TSTP Solution File: SYN784-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN784-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n023.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 11:12:25 EDT 2023
% Result : Unsatisfiable 15.37s 6.05s
% Output : CNFRefutation 16.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 40
% Syntax : Number of formulae : 355 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 1587 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 2119 ( 880 ~;1239 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 553 (; 553 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ssRr > ssPv4 > ssPv3 > ssPv2 > ssPv1 > #nlpp > skf3 > skf2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(skf3,type,
skf3: $i > $i ).
tff(ssPv1,type,
ssPv1: $i > $o ).
tff(ssPv3,type,
ssPv3: $i > $o ).
tff(skf2,type,
skf2: $i > $i ).
tff(ssRr,type,
ssRr: ( $i * $i ) > $o ).
tff(ssPv4,type,
ssPv4: $i > $o ).
tff(ssPv2,type,
ssPv2: $i > $o ).
tff(f_26,axiom,
! [U] : ssRr(skf3(U),U),
file(unknown,unknown) ).
tff(f_39,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ssPv4(U)
| ssPv2(V)
| ssPv3(V)
| ssPv4(V) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [U] : ssRr(U,skf2(U)),
file(unknown,unknown) ).
tff(f_51,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ssPv2(U)
| ssPv2(V)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_277,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(V,W)
| ~ ssPv3(W)
| ssPv2(V)
| ssPv4(V) ),
file(unknown,unknown) ).
tff(f_134,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(W,V)
| ~ ssPv2(V)
| ssPv3(U)
| ssPv2(W)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_229,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv1(W)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_213,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(W,V)
| ~ ssPv4(V)
| ssPv4(W)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_294,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv4(W)
| ~ ssPv3(V)
| ~ ssPv4(V)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_328,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(V,W)
| ~ ssPv2(V)
| ~ ssPv3(V)
| ssPv2(W) ),
file(unknown,unknown) ).
tff(f_119,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv3(V)
| ssPv2(U)
| ssPv4(W)
| ssPv4(V) ),
file(unknown,unknown) ).
tff(f_582,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv4(W)
| ~ ssRr(V,X)
| ~ ssPv3(X)
| ssPv4(U)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_379,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(V,W)
| ~ ssPv3(W)
| ~ ssPv3(V)
| ssPv1(V) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssPv3(V)
| ssPv1(U)
| ssPv1(V) ),
file(unknown,unknown) ).
tff(f_245,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(W)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_362,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_197,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(W)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_311,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv4(W) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssPv4(U)
| ssPv1(V)
| ssPv1(U) ),
file(unknown,unknown) ).
tff(f_662,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(W,V)
| ~ ssPv1(W)
| ~ ssRr(V,X)
| ~ ssPv1(X)
| ~ ssPv3(V) ),
file(unknown,unknown) ).
tff(f_413,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssRr(V,X)
| ssPv1(U)
| ssPv4(W)
| ssPv2(X)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv4(V)
| ssPv2(U)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_544,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ~ ssRr(V,X)
| ~ ssPv4(V)
| ssPv4(W)
| ssPv3(X) ),
file(unknown,unknown) ).
tff(f_563,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(W,V)
| ~ ssPv2(W)
| ~ ssRr(X,V)
| ssPv1(X)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_396,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ~ ssPv3(W)
| ~ ssPv3(V)
| ssPv1(V) ),
file(unknown,unknown) ).
tff(f_261,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssRr(W,V)
| ~ ssPv4(V)
| ssPv3(W)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_621,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssRr(V,W)
| ~ ssPv3(W)
| ~ ssRr(V,X)
| ~ ssPv1(V)
| ssPv2(X) ),
file(unknown,unknown) ).
tff(f_487,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(V,W)
| ~ ssPv2(W)
| ~ ssRr(V,X)
| ssPv4(X)
| ssPv4(V) ),
file(unknown,unknown) ).
tff(f_641,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv4(W)
| ~ ssRr(V,X)
| ~ ssPv2(X)
| ~ ssPv1(V)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_345,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(V,W)
| ~ ssPv1(V)
| ~ ssPv4(V)
| ssPv1(W) ),
file(unknown,unknown) ).
tff(f_165,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(W,V)
| ~ ssPv1(V)
| ~ ssPv4(V)
| ssPv4(U)
| ssPv2(W) ),
file(unknown,unknown) ).
