TSTP Solution File: SWC412-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC412-1 : 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 : n028.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 11:02:33 EDT 2023
% Result : Unsatisfiable 33.90s 18.59s
% Output : CNFRefutation 33.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 118
% Syntax : Number of formulae : 264 ( 64 unt; 81 typ; 0 def)
% Number of atoms : 530 ( 159 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 677 ( 330 ~; 347 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 16 con; 0-2 aty)
% Number of variables : 198 (; 198 !; 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 > hd > skac3 > skac2 > sk9 > sk8 > sk7 > sk6 > sk5 > sk4 > sk3 > sk2 > sk13 > sk12 > sk11 > sk10 > 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(sk9,type,
sk9: $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(sk12,type,
sk12: $i ).
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(skaf72,type,
skaf72: $i > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(skaf64,type,
skaf64: $i > $i ).
tff(sk4,type,
sk4: $i ).
tff(sk8,type,
sk8: $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(skaf71,type,
skaf71: $i > $i ).
tff(skaf78,type,
skaf78: $i > $i ).
tff(sk5,type,
sk5: $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(sk10,type,
sk10: $i ).
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(sk7,type,
sk7: $i ).
tff(nil,type,
nil: $i ).
tff(skaf49,type,
skaf49: $i > $i ).
tff(sk11,type,
sk11: $i ).
tff(skaf55,type,
skaf55: $i > $i ).
tff(skaf68,type,
skaf68: $i > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff(sk13,type,
sk13: $i ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff(f_1953,axiom,
( ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 )
| ssItem(sk11) ),
file(unknown,unknown) ).
tff(f_1876,axiom,
( ssItem(sk5)
| ssList(sk10) ),
file(unknown,unknown) ).
tff(f_1934,axiom,
( ssItem(sk6)
| ssItem(sk11) ),
file(unknown,unknown) ).
tff(f_1959,axiom,
( ssList(sk7)
| ssList(sk13) ),
file(unknown,unknown) ).
tff(f_1969,axiom,
( ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 )
| ssItem(sk12) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1803,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ),
file(unknown,unknown) ).
tff(f_1746,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ssItem(sk11) ),
file(unknown,unknown) ).
tff(f_1760,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ssItem(sk12) ),
file(unknown,unknown) ).
tff(f_1774,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ssList(sk13) ),
file(unknown,unknown) ).
tff(f_1788,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ) ),
file(unknown,unknown) ).
tff(f_1690,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ssItem(sk8) ),
file(unknown,unknown) ).
tff(f_1704,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ssItem(sk9) ),
file(unknown,unknown) ).
tff(f_1718,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ssList(sk10) ),
file(unknown,unknown) ).
tff(f_1732,axiom,
! [A,B,C] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ) ),
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1676,axiom,
! [A,F,B,C,E,D] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(A,nil),cons(B,nil)),C) != sk4 )
| ~ ssItem(D)
| ~ ssItem(E)
| ~ ssList(F)
| ( app(app(cons(E,nil),F),cons(D,nil)) = sk3 )
| ( app(app(cons(D,nil),F),cons(E,nil)) != sk4 ) ),
file(unknown,unknown) ).
tff(f_1979,axiom,
( ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 )
| ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ),
file(unknown,unknown) ).
tff(f_1972,axiom,
( ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 )
| ssList(sk13) ),
file(unknown,unknown) ).
tff(f_1975,axiom,
( ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 )
| ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ) ),
file(unknown,unknown) ).
tff(f_1867,axiom,
! [A,B,C] :
( ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 )
| ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(B,nil),C),cons(A,nil)) = sk3 )
| ( app(app(cons(A,nil),C),cons(B,nil)) != sk4 ) ),
file(unknown,unknown) ).
tff(f_1947,axiom,
( ssItem(sk6)
| ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ),
file(unknown,unknown) ).
tff(f_1937,axiom,
( ssItem(sk6)
| ssItem(sk12) ),
file(unknown,unknown) ).
tff(f_1940,axiom,
( ssItem(sk6)
| ssList(sk13) ),
file(unknown,unknown) ).
tff(f_1943,axiom,
( ssItem(sk6)
| ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ) ),
file(unknown,unknown) ).
tff(f_1835,axiom,
! [A,B,C] :
( ssItem(sk6)
| ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(B,nil),C),cons(A,nil)) = sk3 )
| ( app(app(cons(A,nil),C),cons(B,nil)) != sk4 ) ),
file(unknown,unknown) ).
