TSTP Solution File: NUM840+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 10:25:18 EDT 2023
% Result : Theorem 0.20s 0.73s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 14:06:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % File :CSE---1.6
% 0.20/0.71 % Problem :theBenchmark
% 0.20/0.71 % Transform :cnf
% 0.20/0.71 % Format :tptp:raw
% 0.20/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.71
% 0.20/0.71 % Result :Theorem 0.050000s
% 0.20/0.71 % Output :CNFRefutation 0.050000s
% 0.20/0.71 %-------------------------------------------
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 % File : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.72 % Domain : Number Theory
% 0.20/0.72 % Problem : holds(conseq(conjunct2(conjunct2(204))),336,0)
% 0.20/0.72 % Version : Especial.
% 0.20/0.72 % English :
% 0.20/0.72
% 0.20/0.72 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.20/0.72 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.20/0.72 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.20/0.72 % Source : [Kue09]
% 0.20/0.72 % Names :
% 0.20/0.72
% 0.20/0.72 % Status : Theorem
% 0.20/0.72 % Rating : 0.22 v8.1.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.30 v7.3.0, 0.34 v7.2.0, 0.28 v7.1.0, 0.35 v7.0.0, 0.27 v6.4.0, 0.35 v6.3.0, 0.29 v6.2.0, 0.32 v6.1.0, 0.30 v5.5.0, 0.33 v5.4.0, 0.32 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.33 v4.1.0
% 0.20/0.72 % Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% 0.20/0.72 % Number of atoms : 77 ( 37 equ)
% 0.20/0.72 % Maximal formula atoms : 5 ( 1 avg)
% 0.20/0.72 % Number of connectives : 58 ( 20 ~; 13 |; 5 &)
% 0.20/0.72 % ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% 0.20/0.72 % Maximal formula depth : 7 ( 4 avg)
% 0.20/0.72 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.72 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.72 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.20/0.72 % Number of variables : 82 ( 74 !; 8 ?)
% 0.20/0.72 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.72
% 0.20/0.72 % Comments : From the Landau in Naproche 0.45 collection.
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 fof('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture,
% 0.20/0.72 less(vd328,vd329) ).
% 0.20/0.72
% 0.20/0.72 fof('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom,
% 0.20/0.72 less(vplus(vd328,vd330),vplus(vd329,vd330)) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(conjunct1(conjunct2(204)), 0), 0)',axiom,
% 0.20/0.72 ( vplus(vd328,vd330) = vplus(vd329,vd330)
% 0.20/0.72 => vd328 = vd329 ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(conjunct1(204), 0), 0)',axiom,
% 0.20/0.72 ( greater(vplus(vd328,vd330),vplus(vd329,vd330))
% 0.20/0.72 => greater(vd328,vd329) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.20/0.72 ! [Vd301,Vd302,Vd303] :
% 0.20/0.72 ( less(Vd301,Vd302)
% 0.20/0.72 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.20/0.72 ! [Vd301,Vd302,Vd303] :
% 0.20/0.72 ( Vd301 = Vd302
% 0.20/0.72 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.20/0.72 ! [Vd301,Vd302,Vd303] :
% 0.20/0.72 ( greater(Vd301,Vd302)
% 0.20/0.72 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(189, 0), 0)',axiom,
% 0.20/0.72 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(184, 0), 0)',axiom,
% 0.20/0.72 ! [Vd289,Vd290,Vd292] :
% 0.20/0.72 ( ( leq(Vd290,Vd292)
% 0.20/0.72 & leq(Vd289,Vd290) )
% 0.20/0.72 => leq(Vd289,Vd292) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(177), 0), 0)',axiom,
% 0.20/0.72 ! [Vd281,Vd282,Vd283] :
% 0.20/0.72 ( ( ( less(Vd282,Vd283)
% 0.20/0.72 & leq(Vd281,Vd282) )
% 0.20/0.72 | ( leq(Vd282,Vd283)
% 0.20/0.72 & less(Vd281,Vd282) ) )
% 0.20/0.72 => less(Vd281,Vd283) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(168, 0), 0)',axiom,
% 0.20/0.72 ! [Vd262,Vd263,Vd265] :
% 0.20/0.72 ( ( less(Vd263,Vd265)
% 0.20/0.72 & less(Vd262,Vd263) )
% 0.20/0.72 => less(Vd262,Vd265) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(163, 0), 0)',axiom,
% 0.20/0.72 ! [Vd258,Vd259] :
% 0.20/0.72 ( leq(Vd258,Vd259)
% 0.20/0.72 => geq(Vd259,Vd258) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(158, 0), 0)',axiom,
% 0.20/0.72 ! [Vd254,Vd255] :
% 0.20/0.72 ( geq(Vd254,Vd255)
% 0.20/0.72 => leq(Vd255,Vd254) ) ).
