TSTP Solution File: SWC198-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC198-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n029.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 : Tue Aug 22 11:01:35 EDT 2023
% Result : Unsatisfiable 209.67s 190.92s
% Output : CNFRefutation 209.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 96
% Syntax : Number of formulae : 182 ( 41 unt; 74 typ; 0 def)
% Number of atoms : 232 ( 60 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 243 ( 119 ~; 124 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 66 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 8 con; 0-2 aty)
% Number of variables : 85 (; 85 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > skaf48 > skaf47 > skaf46 > skaf45 > skaf43 > skaf42 > cons > app > #nlpp > tl > skaf83 > skaf82 > skaf81 > skaf80 > skaf79 > skaf78 > skaf77 > skaf76 > skaf75 > skaf74 > skaf73 > skaf72 > skaf71 > skaf70 > skaf69 > skaf68 > skaf67 > skaf66 > skaf65 > skaf64 > skaf63 > skaf62 > skaf61 > skaf60 > skaf59 > skaf58 > skaf57 > skaf56 > skaf55 > skaf54 > skaf53 > skaf52 > skaf51 > skaf50 > skaf49 > skaf44 > sk5 > hd > skac3 > skac2 > sk6 > sk4 > sk3 > sk2 > sk1 > nil
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(skaf56,type,
skaf56: $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff(skaf74,type,
skaf74: $i > $i ).
tff(skaf61,type,
skaf61: $i > $i ).
tff(skaf51,type,
skaf51: $i > $i ).
tff(skaf83,type,
skaf83: $i > $i ).
tff(skac2,type,
skac2: $i ).
tff(skaf63,type,
skaf63: $i > $i ).
tff(skaf62,type,
skaf62: $i > $i ).
tff(sk2,type,
sk2: $i ).
tff(skaf52,type,
skaf52: $i > $i ).
tff(skaf50,type,
skaf50: $i > $i ).
tff(skaf42,type,
skaf42: ( $i * $i ) > $i ).
tff(skaf44,type,
skaf44: $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff(skaf67,type,
skaf67: $i > $i ).
tff(skaf75,type,
skaf75: $i > $i ).
tff(sk1,type,
sk1: $i ).
tff(skaf58,type,
skaf58: $i > $i ).
tff(skaf46,type,
skaf46: ( $i * $i ) > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff(skaf70,type,
skaf70: $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff(sk6,type,
sk6: $i ).
tff(skaf82,type,
skaf82: $i > $i ).
tff(skaf47,type,
skaf47: ( $i * $i ) > $i ).
tff(skaf76,type,
skaf76: $i > $i ).
tff(skac3,type,
skac3: $i ).
tff(skaf80,type,
skaf80: $i > $i ).
tff(skaf59,type,
skaf59: $i > $i ).
tff(skaf53,type,
skaf53: $i > $i ).
tff(skaf45,type,
skaf45: ( $i * $i ) > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff(sk5,type,
sk5: $i > $i ).
tff(skaf72,type,
skaf72: $i > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(skaf64,type,
skaf64: $i > $i ).
tff(sk4,type,
sk4: $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(skaf71,type,
skaf71: $i > $i ).
tff(skaf78,type,
skaf78: $i > $i ).
tff(skaf79,type,
skaf79: $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff(skaf73,type,
skaf73: $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(skaf54,type,
skaf54: $i > $i ).
tff(skaf77,type,
skaf77: $i > $i ).
tff(sk3,type,
sk3: $i ).
tff(skaf66,type,
skaf66: $i > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff(skaf81,type,
skaf81: $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(skaf60,type,
skaf60: $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(skaf69,type,
skaf69: $i > $i ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff(skaf43,type,
skaf43: ( $i * $i ) > $i ).
tff(skaf48,type,
skaf48: ( $i * $i ) > $i ).
tff(skaf65,type,
skaf65: $i > $i ).
tff(skaf57,type,
skaf57: $i > $i ).
tff(nil,type,
nil: $i ).
tff(skaf49,type,
skaf49: $i > $i ).
tff(skaf55,type,
skaf55: $i > $i ).
tff(skaf68,type,
skaf68: $i > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff(f_1655,axiom,
! [A] :
( ~ ssItem(A)
| ssItem(sk5(A)) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1669,axiom,
( ssItem(sk6)
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_56,axiom,
ssList(nil),
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_1675,axiom,
( ( cons(sk6,nil) = sk3 )
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_666,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( app(cons(U,nil),V) = cons(U,V) ) ),
file(unknown,unknown) ).