tff(f_1895,axiom,
( ssItem(sk5)
| ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ),
file(unknown,unknown) ).
tff(f_1882,axiom,
( ssItem(sk5)
| ssItem(sk11) ),
file(unknown,unknown) ).
tff(f_1885,axiom,
( ssItem(sk5)
| ssItem(sk12) ),
file(unknown,unknown) ).
tff(f_1888,axiom,
( ssItem(sk5)
| ssList(sk13) ),
file(unknown,unknown) ).
tff(f_1891,axiom,
( ssItem(sk5)
| ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ) ),
file(unknown,unknown) ).
tff(f_1819,axiom,
! [A,B,C] :
( ssItem(sk5)
| ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(B,nil),C),cons(A,nil)) = sk3 )
| ( app(app(cons(A,nil),C),cons(B,nil)) != sk4 ) ),
file(unknown,unknown) ).
tff(f_1966,axiom,
( ssList(sk7)
| ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 ) ),
file(unknown,unknown) ).
tff(f_1950,axiom,
( ssList(sk7)
| ssItem(sk11) ),
file(unknown,unknown) ).
tff(f_1956,axiom,
( ssList(sk7)
| ssItem(sk12) ),
file(unknown,unknown) ).
tff(f_1962,axiom,
( ssList(sk7)
| ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ) ),
file(unknown,unknown) ).
tff(f_1851,axiom,
! [A,B,C] :
( ssList(sk7)
| ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ( app(app(cons(B,nil),C),cons(A,nil)) = sk3 )
| ( app(app(cons(A,nil),C),cons(B,nil)) != sk4 ) ),
file(unknown,unknown) ).
tff(c_466,plain,
( ssItem(sk11)
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(cnfTransformation,[status(thm)],[f_1953]) ).
tff(c_14128,plain,
app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2,
inference(splitLeft,[status(thm)],[c_466]) ).
tff(c_416,plain,
( ssList(sk10)
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1876]) ).
tff(c_551,plain,
ssItem(sk5),
inference(splitLeft,[status(thm)],[c_416]) ).
tff(c_454,plain,
( ssItem(sk11)
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1934]) ).
tff(c_552,plain,
ssItem(sk6),
inference(splitLeft,[status(thm)],[c_454]) ).
tff(c_470,plain,
( ssList(sk13)
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1959]) ).
tff(c_550,plain,
ssList(sk7),
inference(splitLeft,[status(thm)],[c_470]) ).
tff(c_476,plain,
( ssItem(sk12)
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(cnfTransformation,[status(thm)],[f_1969]) ).
tff(c_3301,plain,
app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2,
inference(splitLeft,[status(thm)],[c_476]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_402,plain,
! [A_357,B_358,C_359] :
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 )
| ( app(app(cons(A_357,nil),cons(B_358,nil)),C_359) != sk4 )
| ~ ssList(C_359)
| ~ ssItem(B_358)
| ~ ssItem(A_357) ),
inference(cnfTransformation,[status(thm)],[f_1803]) ).
tff(c_489,plain,
! [A_357,B_358,C_359] :
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 )
| ( app(app(cons(A_357,nil),cons(B_358,nil)),C_359) != sk2 )
| ~ ssList(C_359)
| ~ ssItem(B_358)
| ~ ssItem(A_357) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_402]) ).
tff(c_12031,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1,
inference(splitLeft,[status(thm)],[c_489]) ).
tff(c_394,plain,
! [A_345,B_346,C_347] :
( ssItem(sk11)
| ( app(app(cons(A_345,nil),cons(B_346,nil)),C_347) != sk4 )
| ~ ssList(C_347)
| ~ ssItem(B_346)
| ~ ssItem(A_345) ),
inference(cnfTransformation,[status(thm)],[f_1746]) ).
tff(c_493,plain,
! [A_345,B_346,C_347] :
( ssItem(sk11)
| ( app(app(cons(A_345,nil),cons(B_346,nil)),C_347) != sk2 )
| ~ ssList(C_347)
| ~ ssItem(B_346)
| ~ ssItem(A_345) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_394]) ).
tff(c_11320,plain,
! [A_1065,B_1066,C_1067] :
( ( app(app(cons(A_1065,nil),cons(B_1066,nil)),C_1067) != sk2 )
| ~ ssList(C_1067)
| ~ ssItem(B_1066)
| ~ ssItem(A_1065) ),
inference(splitLeft,[status(thm)],[c_493]) ).
tff(c_11331,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_11320]) ).
tff(c_11347,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_11331]) ).