% 0.20/0.72
% 0.20/0.72 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 0.20/0.72 ! [Vd249,Vd250] :
% 0.20/0.72 ( leq(Vd250,Vd249)
% 0.20/0.72 <=> ( less(Vd250,Vd249)
% 0.20/0.72 | Vd250 = Vd249 ) ) ).
% 0.20/0.72
% 0.20/0.72 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 0.20/0.72 ! [Vd244,Vd245] :
% 0.20/0.72 ( geq(Vd245,Vd244)
% 0.20/0.72 <=> ( greater(Vd245,Vd244)
% 0.20/0.72 | Vd245 = Vd244 ) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(147, 0), 0)',axiom,
% 0.20/0.72 ! [Vd226,Vd227] :
% 0.20/0.72 ( less(Vd226,Vd227)
% 0.20/0.72 => greater(Vd227,Vd226) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(140, 0), 0)',axiom,
% 0.20/0.72 ! [Vd208,Vd209] :
% 0.20/0.72 ( greater(Vd208,Vd209)
% 0.20/0.72 => less(Vd209,Vd208) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.20/0.72 ! [Vd203,Vd204] :
% 0.20/0.72 ( Vd203 = Vd204
% 0.20/0.72 | greater(Vd203,Vd204)
% 0.20/0.72 | less(Vd203,Vd204) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.20/0.72 ! [Vd203,Vd204] :
% 0.20/0.72 ( Vd203 != Vd204
% 0.20/0.72 | ~ less(Vd203,Vd204) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.20/0.72 ! [Vd203,Vd204] :
% 0.20/0.72 ( ~ greater(Vd203,Vd204)
% 0.20/0.72 | ~ less(Vd203,Vd204) ) ).
% 0.20/0.72
% 0.20/0.72 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.20/0.72 ! [Vd203,Vd204] :
% 0.20/0.72 ( Vd203 != Vd204
% 0.20/0.72 | ~ greater(Vd203,Vd204) ) ).
% 0.20/0.72
% 0.20/0.73 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.20/0.73 ! [Vd198,Vd199] :
% 0.20/0.73 ( less(Vd199,Vd198)
% 0.20/0.73 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.20/0.73
% 0.20/0.73 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.20/0.73 ! [Vd193,Vd194] :
% 0.20/0.73 ( greater(Vd194,Vd193)
% 0.20/0.73 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.20/0.73 ! [Vd120,Vd121] :
% 0.20/0.73 ( Vd120 = Vd121
% 0.20/0.73 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.20/0.73 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.20/0.73 ! [Vd120,Vd121] :
% 0.20/0.73 ( Vd120 != Vd121
% 0.20/0.73 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.20/0.73 ! [Vd120,Vd121] :
% 0.20/0.73 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.20/0.73 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.20/0.73 ! [Vd120,Vd121] :
% 0.20/0.73 ( Vd120 != Vd121
% 0.20/0.73 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(81, 0), 0)',axiom,
% 0.20/0.73 ! [Vd104,Vd105] :
% 0.20/0.73 ( Vd104 != Vd105
% 0.20/0.73 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(73, 0), 0)',axiom,
% 0.20/0.73 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(61, 0), 0)',axiom,
% 0.20/0.73 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(52, 0), 0)',axiom,
% 0.20/0.73 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(43, 0), 0)',axiom,
% 0.20/0.73 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(33, 0), 0)',axiom,
% 0.20/0.73 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.20/0.73
% 0.20/0.73 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.20/0.73 ! [Vd42,Vd43] :
% 0.20/0.73 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.20/0.73 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(20, 0), 0)',axiom,
% 0.20/0.73 ! [Vd24] :
% 0.20/0.73 ( Vd24 != v1
% 0.20/0.73 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(12, 0), 0)',axiom,
% 0.20/0.73 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.20/0.73
% 0.20/0.73 fof('ass(cond(6, 0), 0)',axiom,
% 0.20/0.73 ! [Vd7,Vd8] :
% 0.20/0.73 ( Vd7 != Vd8
% 0.20/0.73 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.20/0.73
% 0.20/0.73 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
% 0.20/0.73 ! [Vd3,Vd4] :
% 0.20/0.73 ( vsucc(Vd3) = vsucc(Vd4)
% 0.20/0.73 => Vd3 = Vd4 ) ).
