.70/0.82 ! [Vd42,Vd43] :
% 0.70/0.82 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.70/0.82 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.70/0.82
% 0.70/0.82 %------------------------------------------------------------------------------
% 0.70/0.82 %-------------------------------------------
% 0.70/0.82 % Proof found
% 0.70/0.82 % SZS status Theorem for theBenchmark
% 0.70/0.82 % SZS output start Proof
% 0.70/0.82 %ClaNum:44(EqnAxiom:17)
% 0.70/0.82 %VarNum:109(SingletonVarNum:52)
% 0.70/0.82 %MaxLitNum:3
% 0.70/0.82 %MaxfuncDepth:2
% 0.70/0.82 %SharedTerms:12
% 0.70/0.82 %goalClause: 24
% 0.70/0.82 %singleGoalClaCount:1
% 0.70/0.82 [24]~P1(a7,a9)
% 0.70/0.82 [20]P1(f6(a7,a8),f6(a9,a8))
% 0.70/0.82 [19]E(f6(x191,x192),f6(x192,x191))
% 0.70/0.82 [25]~E(f6(x251,x252),x252)
% 0.70/0.82 [22]E(f6(f6(x221,a1),x222),f6(f6(x221,x222),a1))
% 0.70/0.82 [23]E(f6(f6(x231,x232),x233),f6(x231,f6(x232,x233)))
% 0.70/0.82 [31]~E(f6(a9,a8),f6(a7,a8))+E(a9,a7)
% 0.70/0.82 [44]~P2(f6(a7,a8),f6(a9,a8))+P2(a7,a9)
% 0.70/0.82 [26]~P1(x261,x262)+~E(x261,x262)
% 0.70/0.82 [27]~P2(x271,x272)+~E(x271,x272)
% 0.70/0.82 [32]~P2(x322,x321)+P1(x321,x322)
% 0.70/0.82 [33]~P1(x332,x331)+P2(x331,x332)
% 0.70/0.82 [36]~P2(x361,x362)+~P1(x361,x362)
% 0.70/0.82 [39]~P1(x391,x392)+E(f6(x391,f2(x392,x391)),x392)
% 0.70/0.82 [40]~P2(x402,x401)+E(f6(x401,f3(x401,x402)),x402)
% 0.70/0.82 [28]~E(x281,x282)+~E(x282,f6(x281,x283))
% 0.70/0.82 [29]~E(x291,x292)+~E(x291,f6(x292,x293))
% 0.70/0.82 [34]P1(x341,x342)+~E(x342,f6(x341,x343))
% 0.70/0.82 [35]P2(x351,x352)+~E(x351,f6(x352,x353))
% 0.70/0.82 [37]E(x371,x372)+~E(f6(x373,x371),f6(x373,x372))
% 0.70/0.82 [42]~P1(x421,x423)+P1(f6(x421,x422),f6(x423,x422))
% 0.70/0.82 [43]~P2(x431,x433)+P2(f6(x431,x432),f6(x433,x432))
% 0.70/0.82 [38]~E(x381,f6(x382,x383))+~E(x382,f6(x381,x384))
% 0.70/0.82 [30]P1(x301,x302)+P2(x301,x302)+E(x301,x302)
% 0.70/0.82 [41]E(x411,x412)+E(f6(x411,f4(x411,x412)),x412)+E(f6(x412,f5(x411,x412)),x411)
% 0.70/0.82 %EqnAxiom
% 0.70/0.82 [1]E(x11,x11)
% 0.70/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.82 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.70/0.82 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.70/0.82 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.70/0.82 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.70/0.82 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.70/0.82 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.70/0.82 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.70/0.82 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.70/0.82 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 0.70/0.82 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 0.70/0.82 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.70/0.82 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.70/0.82 [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 0.70/0.82 [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 0.70/0.82
% 0.70/0.82 %-------------------------------------------
% 0.70/0.82 cnf(45,plain,
% 0.70/0.82 (~P1(x451,x451)),
% 0.70/0.82 inference(equality_inference,[],[26])).
% 0.70/0.82 cnf(46,plain,
% 0.70/0.82 (~P2(x461,x461)),
% 0.70/0.82 inference(equality_inference,[],[27])).