tff(c_11348,plain,
ssItem(sk11),
inference(splitRight,[status(thm)],[c_493]) ).
tff(c_396,plain,
! [A_348,B_349,C_350] :
( ssItem(sk12)
| ( app(app(cons(A_348,nil),cons(B_349,nil)),C_350) != sk4 )
| ~ ssList(C_350)
| ~ ssItem(B_349)
| ~ ssItem(A_348) ),
inference(cnfTransformation,[status(thm)],[f_1760]) ).
tff(c_492,plain,
! [A_348,B_349,C_350] :
( ssItem(sk12)
| ( app(app(cons(A_348,nil),cons(B_349,nil)),C_350) != sk2 )
| ~ ssList(C_350)
| ~ ssItem(B_349)
| ~ ssItem(A_348) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_396]) ).
tff(c_10005,plain,
! [A_1037,B_1038,C_1039] :
( ( app(app(cons(A_1037,nil),cons(B_1038,nil)),C_1039) != sk2 )
| ~ ssList(C_1039)
| ~ ssItem(B_1038)
| ~ ssItem(A_1037) ),
inference(splitLeft,[status(thm)],[c_492]) ).
tff(c_10016,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_10005]) ).
tff(c_10032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_10016]) ).
tff(c_10033,plain,
ssItem(sk12),
inference(splitRight,[status(thm)],[c_492]) ).
tff(c_398,plain,
! [A_351,B_352,C_353] :
( ssList(sk13)
| ( app(app(cons(A_351,nil),cons(B_352,nil)),C_353) != sk4 )
| ~ ssList(C_353)
| ~ ssItem(B_352)
| ~ ssItem(A_351) ),
inference(cnfTransformation,[status(thm)],[f_1774]) ).
tff(c_491,plain,
! [A_351,B_352,C_353] :
( ssList(sk13)
| ( app(app(cons(A_351,nil),cons(B_352,nil)),C_353) != sk2 )
| ~ ssList(C_353)
| ~ ssItem(B_352)
| ~ ssItem(A_351) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_398]) ).
tff(c_10575,plain,
! [A_1055,B_1056,C_1057] :
( ( app(app(cons(A_1055,nil),cons(B_1056,nil)),C_1057) != sk2 )
| ~ ssList(C_1057)
| ~ ssItem(B_1056)
| ~ ssItem(A_1055) ),
inference(splitLeft,[status(thm)],[c_491]) ).
tff(c_10586,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_10575]) ).
tff(c_10602,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_10586]) ).
tff(c_10603,plain,
ssList(sk13),
inference(splitRight,[status(thm)],[c_491]) ).
tff(c_400,plain,
! [A_354,B_355,C_356] :
( ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 )
| ( app(app(cons(A_354,nil),cons(B_355,nil)),C_356) != sk4 )
| ~ ssList(C_356)
| ~ ssItem(B_355)
| ~ ssItem(A_354) ),
inference(cnfTransformation,[status(thm)],[f_1788]) ).
tff(c_490,plain,
! [A_354,B_355,C_356] :
( ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 )
| ( app(app(cons(A_354,nil),cons(B_355,nil)),C_356) != sk2 )
| ~ ssList(C_356)
| ~ ssItem(B_355)
| ~ ssItem(A_354) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_400]) ).
tff(c_12487,plain,
! [A_1110,B_1111,C_1112] :
( ( app(app(cons(A_1110,nil),cons(B_1111,nil)),C_1112) != sk2 )
| ~ ssList(C_1112)
| ~ ssItem(B_1111)
| ~ ssItem(A_1110) ),
inference(splitLeft,[status(thm)],[c_490]) ).
tff(c_12498,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_12487]) ).
tff(c_12514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_12498]) ).
tff(c_12515,plain,
app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2,
inference(splitRight,[status(thm)],[c_490]) ).
tff(c_386,plain,
! [A_333,B_334,C_335] :
( ssItem(sk8)
| ( app(app(cons(A_333,nil),cons(B_334,nil)),C_335) != sk4 )
| ~ ssList(C_335)
| ~ ssItem(B_334)
| ~ ssItem(A_333) ),
inference(cnfTransformation,[status(thm)],[f_1690]) ).
tff(c_496,plain,
! [A_333,B_334,C_335] :
( ssItem(sk8)
| ( app(app(cons(A_333,nil),cons(B_334,nil)),C_335) != sk2 )
| ~ ssList(C_335)
| ~ ssItem(B_334)
| ~ ssItem(A_333) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_386]) ).