% 0.20/0.73
% 0.20/0.73 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
% 0.20/0.73 ! [Vd1] : vsucc(Vd1) != v1 ).
% 0.20/0.73
% 0.20/0.73 %------------------------------------------------------------------------------
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 % Proof found
% 0.20/0.73 % SZS status Theorem for theBenchmark
% 0.20/0.73 % SZS output start Proof
% 0.20/0.73 %ClaNum:67(EqnAxiom:22)
% 0.20/0.73 %VarNum:181(SingletonVarNum:86)
% 0.20/0.73 %MaxLitNum:3
% 0.20/0.73 %MaxfuncDepth:2
% 0.20/0.73 %SharedTerms:12
% 0.20/0.73 %goalClause: 30
% 0.20/0.73 %singleGoalClaCount:1
% 0.20/0.73 [30]~P3(a7,a9)
% 0.20/0.73 [26]P3(f6(a7,a8),f6(a9,a8))
% 0.20/0.73 [32]~E(f6(x321,a1),x321)
% 0.20/0.73 [24]E(f6(x241,x242),f6(x242,x241))
% 0.20/0.73 [25]P1(f6(x251,x252),x251)
% 0.20/0.73 [33]~E(f6(x331,x332),x332)
% 0.20/0.73 [28]E(f6(f6(x281,a1),x282),f6(f6(x281,x282),a1))
% 0.20/0.73 [29]E(f6(f6(x291,x292),x293),f6(x291,f6(x292,x293)))
% 0.20/0.73 [42]~E(f6(a9,a8),f6(a7,a8))+E(a9,a7)
% 0.20/0.73 [67]~P1(f6(a7,a8),f6(a9,a8))+P1(a7,a9)
% 0.20/0.73 [36]E(x361,a1)+E(f6(f10(x361),a1),x361)
% 0.20/0.73 [34]~E(x341,x342)+P4(x341,x342)
% 0.20/0.73 [35]~E(x351,x352)+P2(x351,x352)
% 0.20/0.73 [37]~P3(x371,x372)+~E(x371,x372)
% 0.20/0.73 [38]~P1(x381,x382)+~E(x381,x382)
% 0.20/0.73 [43]~P1(x432,x431)+P3(x431,x432)
% 0.20/0.73 [44]~P3(x442,x441)+P1(x441,x442)
% 0.20/0.73 [45]~P2(x452,x451)+P4(x451,x452)
% 0.20/0.73 [46]~P3(x461,x462)+P4(x461,x462)
% 0.20/0.73 [47]~P4(x472,x471)+P2(x471,x472)
% 0.20/0.73 [48]~P1(x481,x482)+P2(x481,x482)
% 0.20/0.73 [55]~P1(x551,x552)+~P3(x551,x552)
% 0.20/0.73 [54]E(x541,x542)+~E(f6(x541,a1),f6(x542,a1))
% 0.20/0.73 [62]~P3(x621,x622)+E(f6(x621,f2(x622,x621)),x622)
% 0.20/0.73 [63]~P1(x632,x631)+E(f6(x631,f3(x631,x632)),x632)
% 0.20/0.73 [39]~E(x391,x392)+~E(x392,f6(x391,x393))
% 0.20/0.73 [40]~E(x401,x402)+~E(x401,f6(x402,x403))
% 0.20/0.73 [49]P3(x491,x492)+~E(x492,f6(x491,x493))
% 0.20/0.73 [50]P1(x501,x502)+~E(x501,f6(x502,x503))
% 0.20/0.73 [56]E(x561,x562)+~E(f6(x563,x561),f6(x563,x562))
% 0.20/0.73 [65]~P3(x651,x653)+P3(f6(x651,x652),f6(x653,x652))
% 0.20/0.73 [66]~P1(x661,x663)+P1(f6(x661,x662),f6(x663,x662))
% 0.20/0.73 [57]~E(x571,f6(x572,x573))+~E(x572,f6(x571,x574))
% 0.20/0.73 [41]P3(x411,x412)+P1(x411,x412)+E(x411,x412)
% 0.20/0.73 [51]P3(x511,x512)+~P4(x511,x512)+E(x511,x512)
% 0.20/0.73 [52]P1(x521,x522)+~P2(x521,x522)+E(x521,x522)