% 0.70/0.82 cnf(47,plain,
% 0.70/0.82 (P1(x471,f6(x471,x472))),
% 0.70/0.82 inference(equality_inference,[],[34])).
% 0.70/0.82 cnf(48,plain,
% 0.70/0.82 (P2(f6(x481,x482),x481)),
% 0.70/0.82 inference(equality_inference,[],[35])).
% 0.70/0.82 cnf(50,plain,
% 0.70/0.82 (~P2(a9,a7)),
% 0.70/0.82 inference(scs_inference,[],[24,32])).
% 0.70/0.82 cnf(52,plain,
% 0.70/0.82 (P1(x521,f6(x522,x521))),
% 0.70/0.82 inference(scs_inference,[],[24,19,32,34])).
% 0.70/0.82 cnf(54,plain,
% 0.70/0.82 (~P1(f6(x541,x542),f6(x542,x541))),
% 0.70/0.82 inference(scs_inference,[],[24,19,32,34,26])).
% 0.70/0.82 cnf(60,plain,
% 0.70/0.82 (~E(f6(f6(x601,x602),x603),x601)),
% 0.70/0.82 inference(scs_inference,[],[24,19,23,32,34,26,27,28,29])).
% 0.70/0.82 cnf(68,plain,
% 0.70/0.82 (~P1(f6(x681,x682),x681)),
% 0.70/0.82 inference(scs_inference,[],[24,47,19,23,32,34,26,27,28,29,35,36,38,39])).
% 0.70/0.82 cnf(70,plain,
% 0.70/0.82 (E(f6(f6(x701,x702),a1),f6(f6(x701,a1),x702))),
% 0.70/0.82 inference(scs_inference,[],[24,47,19,23,22,32,34,26,27,28,29,35,36,38,39,2])).
% 0.70/0.82 cnf(72,plain,
% 0.70/0.82 (~E(x721,f6(x721,x722))),
% 0.70/0.82 inference(scs_inference,[],[24,47,45,19,23,22,32,34,26,27,28,29,35,36,38,39,2,4,14])).
% 0.70/0.82 cnf(74,plain,
% 0.70/0.83 (~E(f6(a7,x741),a9)),
% 0.70/0.83 inference(scs_inference,[],[24,47,45,19,23,22,32,34,26,27,28,29,35,36,38,39,2,4,14,15])).
% 0.70/0.83 cnf(76,plain,
% 0.70/0.83 (~E(f6(x761,x762),x761)),
% 0.70/0.83 inference(scs_inference,[],[24,47,45,46,48,19,23,22,32,34,26,27,28,29,35,36,38,39,2,4,14,15,16])).
% 0.70/0.83 cnf(92,plain,
% 0.70/0.83 (~P2(x921,f6(x922,x921))),
% 0.70/0.83 inference(scs_inference,[],[52,70,27,35,38,26,36])).
% 0.70/0.83 cnf(96,plain,
% 0.70/0.83 (~P2(f6(f6(x961,a1),x962),f6(f6(x961,x962),a1))),
% 0.70/0.83 inference(scs_inference,[],[52,70,27,35,38,26,36,29,32])).
% 0.70/0.83 cnf(98,plain,
% 0.70/0.83 (P1(f6(x981,a1),f6(f6(x981,x982),a1))),
% 0.70/0.83 inference(scs_inference,[],[52,70,27,35,38,26,36,29,32,34])).
% 0.70/0.83 cnf(103,plain,
% 0.70/0.83 (E(f6(x1031,f6(x1032,x1033)),f6(f6(x1031,x1032),x1033))),
% 0.70/0.83 inference(scs_inference,[],[52,70,23,27,35,38,26,36,29,32,34,4,28,2])).
% 0.70/0.83 cnf(104,plain,
% 0.70/0.83 (E(f6(x1041,f5(f6(x1041,x1042),x1041)),f6(x1041,x1042))),
% 0.70/0.83 inference(scs_inference,[],[52,76,60,70,23,27,35,38,26,36,29,32,34,4,28,2,41])).