tff(c_9819,plain,
! [A_1024,B_1025,C_1026] :
( ( app(app(cons(A_1024,nil),cons(B_1025,nil)),C_1026) != sk2 )
| ~ ssList(C_1026)
| ~ ssItem(B_1025)
| ~ ssItem(A_1024) ),
inference(splitLeft,[status(thm)],[c_496]) ).
tff(c_9830,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_9819]) ).
tff(c_9846,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_9830]) ).
tff(c_9847,plain,
ssItem(sk8),
inference(splitRight,[status(thm)],[c_496]) ).
tff(c_388,plain,
! [A_336,B_337,C_338] :
( ssItem(sk9)
| ( app(app(cons(A_336,nil),cons(B_337,nil)),C_338) != sk4 )
| ~ ssList(C_338)
| ~ ssItem(B_337)
| ~ ssItem(A_336) ),
inference(cnfTransformation,[status(thm)],[f_1704]) ).
tff(c_488,plain,
! [A_336,B_337,C_338] :
( ssItem(sk9)
| ( app(app(cons(A_336,nil),cons(B_337,nil)),C_338) != sk2 )
| ~ ssList(C_338)
| ~ ssItem(B_337)
| ~ ssItem(A_336) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_388]) ).
tff(c_10898,plain,
! [A_1059,B_1060,C_1061] :
( ( app(app(cons(A_1059,nil),cons(B_1060,nil)),C_1061) != sk2 )
| ~ ssList(C_1061)
| ~ ssItem(B_1060)
| ~ ssItem(A_1059) ),
inference(splitLeft,[status(thm)],[c_488]) ).
tff(c_10909,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_10898]) ).
tff(c_10925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_10909]) ).
tff(c_10926,plain,
ssItem(sk9),
inference(splitRight,[status(thm)],[c_488]) ).
tff(c_390,plain,
! [A_339,B_340,C_341] :
( ssList(sk10)
| ( app(app(cons(A_339,nil),cons(B_340,nil)),C_341) != sk4 )
| ~ ssList(C_341)
| ~ ssItem(B_340)
| ~ ssItem(A_339) ),
inference(cnfTransformation,[status(thm)],[f_1718]) ).
tff(c_495,plain,
! [A_339,B_340,C_341] :
( ssList(sk10)
| ( app(app(cons(A_339,nil),cons(B_340,nil)),C_341) != sk2 )
| ~ ssList(C_341)
| ~ ssItem(B_340)
| ~ ssItem(A_339) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_390]) ).
tff(c_10191,plain,
! [A_1050,B_1051,C_1052] :
( ( app(app(cons(A_1050,nil),cons(B_1051,nil)),C_1052) != sk2 )
| ~ ssList(C_1052)
| ~ ssItem(B_1051)
| ~ ssItem(A_1050) ),
inference(splitLeft,[status(thm)],[c_495]) ).
tff(c_10202,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_10191]) ).
tff(c_10218,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_10202]) ).
tff(c_10219,plain,
ssList(sk10),
inference(splitRight,[status(thm)],[c_495]) ).
tff(c_392,plain,
! [A_342,B_343,C_344] :
( ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 )
| ( app(app(cons(A_342,nil),cons(B_343,nil)),C_344) != sk4 )
| ~ ssList(C_344)
| ~ ssItem(B_343)
| ~ ssItem(A_342) ),
inference(cnfTransformation,[status(thm)],[f_1732]) ).
tff(c_494,plain,
! [A_342,B_343,C_344] :
( ( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 )
| ( app(app(cons(A_342,nil),cons(B_343,nil)),C_344) != sk2 )
| ~ ssList(C_344)
| ~ ssItem(B_343)
| ~ ssItem(A_342) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_392]) ).
tff(c_13090,plain,
! [A_1144,B_1145,C_1146] :
( ( app(app(cons(A_1144,nil),cons(B_1145,nil)),C_1146) != sk2 )
| ~ ssList(C_1146)
| ~ ssItem(B_1145)
| ~ ssItem(A_1144) ),
inference(splitLeft,[status(thm)],[c_494]) ).
tff(c_13101,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_13090]) ).
tff(c_13117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_13101]) ).
tff(c_13118,plain,
app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2,
inference(splitRight,[status(thm)],[c_494]) ).