tff(f_342,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ssList(cons(U,V)) ),
file(unknown,unknown) ).
tff(f_240,axiom,
! [U,V] :
( ~ ssList(U)
| duplicatefreeP(U)
| ssItem(V) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
file(unknown,unknown) ).
tff(f_245,axiom,
! [U] :
( ~ ssList(U)
| ( app(U,nil) = U ) ),
file(unknown,unknown) ).
tff(f_1175,axiom,
! [U,V,W] :
( ~ ssItem(U)
| ~ ssList(V)
| ~ ssList(W)
| ( cons(U,app(V,W)) = app(cons(U,V),W) ) ),
file(unknown,unknown) ).
tff(f_1481,axiom,
! [W,U,X,Y,V] :
( ( app(app(U,cons(V,W)),cons(V,X)) != Y )
| ~ ssList(X)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| ~ duplicatefreeP(Y)
| ~ ssList(Y) ),
file(unknown,unknown) ).
tff(f_1660,axiom,
! [A] :
( ~ ssItem(A)
| memberP(sk1,sk5(A)) ),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U] :
( ~ memberP(nil,U)
| ~ ssItem(U) ),
file(unknown,unknown) ).
tff(f_1239,axiom,
! [U,V,W] :
( ~ memberP(cons(U,V),W)
| ~ ssList(V)
| ~ ssItem(U)
| ~ ssItem(W)
| memberP(V,W)
| ( W = U ) ),
file(unknown,unknown) ).
tff(f_1666,axiom,
! [A] :
( ~ ssItem(A)
| ( A != sk5(A) ) ),
file(unknown,unknown) ).
tff(f_1678,axiom,
( memberP(sk4,sk6)
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_1697,axiom,
( memberP(sk4,sk6)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(f_1672,axiom,
( ssItem(sk6)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [U] : ssItem(skaf69(U)),
file(unknown,unknown) ).
tff(c_384,plain,
! [A_327] :
( ssItem(sk5(A_327))
| ~ ssItem(A_327) ),
inference(cnfTransformation,[status(thm)],[f_1655]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_390,plain,
( ( sk4 = nil )
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1669]) ).
tff(c_410,plain,
( ( sk2 = nil )
| ssItem(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_390]) ).
tff(c_464,plain,
ssItem(sk6),
inference(splitLeft,[status(thm)],[c_410]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_382,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_417,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_394,plain,
( ( sk4 = nil )
| ( cons(sk6,nil) = sk3 ) ),
inference(cnfTransformation,[status(thm)],[f_1675]) ).
tff(c_407,plain,
( ( sk4 = nil )
| ( cons(sk6,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_394]) ).
tff(c_414,plain,
( ( sk2 = nil )
| ( cons(sk6,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_407]) ).
tff(c_578,plain,
cons(sk6,nil) = sk1,
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_3981,plain,
! [U_660,V_661] :
( ( app(cons(U_660,nil),V_661) = cons(U_660,V_661) )
| ~ ssList(V_661)
| ~ ssItem(U_660) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_3999,plain,
! [V_661] :
( ( cons(sk6,V_661) = app(sk1,V_661) )
| ~ ssList(V_661)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_578,c_3981]) ).
tff(c_14215,plain,
! [V_1281] :
( ( cons(sk6,V_1281) = app(sk1,V_1281) )
| ~ ssList(V_1281) ),
inference(demodulation,[status(thm),theory(equality)],[c_464,c_3999]) ).
tff(c_14346,plain,
cons(sk6,sk1) = app(sk1,sk1),
inference(resolution,[status(thm)],[c_417,c_14215]) ).
tff(c_1699,plain,
! [U_481,V_482] :
( ssList(cons(U_481,V_482))
| ~ ssList(V_482)
| ~ ssItem(U_481) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_144,plain,
! [V_67,U_66] :
( ssItem(V_67)
| duplicatefreeP(U_66)
| ~ ssList(U_66) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_616,plain,
! [U_66] :
( duplicatefreeP(U_66)
| ~ ssList(U_66) ),
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_1724,plain,
! [U_481,V_482] :
( duplicatefreeP(cons(U_481,V_482))
| ~ ssList(V_482)
| ~ ssItem(U_481) ),
inference(resolution,[status(thm)],[c_1699,c_616]) ).