% 0.70/0.83 cnf(112,plain,
% 0.70/0.83 (~E(f6(a7,a8),f6(a8,a9))),
% 0.70/0.83 inference(scs_inference,[],[24,52,72,54,76,60,70,20,23,27,35,38,26,36,29,32,34,4,28,2,41,15,3,14])).
% 0.70/0.83 cnf(114,plain,
% 0.70/0.83 (E(f5(f6(x1141,x1142),x1141),x1142)),
% 0.70/0.83 inference(scs_inference,[],[24,52,72,54,76,60,70,20,23,27,35,38,26,36,29,32,34,4,28,2,41,15,3,14,37])).
% 0.70/0.83 cnf(124,plain,
% 0.70/0.83 (~P2(f6(x1241,f5(f6(x1241,x1242),x1241)),f6(x1241,x1242))),
% 0.70/0.83 inference(scs_inference,[],[104,92,103,26,38,33,27])).
% 0.70/0.83 cnf(134,plain,
% 0.70/0.83 (P1(f6(x1341,x1342),f6(x1341,f6(x1342,x1343)))),
% 0.70/0.83 inference(scs_inference,[],[104,92,103,26,38,33,27,32,35,28,29,34])).
% 0.70/0.83 cnf(138,plain,
% 0.70/0.83 (E(f6(x1381,x1382),f6(x1381,f5(f6(x1381,x1382),x1381)))),
% 0.70/0.83 inference(scs_inference,[],[98,104,92,103,26,38,33,27,32,35,28,29,34,36,2])).
% 0.70/0.83 cnf(143,plain,
% 0.70/0.83 (~P1(f6(x1431,x1432),x1431)),
% 0.70/0.83 inference(rename_variables,[],[68])).
% 0.70/0.83 cnf(144,plain,
% 0.70/0.83 (~E(f6(a7,a8),f6(f6(a9,a8),x1441))),
% 0.70/0.83 inference(scs_inference,[],[96,98,112,104,68,143,92,103,20,26,38,33,27,32,35,28,29,34,36,2,16,3,15,14])).
% 0.70/0.83 cnf(156,plain,
% 0.70/0.83 (E(x1561,f5(f6(x1562,x1561),x1562))),
% 0.70/0.83 inference(scs_inference,[],[124,114,138,33,27,37])).
% 0.70/0.83 cnf(161,plain,
% 0.70/0.83 (E(f5(f6(x1611,x1612),x1611),x1612)),
% 0.70/0.83 inference(rename_variables,[],[114])).
% 0.70/0.83 cnf(165,plain,
% 0.70/0.83 (P1(x1651,f5(f6(x1652,f6(x1651,x1653)),x1652))),
% 0.70/0.83 inference(scs_inference,[],[124,114,161,138,22,33,27,37,26,28,38,34])).
% 0.70/0.83 cnf(166,plain,
% 0.70/0.83 (E(f5(f6(x1661,x1662),x1661),x1662)),
% 0.70/0.83 inference(rename_variables,[],[114])).
% 0.70/0.83 cnf(168,plain,
% 0.70/0.83 (~P2(f6(x1681,x1682),f6(x1681,f6(x1682,x1683)))),
% 0.70/0.83 inference(scs_inference,[],[134,124,114,161,138,22,33,27,37,26,28,38,34,36])).
% 0.70/0.83 cnf(171,plain,
% 0.70/0.83 (E(f5(f6(x1711,x1712),x1711),x1712)),
% 0.70/0.83 inference(rename_variables,[],[114])).
% 0.70/0.83 cnf(173,plain,
% 0.70/0.83 (~E(f5(f6(x1731,f6(x1732,x1733)),x1731),x1732)),
% 0.70/0.83 inference(scs_inference,[],[134,124,114,161,166,171,138,22,33,27,37,26,28,38,34,36,35,29])).
% 0.70/0.83 cnf(180,plain,
% 0.70/0.83 (~P1(x1801,x1801)),
% 0.70/0.83 inference(rename_variables,[],[45])).
% 0.70/0.83 cnf(181,plain,
% 0.70/0.83 (~E(f6(a7,a8),f6(a9,a8))),
% 0.70/0.83 inference(scs_inference,[],[50,134,45,180,124,114,161,166,171,138,22,20,33,27,37,26,28,38,34,36,35,29,32,16,15,14])).