tff(c_382,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_384,plain,
! [D_332,E_331,C_330,B_329,F_328,A_327] :
( ( app(app(cons(D_332,nil),F_328),cons(E_331,nil)) != sk4 )
| ( app(app(cons(E_331,nil),F_328),cons(D_332,nil)) = sk3 )
| ~ ssList(F_328)
| ~ ssItem(E_331)
| ~ ssItem(D_332)
| ( app(app(cons(A_327,nil),cons(B_329,nil)),C_330) != sk4 )
| ~ ssList(C_330)
| ~ ssItem(B_329)
| ~ ssItem(A_327) ),
inference(cnfTransformation,[status(thm)],[f_1676]) ).
tff(c_487,plain,
! [D_332,E_331,C_330,B_329,F_328,A_327] :
( ( app(app(cons(D_332,nil),F_328),cons(E_331,nil)) != sk4 )
| ( app(app(cons(E_331,nil),F_328),cons(D_332,nil)) = sk1 )
| ~ ssList(F_328)
| ~ ssItem(E_331)
| ~ ssItem(D_332)
| ( app(app(cons(A_327,nil),cons(B_329,nil)),C_330) != sk4 )
| ~ ssList(C_330)
| ~ ssItem(B_329)
| ~ ssItem(A_327) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_384]) ).
tff(c_501,plain,
! [D_332,E_331,C_330,B_329,F_328,A_327] :
( ( app(app(cons(D_332,nil),F_328),cons(E_331,nil)) != sk2 )
| ( app(app(cons(E_331,nil),F_328),cons(D_332,nil)) = sk1 )
| ~ ssList(F_328)
| ~ ssItem(E_331)
| ~ ssItem(D_332)
| ( app(app(cons(A_327,nil),cons(B_329,nil)),C_330) != sk2 )
| ~ ssList(C_330)
| ~ ssItem(B_329)
| ~ ssItem(A_327) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_487]) ).
tff(c_13702,plain,
! [A_1199,B_1200,C_1201] :
( ( app(app(cons(A_1199,nil),cons(B_1200,nil)),C_1201) != sk2 )
| ~ ssList(C_1201)
| ~ ssItem(B_1200)
| ~ ssItem(A_1199) ),
inference(splitLeft,[status(thm)],[c_501]) ).
tff(c_13705,plain,
( ~ ssList(sk10)
| ~ ssItem(sk9)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_13118,c_13702]) ).
tff(c_13730,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9847,c_10926,c_10219,c_13705]) ).
tff(c_13741,plain,
! [D_1210,F_1211,E_1212] :
( ( app(app(cons(D_1210,nil),F_1211),cons(E_1212,nil)) != sk2 )
| ( app(app(cons(E_1212,nil),F_1211),cons(D_1210,nil)) = sk1 )
| ~ ssList(F_1211)
| ~ ssItem(E_1212)
| ~ ssItem(D_1210) ),
inference(splitRight,[status(thm)],[c_501]) ).
tff(c_13743,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1 )
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ ssItem(sk11) ),
inference(superposition,[status(thm),theory(equality)],[c_12515,c_13741]) ).
tff(c_13758,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_11348,c_10033,c_10603,c_13743]) ).
tff(c_13760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12031,c_13758]) ).
tff(c_14078,plain,
! [A_1235,B_1236,C_1237] :
( ( app(app(cons(A_1235,nil),cons(B_1236,nil)),C_1237) != sk2 )
| ~ ssList(C_1237)
| ~ ssItem(B_1236)
| ~ ssItem(A_1235) ),
inference(splitRight,[status(thm)],[c_489]) ).
tff(c_14089,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_3301,c_14078]) ).
tff(c_14105,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_552,c_550,c_14089]) ).
tff(c_14107,plain,
app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2,
inference(splitRight,[status(thm)],[c_476]) ).
tff(c_14194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14128,c_14107]) ).
tff(c_14196,plain,
app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2,
inference(splitRight,[status(thm)],[c_466]) ).
tff(c_482,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 )
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(cnfTransformation,[status(thm)],[f_1979]) ).
tff(c_21753,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1,
inference(negUnitSimplification,[status(thm)],[c_14196,c_482]) ).
tff(c_14195,plain,
ssItem(sk11),
inference(splitRight,[status(thm)],[c_466]) ).
tff(c_14106,plain,
ssItem(sk12),
inference(splitRight,[status(thm)],[c_476]) ).
tff(c_478,plain,
( ssList(sk13)
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(cnfTransformation,[status(thm)],[f_1972]) ).
tff(c_14467,plain,
ssList(sk13),
inference(negUnitSimplification,[status(thm)],[c_14196,c_478]) ).