% 0.20/0.73 [64]E(x641,x642)+E(f6(x641,f4(x641,x642)),x642)+E(f6(x642,f5(x641,x642)),x641)
% 0.20/0.73 [58]~P3(x583,x582)+P3(x581,x582)+~P3(x581,x583)
% 0.20/0.73 [59]~P4(x593,x592)+P3(x591,x592)+~P3(x591,x593)
% 0.20/0.73 [60]~P4(x601,x603)+P3(x601,x602)+~P3(x603,x602)
% 0.20/0.73 [61]~P4(x613,x612)+P4(x611,x612)+~P4(x611,x613)
% 0.20/0.73 %EqnAxiom
% 0.20/0.73 [1]E(x11,x11)
% 0.20/0.73 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.73 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.20/0.73 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.20/0.73 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.20/0.73 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.20/0.73 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.20/0.73 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.20/0.73 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.20/0.73 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.20/0.73 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 0.20/0.73 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 0.20/0.73 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.20/0.73 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 0.20/0.73 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 0.20/0.73 [17]P3(x172,x173)+~E(x171,x172)+~P3(x171,x173)
% 0.20/0.73 [18]P3(x183,x182)+~E(x181,x182)+~P3(x183,x181)
% 0.20/0.73 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 0.20/0.73 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 0.20/0.73 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.20/0.73 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.20/0.73
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 cnf(75,plain,
% 0.20/0.73 (~P1(f6(x751,x752),f6(x752,x751))),
% 0.20/0.73 inference(scs_inference,[],[30,26,24,29,2,55,44,43,38])).
% 0.20/0.73 cnf(77,plain,
% 0.20/0.73 (~P3(f6(x771,x772),f6(x772,x771))),
% 0.20/0.73 inference(scs_inference,[],[30,26,24,29,2,55,44,43,38,37])).
% 0.20/0.73 cnf(83,plain,
% 0.20/0.73 (~E(f6(f6(x831,x832),x833),x831)),
% 0.20/0.73 inference(scs_inference,[],[30,26,24,29,2,55,44,43,38,37,50,49,40])).
% 0.20/0.73 cnf(85,plain,
% 0.20/0.73 (~E(x851,f6(x852,x851))),
% 0.20/0.73 inference(scs_inference,[],[30,26,24,29,2,55,44,43,38,37,50,49,40,39])).
% 0.20/0.73 cnf(93,plain,
% 0.20/0.73 (~P1(x931,f6(x931,x932))),
% 0.20/0.73 inference(scs_inference,[],[30,26,24,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63])).