tff(c_14719,plain,
( duplicatefreeP(app(sk1,sk1))
| ~ ssList(sk1)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_14346,c_1724]) ).
tff(c_14807,plain,
duplicatefreeP(app(sk1,sk1)),
inference(demodulation,[status(thm),theory(equality)],[c_464,c_417,c_14719]) ).
tff(c_884,plain,
! [U_430] :
( ( app(nil,U_430) = U_430 )
| ~ ssList(U_430) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_1003,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[c_417,c_884]) ).
tff(c_172,plain,
! [U_82,V_83] :
( ssList(cons(U_82,V_83))
| ~ ssList(V_83)
| ~ ssItem(U_82) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_14803,plain,
( ssList(app(sk1,sk1))
| ~ ssList(sk1)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_14346,c_172]) ).
tff(c_14865,plain,
ssList(app(sk1,sk1)),
inference(demodulation,[status(thm),theory(equality)],[c_464,c_417,c_14803]) ).
tff(c_760,plain,
! [U_426] :
( ( app(U_426,nil) = U_426 )
| ~ ssList(U_426) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_880,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_760]) ).
tff(c_7558,plain,
! [U_837,V_838,W_839] :
( ( cons(U_837,app(V_838,W_839)) = app(cons(U_837,V_838),W_839) )
| ~ ssList(W_839)
| ~ ssList(V_838)
| ~ ssItem(U_837) ),
inference(cnfTransformation,[status(thm)],[f_1175]) ).
tff(c_7750,plain,
! [U_837] :
( ( app(cons(U_837,nil),nil) = cons(U_837,nil) )
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssItem(U_837) ),
inference(superposition,[status(thm),theory(equality)],[c_880,c_7558]) ).
tff(c_7850,plain,
! [U_837] :
( ( app(cons(U_837,nil),nil) = cons(U_837,nil) )
| ~ ssItem(U_837) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_7750]) ).
tff(c_129919,plain,
! [U_4494,V_4495,W_4496] :
( ssList(app(cons(U_4494,V_4495),W_4496))
| ~ ssList(app(V_4495,W_4496))
| ~ ssItem(U_4494)
| ~ ssList(W_4496)
| ~ ssList(V_4495)
| ~ ssItem(U_4494) ),
inference(superposition,[status(thm),theory(equality)],[c_7558,c_172]) ).
tff(c_130320,plain,
! [U_837] :
( ssList(cons(U_837,nil))
| ~ ssList(app(nil,nil))
| ~ ssItem(U_837)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssItem(U_837)
| ~ ssItem(U_837) ),
inference(superposition,[status(thm),theory(equality)],[c_7850,c_129919]) ).
tff(c_131843,plain,
! [U_4499] :
( ssList(cons(U_4499,nil))
| ~ ssItem(U_4499) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_880,c_130320]) ).
tff(c_148,plain,
! [U_69] :
( ( app(nil,U_69) = U_69 )
| ~ ssList(U_69) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_229752,plain,
! [U_6657] :
( ( app(nil,cons(U_6657,nil)) = cons(U_6657,nil) )
| ~ ssItem(U_6657) ),
inference(resolution,[status(thm)],[c_131843,c_148]) ).
tff(c_10092,plain,
! [U_986,V_987,W_988,X_989] :
( ~ ssList(app(app(U_986,cons(V_987,W_988)),cons(V_987,X_989)))
| ~ duplicatefreeP(app(app(U_986,cons(V_987,W_988)),cons(V_987,X_989)))
| ~ ssItem(V_987)
| ~ ssList(U_986)
| ~ ssList(W_988)
| ~ ssList(X_989) ),
inference(cnfTransformation,[status(thm)],[f_1481]) ).
tff(c_10166,plain,
! [U_986,W_988] :
( ~ ssList(app(app(U_986,cons(sk6,W_988)),sk1))
| ~ duplicatefreeP(app(app(U_986,cons(sk6,W_988)),cons(sk6,nil)))
| ~ ssItem(sk6)
| ~ ssList(U_986)
| ~ ssList(W_988)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_578,c_10092]) ).
tff(c_10195,plain,
! [U_986,W_988] :
( ~ ssList(app(app(U_986,cons(sk6,W_988)),sk1))
| ~ duplicatefreeP(app(app(U_986,cons(sk6,W_988)),sk1))
| ~ ssList(U_986)
| ~ ssList(W_988) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_464,c_578,c_10166]) ).