tff(c_480,plain,
( ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 )
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(cnfTransformation,[status(thm)],[f_1975]) ).
tff(c_21668,plain,
app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2,
inference(negUnitSimplification,[status(thm)],[c_14196,c_480]) ).
tff(c_410,plain,
! [A_369,C_371,B_370] :
( ( app(app(cons(A_369,nil),C_371),cons(B_370,nil)) != sk4 )
| ( app(app(cons(B_370,nil),C_371),cons(A_369,nil)) = sk3 )
| ~ ssList(C_371)
| ~ ssItem(B_370)
| ~ ssItem(A_369)
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(cnfTransformation,[status(thm)],[f_1867]) ).
tff(c_483,plain,
! [A_369,C_371,B_370] :
( ( app(app(cons(A_369,nil),C_371),cons(B_370,nil)) != sk4 )
| ( app(app(cons(B_370,nil),C_371),cons(A_369,nil)) = sk1 )
| ~ ssList(C_371)
| ~ ssItem(B_370)
| ~ ssItem(A_369)
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_410]) ).
tff(c_497,plain,
! [A_369,C_371,B_370] :
( ( app(app(cons(A_369,nil),C_371),cons(B_370,nil)) != sk2 )
| ( app(app(cons(B_370,nil),C_371),cons(A_369,nil)) = sk1 )
| ~ ssList(C_371)
| ~ ssItem(B_370)
| ~ ssItem(A_369)
| ( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_483]) ).
tff(c_22838,plain,
! [A_1665,C_1666,B_1667] :
( ( app(app(cons(A_1665,nil),C_1666),cons(B_1667,nil)) != sk2 )
| ( app(app(cons(B_1667,nil),C_1666),cons(A_1665,nil)) = sk1 )
| ~ ssList(C_1666)
| ~ ssItem(B_1667)
| ~ ssItem(A_1665) ),
inference(negUnitSimplification,[status(thm)],[c_14196,c_497]) ).
tff(c_22840,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1 )
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ ssItem(sk11) ),
inference(superposition,[status(thm),theory(equality)],[c_21668,c_22838]) ).
tff(c_22855,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_14195,c_14106,c_14467,c_22840]) ).
tff(c_22857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21753,c_22855]) ).
tff(c_22859,plain,
~ ssItem(sk6),
inference(splitRight,[status(thm)],[c_454]) ).
tff(c_462,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 )
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1947]) ).
tff(c_26045,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1,
inference(negUnitSimplification,[status(thm)],[c_22859,c_462]) ).
tff(c_22858,plain,
ssItem(sk11),
inference(splitRight,[status(thm)],[c_454]) ).
tff(c_456,plain,
( ssItem(sk12)
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1937]) ).
tff(c_22868,plain,
ssItem(sk12),
inference(negUnitSimplification,[status(thm)],[c_22859,c_456]) ).
tff(c_458,plain,
( ssList(sk13)
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1940]) ).
tff(c_22865,plain,
ssList(sk13),
inference(negUnitSimplification,[status(thm)],[c_22859,c_458]) ).
tff(c_460,plain,
( ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 )
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1943]) ).
tff(c_26027,plain,
app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2,
inference(negUnitSimplification,[status(thm)],[c_22859,c_460]) ).
tff(c_406,plain,
! [A_363,C_365,B_364] :
( ( app(app(cons(A_363,nil),C_365),cons(B_364,nil)) != sk4 )
| ( app(app(cons(B_364,nil),C_365),cons(A_363,nil)) = sk3 )
| ~ ssList(C_365)
| ~ ssItem(B_364)
| ~ ssItem(A_363)
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1835]) ).
tff(c_485,plain,
! [A_363,C_365,B_364] :
( ( app(app(cons(A_363,nil),C_365),cons(B_364,nil)) != sk4 )
| ( app(app(cons(B_364,nil),C_365),cons(A_363,nil)) = sk1 )
| ~ ssList(C_365)
| ~ ssItem(B_364)
| ~ ssItem(A_363)
| ssItem(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_406]) ).
tff(c_499,plain,
! [A_363,C_365,B_364] :
( ( app(app(cons(A_363,nil),C_365),cons(B_364,nil)) != sk2 )
| ( app(app(cons(B_364,nil),C_365),cons(A_363,nil)) = sk1 )
| ~ ssList(C_365)
| ~ ssItem(B_364)
| ~ ssItem(A_363)
| ssItem(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_485]) ).