% 0.20/0.73 cnf(95,plain,
% 0.20/0.73 (~E(f6(a9,a8),f6(a8,a7))),
% 0.20/0.73 inference(scs_inference,[],[30,26,24,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18])).
% 0.20/0.73 cnf(97,plain,
% 0.20/0.73 (E(f6(x971,x972),f6(x972,x971))),
% 0.20/0.73 inference(rename_variables,[],[24])).
% 0.20/0.73 cnf(99,plain,
% 0.20/0.73 (P1(f6(x991,x992),x991)),
% 0.20/0.73 inference(rename_variables,[],[25])).
% 0.20/0.73 cnf(101,plain,
% 0.20/0.73 (P1(f6(x1011,x1012),x1011)),
% 0.20/0.73 inference(rename_variables,[],[25])).
% 0.20/0.73 cnf(103,plain,
% 0.20/0.73 (~E(f6(x1031,x1032),x1032)),
% 0.20/0.73 inference(rename_variables,[],[33])).
% 0.20/0.73 cnf(104,plain,
% 0.20/0.73 (~P4(f6(a9,a8),a8)),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60])).
% 0.20/0.73 cnf(106,plain,
% 0.20/0.73 (~P4(f6(a9,a8),f6(a8,a7))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59])).
% 0.20/0.73 cnf(108,plain,
% 0.20/0.73 (~P3(f6(a9,a8),f6(a8,a7))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58])).
% 0.20/0.73 cnf(110,plain,
% 0.20/0.73 (E(a9,a7)),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58,41])).
% 0.20/0.73 cnf(114,plain,
% 0.20/0.73 (P4(f6(a7,a8),f6(a9,a8))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,101,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58,41,48,46])).
% 0.20/0.73 cnf(116,plain,
% 0.20/0.73 (P4(x1161,f6(x1161,x1162))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,101,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58,41,48,46,45])).
% 0.20/0.73 cnf(118,plain,
% 0.20/0.73 (P2(f6(x1181,x1182),f6(x1182,x1181))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,101,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58,41,48,46,45,35])).
% 0.20/0.73 cnf(120,plain,
% 0.20/0.73 (P4(f6(x1201,x1202),f6(x1202,x1201))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,101,33,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58,41,48,46,45,35,34])).
% 0.20/0.73 cnf(122,plain,
% 0.20/0.73 (E(f6(f10(f6(x1221,a1)),a1),f6(x1221,a1))),
% 0.20/0.73 inference(scs_inference,[],[30,26,25,99,101,33,103,24,97,29,2,55,44,43,38,37,50,49,40,39,66,65,57,63,18,17,16,15,3,60,59,58,41,48,46,45,35,34,36])).
% 0.20/0.73 cnf(179,plain,
% 0.20/0.73 (~P3(f6(x1791,x1792),f6(x1792,x1791))),
% 0.20/0.73 inference(rename_variables,[],[77])).
% 0.20/0.73 cnf(185,plain,
% 0.20/0.73 (~E(x1851,f6(x1852,x1851))),
% 0.20/0.73 inference(rename_variables,[],[85])).
% 0.20/0.73 cnf(205,plain,
% 0.20/0.73 (E(f6(f6(x2051,a1),x2052),f6(f6(x2051,x2052),a1))),
% 0.20/0.73 inference(rename_variables,[],[28])).
% 0.20/0.73 cnf(206,plain,
% 0.20/0.73 (P4(f6(x2061,x2062),f6(x2062,x2061))),
% 0.20/0.73 inference(rename_variables,[],[120])).
% 0.20/0.73 cnf(225,plain,
% 0.20/0.73 ($false),
% 0.20/0.73 inference(scs_inference,[],[30,28,205,32,25,33,26,24,75,77,179,118,120,206,85,185,93,116,83,108,106,114,122,95,110,104,47,46,45,44,38,37,49,39,57,54,58,41,64,66,55,43,35,50,65,63,62,21,20,16,3,61,60,59,52,51,2,40,5]),
% 0.20/0.73 ['proof']).
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time :0.050000s
%------------------------------------------------------------------------------