tff(c_229835,plain,
( ~ ssList(app(cons(sk6,nil),sk1))
| ~ duplicatefreeP(app(app(nil,cons(sk6,nil)),sk1))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_229752,c_10195]) ).
tff(c_230062,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_16,c_16,c_14807,c_1003,c_578,c_14865,c_578,c_229835]) ).
tff(c_230063,plain,
! [V_67] : ssItem(V_67),
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_386,plain,
! [A_328] :
( memberP(sk1,sk5(A_328))
| ~ ssItem(A_328) ),
inference(cnfTransformation,[status(thm)],[f_1660]) ).
tff(c_230075,plain,
! [A_328] : memberP(sk1,sk5(A_328)),
inference(demodulation,[status(thm),theory(equality)],[c_230063,c_386]) ).
tff(c_142,plain,
! [U_65] :
( ~ ssItem(U_65)
| ~ memberP(nil,U_65) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_230089,plain,
! [U_65] : ~ memberP(nil,U_65),
inference(demodulation,[status(thm),theory(equality)],[c_230063,c_142]) ).
tff(c_322,plain,
! [W_242,U_240,V_241] :
( ( W_242 = U_240 )
| memberP(V_241,W_242)
| ~ ssItem(W_242)
| ~ ssItem(U_240)
| ~ ssList(V_241)
| ~ memberP(cons(U_240,V_241),W_242) ),
inference(cnfTransformation,[status(thm)],[f_1239]) ).
tff(c_237348,plain,
! [W_7176,U_7177,V_7178] :
( ( W_7176 = U_7177 )
| memberP(V_7178,W_7176)
| ~ ssList(V_7178)
| ~ memberP(cons(U_7177,V_7178),W_7176) ),
inference(demodulation,[status(thm),theory(equality)],[c_230063,c_230063,c_322]) ).
tff(c_237369,plain,
! [W_7176] :
( ( sk6 = W_7176 )
| memberP(nil,W_7176)
| ~ ssList(nil)
| ~ memberP(sk1,W_7176) ),
inference(superposition,[status(thm),theory(equality)],[c_578,c_237348]) ).
tff(c_237379,plain,
! [W_7176] :
( ( sk6 = W_7176 )
| memberP(nil,W_7176)
| ~ memberP(sk1,W_7176) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_237369]) ).
tff(c_237381,plain,
! [W_7179] :
( ( sk6 = W_7179 )
| ~ memberP(sk1,W_7179) ),
inference(negUnitSimplification,[status(thm)],[c_230089,c_237379]) ).
tff(c_237390,plain,
! [A_328] : ( sk5(A_328) = sk6 ),
inference(resolution,[status(thm)],[c_230075,c_237381]) ).
tff(c_388,plain,
! [A_329] :
( ( sk5(A_329) != A_329 )
| ~ ssItem(A_329) ),
inference(cnfTransformation,[status(thm)],[f_1666]) ).
tff(c_230087,plain,
! [A_329] : ( sk5(A_329) != A_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_230063,c_388]) ).
tff(c_237392,plain,
! [A_329] : ( sk6 != A_329 ),
inference(demodulation,[status(thm),theory(equality)],[c_237390,c_230087]) ).
tff(c_237405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_237392,c_237390]) ).
tff(c_237406,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_396,plain,
( ( sk4 = nil )
| memberP(sk4,sk6) ),
inference(cnfTransformation,[status(thm)],[f_1678]) ).
tff(c_411,plain,
( ( sk2 = nil )
| memberP(sk2,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_396]) ).
tff(c_476,plain,
memberP(sk2,sk6),
inference(splitLeft,[status(thm)],[c_411]) ).
tff(c_237409,plain,
memberP(nil,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_237406,c_476]) ).
tff(c_237423,plain,
~ ssItem(sk6),
inference(resolution,[status(thm)],[c_237409,c_142]) ).
tff(c_237427,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_237423]) ).
tff(c_237428,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_411]) ).
tff(c_237429,plain,
~ memberP(sk2,sk6),
inference(splitRight,[status(thm)],[c_411]) ).
tff(c_237441,plain,
~ memberP(nil,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_237428,c_237429]) ).
tff(c_402,plain,
( ( sk3 = nil )
| memberP(sk4,sk6) ),
inference(cnfTransformation,[status(thm)],[f_1697]) ).