tff(c_33676,plain,
! [A_2290,C_2291,B_2292] :
( ( app(app(cons(A_2290,nil),C_2291),cons(B_2292,nil)) != sk2 )
| ( app(app(cons(B_2292,nil),C_2291),cons(A_2290,nil)) = sk1 )
| ~ ssList(C_2291)
| ~ ssItem(B_2292)
| ~ ssItem(A_2290) ),
inference(negUnitSimplification,[status(thm)],[c_22859,c_499]) ).
tff(c_33684,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1 )
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ ssItem(sk11) ),
inference(superposition,[status(thm),theory(equality)],[c_26027,c_33676]) ).
tff(c_33695,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_22858,c_22868,c_22865,c_33684]) ).
tff(c_33697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26045,c_33695]) ).
tff(c_33699,plain,
~ ssItem(sk5),
inference(splitRight,[status(thm)],[c_416]) ).
tff(c_428,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 )
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1895]) ).
tff(c_36419,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1,
inference(negUnitSimplification,[status(thm)],[c_33699,c_428]) ).
tff(c_420,plain,
( ssItem(sk11)
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1882]) ).
tff(c_33701,plain,
ssItem(sk11),
inference(negUnitSimplification,[status(thm)],[c_33699,c_420]) ).
tff(c_422,plain,
( ssItem(sk12)
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1885]) ).
tff(c_33702,plain,
ssItem(sk12),
inference(negUnitSimplification,[status(thm)],[c_33699,c_422]) ).
tff(c_424,plain,
( ssList(sk13)
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1888]) ).
tff(c_33709,plain,
ssList(sk13),
inference(negUnitSimplification,[status(thm)],[c_33699,c_424]) ).
tff(c_426,plain,
( ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 )
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1891]) ).
tff(c_36867,plain,
app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2,
inference(negUnitSimplification,[status(thm)],[c_33699,c_426]) ).
tff(c_404,plain,
! [A_360,C_362,B_361] :
( ( app(app(cons(A_360,nil),C_362),cons(B_361,nil)) != sk4 )
| ( app(app(cons(B_361,nil),C_362),cons(A_360,nil)) = sk3 )
| ~ ssList(C_362)
| ~ ssItem(B_361)
| ~ ssItem(A_360)
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1819]) ).
tff(c_486,plain,
! [A_360,C_362,B_361] :
( ( app(app(cons(A_360,nil),C_362),cons(B_361,nil)) != sk4 )
| ( app(app(cons(B_361,nil),C_362),cons(A_360,nil)) = sk1 )
| ~ ssList(C_362)
| ~ ssItem(B_361)
| ~ ssItem(A_360)
| ssItem(sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_404]) ).
tff(c_500,plain,
! [A_360,C_362,B_361] :
( ( app(app(cons(A_360,nil),C_362),cons(B_361,nil)) != sk2 )
| ( app(app(cons(B_361,nil),C_362),cons(A_360,nil)) = sk1 )
| ~ ssList(C_362)
| ~ ssItem(B_361)
| ~ ssItem(A_360)
| ssItem(sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_486]) ).
tff(c_44505,plain,
! [A_2902,C_2903,B_2904] :
( ( app(app(cons(A_2902,nil),C_2903),cons(B_2904,nil)) != sk2 )
| ( app(app(cons(B_2904,nil),C_2903),cons(A_2902,nil)) = sk1 )
| ~ ssList(C_2903)
| ~ ssItem(B_2904)
| ~ ssItem(A_2902) ),
inference(negUnitSimplification,[status(thm)],[c_33699,c_500]) ).
tff(c_44515,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1 )
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ ssItem(sk11) ),
inference(superposition,[status(thm),theory(equality)],[c_36867,c_44505]) ).
tff(c_44524,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_33701,c_33702,c_33709,c_44515]) ).
tff(c_44526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36419,c_44524]) ).
tff(c_44528,plain,
~ ssList(sk7),
inference(splitRight,[status(thm)],[c_470]) ).
tff(c_474,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1 )
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1966]) ).
tff(c_47302,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1,
inference(negUnitSimplification,[status(thm)],[c_44528,c_474]) ).
tff(c_464,plain,
( ssItem(sk11)
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1950]) ).
tff(c_44546,plain,
ssItem(sk11),
inference(negUnitSimplification,[status(thm)],[c_44528,c_464]) ).
tff(c_468,plain,
( ssItem(sk12)
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1956]) ).