tff(f_104,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ssPv4(V)
| ssPv3(W)
| ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_683,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ~ ssPv2(W)
| ~ ssRr(V,X)
| ~ ssPv1(X)
| ~ ssPv1(V) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [U_1] : ssRr(skf3(U_1),U_1),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_126,plain,
! [V_147,U_148] :
( ssPv4(V_147)
| ssPv3(V_147)
| ssPv2(V_147)
| ssPv4(U_148)
| ~ ssRr(U_148,V_147) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_133,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv3(U_1)
| ssPv2(U_1)
| ssPv4(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_126]) ).
tff(c_4,plain,
! [U_2] : ssRr(U_2,skf2(U_2)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_152,plain,
! [U_158] :
( ssPv4(skf2(U_158))
| ssPv3(skf2(U_158))
| ssPv2(skf2(U_158))
| ssPv4(U_158) ),
inference(resolution,[status(thm)],[c_4,c_126]) ).
tff(c_97,plain,
! [V_139,U_140] :
( ssPv3(V_139)
| ssPv2(V_139)
| ssPv2(U_140)
| ~ ssPv4(V_139)
| ~ ssRr(U_140,V_139) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_105,plain,
! [U_2] :
( ssPv3(skf2(U_2))
| ssPv2(skf2(U_2))
| ssPv2(U_2)
| ~ ssPv4(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_97]) ).
tff(c_159,plain,
! [U_158] :
( ssPv2(U_158)
| ssPv3(skf2(U_158))
| ssPv2(skf2(U_158))
| ssPv4(U_158) ),
inference(resolution,[status(thm)],[c_152,c_105]) ).
tff(c_419,plain,
! [V_230,W_231,U_232] :
( ssPv4(V_230)
| ssPv2(V_230)
| ~ ssPv3(W_231)
| ~ ssRr(V_230,W_231)
| ~ ssPv4(U_232)
| ~ ssRr(U_232,V_230) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_426,plain,
! [U_233,U_234] :
( ssPv4(U_233)
| ssPv2(U_233)
| ~ ssPv3(skf2(U_233))
| ~ ssPv4(U_234)
| ~ ssRr(U_234,U_233) ),
inference(resolution,[status(thm)],[c_4,c_419]) ).
tff(c_452,plain,
! [U_237,U_238] :
( ~ ssPv4(U_237)
| ~ ssRr(U_237,U_238)
| ssPv2(U_238)
| ssPv2(skf2(U_238))
| ssPv4(U_238) ),
inference(resolution,[status(thm)],[c_159,c_426]) ).
tff(c_459,plain,
! [U_239] :
( ~ ssPv4(skf3(U_239))
| ssPv2(U_239)
| ssPv2(skf2(U_239))
| ssPv4(U_239) ),
inference(resolution,[status(thm)],[c_2,c_452]) ).
tff(c_471,plain,
! [U_1] :
( ssPv2(skf2(U_1))
| ssPv4(U_1)
| ssPv3(U_1)
| ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_133,c_459]) ).
tff(c_140,plain,
! [V_154,W_155,U_156] :
( ssPv3(V_154)
| ssPv2(W_155)
| ssPv3(U_156)
| ~ ssPv2(V_154)
| ~ ssRr(W_155,V_154)
| ~ ssRr(U_156,V_154) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_2423,plain,
! [U_447,U_448] :
( ssPv3(skf2(U_447))
| ssPv2(U_447)
| ssPv3(U_448)
| ~ ssPv2(skf2(U_447))
| ~ ssRr(U_448,skf2(U_447)) ),
inference(resolution,[status(thm)],[c_4,c_140]) ).
tff(c_2433,plain,
! [U_449] :
( ssPv3(skf2(U_449))
| ssPv2(U_449)
| ssPv3(U_449)
| ~ ssPv2(skf2(U_449)) ),
inference(resolution,[status(thm)],[c_4,c_2423]) ).
tff(c_425,plain,
! [U_2,U_232] :
( ssPv4(U_2)
| ssPv2(U_2)
| ~ ssPv3(skf2(U_2))
| ~ ssPv4(U_232)
| ~ ssRr(U_232,U_2) ),
inference(resolution,[status(thm)],[c_4,c_419]) ).
tff(c_3424,plain,
! [U_501,U_502] :
( ssPv4(U_501)
| ~ ssPv4(U_502)
| ~ ssRr(U_502,U_501)
| ssPv2(U_501)
| ssPv3(U_501)
| ~ ssPv2(skf2(U_501)) ),
inference(resolution,[status(thm)],[c_2433,c_425]) ).
tff(c_3431,plain,
! [U_503] :
( ssPv4(U_503)
| ~ ssPv4(skf3(U_503))
| ssPv2(U_503)
| ssPv3(U_503)
| ~ ssPv2(skf2(U_503)) ),
inference(resolution,[status(thm)],[c_2,c_3424]) ).