tff(c_406,plain,
( ( sk1 = nil )
| memberP(sk4,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_402]) ).
tff(c_413,plain,
( ( sk1 = nil )
| memberP(sk2,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_406]) ).
tff(c_237526,plain,
( ( sk1 = nil )
| memberP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_237428,c_413]) ).
tff(c_237527,plain,
sk1 = nil,
inference(negUnitSimplification,[status(thm)],[c_237441,c_237526]) ).
tff(c_237550,plain,
! [A_7200] :
( memberP(nil,sk5(A_7200))
| ~ ssItem(A_7200) ),
inference(demodulation,[status(thm),theory(equality)],[c_237527,c_386]) ).
tff(c_237681,plain,
! [A_7211] :
( ~ ssItem(sk5(A_7211))
| ~ ssItem(A_7211) ),
inference(resolution,[status(thm)],[c_237550,c_142]) ).
tff(c_237685,plain,
! [A_327] : ~ ssItem(A_327),
inference(resolution,[status(thm)],[c_384,c_237681]) ).
tff(c_237705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_237685,c_464]) ).
tff(c_237707,plain,
~ ssItem(sk6),
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_392,plain,
( ( sk3 = nil )
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1672]) ).
tff(c_405,plain,
( ( sk1 = nil )
| ssItem(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_392]) ).
tff(c_237725,plain,
sk1 = nil,
inference(negUnitSimplification,[status(thm)],[c_237707,c_405]) ).
tff(c_237829,plain,
! [A_7241] :
( memberP(nil,sk5(A_7241))
| ~ ssItem(A_7241) ),
inference(demodulation,[status(thm),theory(equality)],[c_237725,c_386]) ).
tff(c_237835,plain,
! [A_7243] :
( ~ ssItem(sk5(A_7243))
| ~ ssItem(A_7243) ),
inference(resolution,[status(thm)],[c_237829,c_142]) ).
tff(c_237839,plain,
! [A_327] : ~ ssItem(A_327),
inference(resolution,[status(thm)],[c_384,c_237835]) ).
tff(c_52,plain,
! [U_15] : ssItem(skaf69(U_15)),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_237858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_237839,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC198-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n029.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 : Thu Aug 3 21:57:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 209.67/190.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 209.67/190.94
% 209.67/190.94 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 209.88/190.98
% 209.88/190.98 Inference rules
% 209.88/190.98 ----------------------
% 209.88/190.98 #Ref : 32
% 209.88/190.98 #Sup : 56628
% 209.88/190.98 #Fact : 0
% 209.88/190.98 #Define : 0
% 209.88/190.98 #Split : 36
% 209.88/190.98 #Chain : 0
% 209.88/190.98 #Close : 0
% 209.88/190.98
% 209.88/190.98 Ordering : KBO
% 209.88/190.98
% 209.88/190.98 Simplification rules
% 209.88/190.98 ----------------------
% 209.88/190.98 #Subsume : 13015
% 209.88/190.98 #Demod : 60931
% 209.88/190.98 #Tautology : 8349
% 209.88/190.98 #SimpNegUnit : 4988
% 209.88/190.98 #BackRed : 133
% 209.88/190.98
% 209.88/190.98 #Partial instantiations: 0
% 209.88/190.98 #Strategies tried : 1
% 209.88/190.98
% 209.88/190.98 Timing (in seconds)
% 209.88/190.98 ----------------------
% 209.88/190.98 Preprocessing : 0.88
% 209.88/190.98 Parsing : 0.46
% 209.88/190.98 CNF conversion : 0.07
% 209.88/190.98 Main loop : 189.02
% 209.88/190.98 Inferencing : 20.33
% 209.88/190.98 Reduction : 96.40
% 209.88/190.98 Demodulation : 72.96
% 209.88/190.98 BG Simplification : 0.44
% 209.88/190.98 Subsumption : 57.56
% 209.88/190.98 Abstraction : 1.10
% 209.88/190.98 MUC search : 0.00
% 209.88/190.98 Cooper : 0.00
% 209.88/190.98 Total : 189.97
% 209.88/190.98 Index Insertion : 0.00
% 209.88/190.98 Index Deletion : 0.00
% 209.88/190.98 Index Matching : 0.00
% 209.88/190.98 BG Taut test : 0.00
%------------------------------------------------------------------------------