tff(c_44544,plain,
ssItem(sk12),
inference(negUnitSimplification,[status(thm)],[c_44528,c_468]) ).
tff(c_44527,plain,
ssList(sk13),
inference(splitRight,[status(thm)],[c_470]) ).
tff(c_472,plain,
( ( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 )
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1962]) ).
tff(c_47055,plain,
app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2,
inference(negUnitSimplification,[status(thm)],[c_44528,c_472]) ).
tff(c_408,plain,
! [A_366,C_368,B_367] :
( ( app(app(cons(A_366,nil),C_368),cons(B_367,nil)) != sk4 )
| ( app(app(cons(B_367,nil),C_368),cons(A_366,nil)) = sk3 )
| ~ ssList(C_368)
| ~ ssItem(B_367)
| ~ ssItem(A_366)
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1851]) ).
tff(c_484,plain,
! [A_366,C_368,B_367] :
( ( app(app(cons(A_366,nil),C_368),cons(B_367,nil)) != sk4 )
| ( app(app(cons(B_367,nil),C_368),cons(A_366,nil)) = sk1 )
| ~ ssList(C_368)
| ~ ssItem(B_367)
| ~ ssItem(A_366)
| ssList(sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_408]) ).
tff(c_498,plain,
! [A_366,C_368,B_367] :
( ( app(app(cons(A_366,nil),C_368),cons(B_367,nil)) != sk2 )
| ( app(app(cons(B_367,nil),C_368),cons(A_366,nil)) = sk1 )
| ~ ssList(C_368)
| ~ ssItem(B_367)
| ~ ssItem(A_366)
| ssList(sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_484]) ).
tff(c_55123,plain,
! [A_3562,C_3563,B_3564] :
( ( app(app(cons(A_3562,nil),C_3563),cons(B_3564,nil)) != sk2 )
| ( app(app(cons(B_3564,nil),C_3563),cons(A_3562,nil)) = sk1 )
| ~ ssList(C_3563)
| ~ ssItem(B_3564)
| ~ ssItem(A_3562) ),
inference(negUnitSimplification,[status(thm)],[c_44528,c_498]) ).
tff(c_55133,plain,
( ( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1 )
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ ssItem(sk11) ),
inference(superposition,[status(thm),theory(equality)],[c_47055,c_55123]) ).
tff(c_55142,plain,
app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_44546,c_44544,c_44527,c_55133]) ).
tff(c_55144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47302,c_55142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC412-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:52:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 33.90/18.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.90/18.60
% 33.90/18.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 33.90/18.65
% 33.90/18.65 Inference rules
% 33.90/18.65 ----------------------
% 33.90/18.65 #Ref : 0
% 33.90/18.65 #Sup : 11926
% 33.90/18.65 #Fact : 0
% 33.90/18.65 #Define : 0
% 33.90/18.65 #Split : 121
% 33.90/18.65 #Chain : 0
% 33.90/18.65 #Close : 0
% 33.90/18.65
% 33.90/18.65 Ordering : KBO
% 33.90/18.65
% 33.90/18.65 Simplification rules
% 33.90/18.65 ----------------------
% 33.90/18.65 #Subsume : 914
% 33.90/18.65 #Demod : 13339
% 33.90/18.65 #Tautology : 2954
% 33.90/18.65 #SimpNegUnit : 40
% 33.90/18.65 #BackRed : 0
% 33.90/18.65
% 33.90/18.65 #Partial instantiations: 0
% 33.90/18.65 #Strategies tried : 1
% 33.90/18.65
% 33.90/18.65 Timing (in seconds)
% 33.90/18.65 ----------------------
% 33.90/18.65 Preprocessing : 0.94
% 33.90/18.65 Parsing : 0.46
% 33.90/18.65 CNF conversion : 0.07
% 33.90/18.65 Main loop : 16.54
% 33.90/18.65 Inferencing : 3.61
% 33.90/18.65 Reduction : 8.41
% 33.90/18.65 Demodulation : 6.39
% 33.90/18.65 BG Simplification : 0.15
% 33.90/18.65 Subsumption : 3.39
% 33.90/18.65 Abstraction : 0.18
% 33.90/18.65 MUC search : 0.00
% 33.90/18.65 Cooper : 0.00
% 33.90/18.66 Total : 17.56
% 33.90/18.66 Index Insertion : 0.00
% 33.90/18.66 Index Deletion : 0.00
% 33.90/18.66 Index Matching : 0.00
% 33.90/18.66 BG Taut test : 0.00
%------------------------------------------------------------------------------