% 0.70/0.83 cnf(197,plain,
% 0.70/0.83 (P1(f6(x1971,x1972),f6(f6(x1971,a1),x1972))),
% 0.70/0.83 inference(scs_inference,[],[156,173,22,6,26,5,34])).
% 0.70/0.83 cnf(209,plain,
% 0.70/0.83 (~P2(x2091,f5(f6(x2092,f6(x2091,x2093)),x2092))),
% 0.70/0.83 inference(scs_inference,[],[165,156,168,173,22,23,6,26,5,34,33,35,27,38,29,36])).
% 0.70/0.83 cnf(214,plain,
% 0.70/0.83 (E(f6(a9,f5(a7,a9)),a7)),
% 0.70/0.83 inference(scs_inference,[],[165,181,74,156,168,173,22,23,6,26,5,34,33,35,27,38,29,36,28,4,41])).
% 0.70/0.83 cnf(217,plain,
% 0.70/0.83 (~E(f6(a7,a8),f6(f6(a9,a1),a8))),
% 0.70/0.83 inference(scs_inference,[],[165,144,181,74,156,168,173,22,23,6,26,5,34,33,35,27,38,29,36,28,4,41,3])).
% 0.70/0.83 cnf(222,plain,
% 0.70/0.83 (E(a7,f6(a9,f5(a7,a9)))),
% 0.70/0.83 inference(scs_inference,[],[165,144,181,74,54,156,168,173,22,23,20,6,26,5,34,33,35,27,38,29,36,28,4,41,3,15,2])).
% 0.70/0.83 cnf(223,plain,
% 0.70/0.83 (P1(x2231,f6(f6(x2231,x2232),x2233))),
% 0.70/0.83 inference(scs_inference,[],[23,34])).
% 0.70/0.83 cnf(229,plain,
% 0.70/0.83 (~P2(f6(x2291,x2292),f6(f6(x2291,a1),x2292))),
% 0.70/0.83 inference(scs_inference,[],[197,214,23,34,27,26,36])).
% 0.70/0.83 cnf(233,plain,
% 0.70/0.83 (P2(a7,a9)),
% 0.70/0.83 inference(scs_inference,[],[197,214,222,23,34,27,26,36,38,35])).
% 0.70/0.83 cnf(240,plain,
% 0.70/0.83 (~E(f6(f6(a7,x2401),x2402),f6(a9,f5(a7,a9)))),
% 0.70/0.83 inference(scs_inference,[],[197,60,209,214,217,222,23,34,27,26,36,38,35,33,32,4,3])).
% 0.70/0.83 cnf(242,plain,
% 0.70/0.83 (~E(f6(f6(a7,x2421),x2422),a9)),
% 0.70/0.83 inference(scs_inference,[],[24,197,60,209,214,217,222,23,34,27,26,36,38,35,33,32,4,3,15])).
% 0.70/0.83 cnf(248,plain,
% 0.70/0.83 (~E(f6(f6(a7,x2481),x2482),a9)),
% 0.70/0.83 inference(rename_variables,[],[242])).
% 0.70/0.83 cnf(253,plain,
% 0.70/0.83 (~P2(x2531,f6(f6(x2531,x2532),x2533))),
% 0.70/0.83 inference(scs_inference,[],[223,240,242,39,40,36])).
% 0.70/0.83 cnf(274,plain,
% 0.70/0.83 (E(f6(a7,x2741),f6(a9,f5(f6(a7,x2741),a9)))),
% 0.70/0.83 inference(scs_inference,[],[223,76,74,229,240,242,248,222,214,103,23,39,40,36,26,33,27,35,41,3,29,34,28,2])).
% 0.70/0.83 cnf(301,plain,
% 0.70/0.83 ($false),
% 0.70/0.83 inference(scs_inference,[],[253,233,274,20,23,26,36,35,33,27,43]),
% 0.70/0.83 ['proof']).
% 0.70/0.83 % SZS output end Proof
% 0.70/0.83 % Total time :0.200000s
%------------------------------------------------------------------------------