tff(c_3496,plain,
! [U_507] :
( ~ ssPv2(skf2(U_507))
| ssPv4(U_507)
| ssPv3(U_507)
| ssPv2(U_507) ),
inference(resolution,[status(thm)],[c_133,c_3431]) ).
tff(c_3529,plain,
! [U_508] :
( ssPv4(U_508)
| ssPv3(U_508)
| ssPv2(U_508) ),
inference(resolution,[status(thm)],[c_471,c_3496]) ).
tff(c_104,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv2(U_1)
| ssPv2(skf3(U_1))
| ~ ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_2,c_97]) ).
tff(c_499,plain,
! [U_247,W_248,V_249] :
( ssPv3(U_247)
| ssPv1(W_248)
| ~ ssPv2(U_247)
| ~ ssRr(U_247,W_248)
| ~ ssPv4(V_249)
| ~ ssRr(U_247,V_249) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_1955,plain,
! [U_431,V_432] :
( ssPv3(skf3(U_431))
| ssPv1(U_431)
| ~ ssPv2(skf3(U_431))
| ~ ssPv4(V_432)
| ~ ssRr(skf3(U_431),V_432) ),
inference(resolution,[status(thm)],[c_2,c_499]) ).
tff(c_1965,plain,
! [U_433] :
( ssPv3(skf3(U_433))
| ssPv1(U_433)
| ~ ssPv2(skf3(U_433))
| ~ ssPv4(U_433) ),
inference(resolution,[status(thm)],[c_2,c_1955]) ).
tff(c_348,plain,
! [V_211,W_212,U_213] :
( ssPv3(V_211)
| ssPv4(W_212)
| ~ ssPv4(V_211)
| ~ ssRr(W_212,V_211)
| ~ ssPv3(U_213)
| ~ ssRr(U_213,V_211) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_355,plain,
! [U_214,U_215] :
( ssPv3(U_214)
| ssPv4(skf3(U_214))
| ~ ssPv4(U_214)
| ~ ssPv3(U_215)
| ~ ssRr(U_215,U_214) ),
inference(resolution,[status(thm)],[c_2,c_348]) ).
tff(c_360,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv4(skf3(U_1))
| ~ ssPv4(U_1)
| ~ ssPv3(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_355]) ).
tff(c_668,plain,
! [U_272,V_273,W_274] :
( ssPv3(U_272)
| ~ ssPv4(V_273)
| ~ ssPv3(V_273)
| ~ ssPv4(W_274)
| ~ ssRr(V_273,W_274)
| ~ ssRr(U_272,V_273) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_1436,plain,
! [U_373,U_374] :
( ssPv3(U_373)
| ~ ssPv4(skf3(U_374))
| ~ ssPv3(skf3(U_374))
| ~ ssPv4(U_374)
| ~ ssRr(U_373,skf3(U_374)) ),
inference(resolution,[status(thm)],[c_2,c_668]) ).
tff(c_1442,plain,
! [U_375] :
( ssPv3(skf3(skf3(U_375)))
| ~ ssPv4(skf3(U_375))
| ~ ssPv3(skf3(U_375))
| ~ ssPv4(U_375) ),
inference(resolution,[status(thm)],[c_2,c_1436]) ).
tff(c_222,plain,
! [W_177,V_178,U_179] :
( ssPv2(W_177)
| ~ ssPv3(V_178)
| ~ ssPv2(V_178)
| ~ ssRr(V_178,W_177)
| ~ ssPv3(U_179)
| ~ ssRr(U_179,V_178) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_780,plain,
! [U_295,U_296] :
( ssPv2(U_295)
| ~ ssPv3(skf3(U_295))
| ~ ssPv2(skf3(U_295))
| ~ ssPv3(U_296)
| ~ ssRr(U_296,skf3(U_295)) ),
inference(resolution,[status(thm)],[c_2,c_222]) ).
tff(c_785,plain,
! [U_295] :
( ssPv2(U_295)
| ~ ssPv3(skf3(U_295))
| ~ ssPv2(skf3(U_295))
| ~ ssPv3(skf3(skf3(U_295))) ),
inference(resolution,[status(thm)],[c_2,c_780]) ).
tff(c_1459,plain,
! [U_376] :
( ssPv2(U_376)
| ~ ssPv2(skf3(U_376))
| ~ ssPv4(skf3(U_376))
| ~ ssPv3(skf3(U_376))
| ~ ssPv4(U_376) ),
inference(resolution,[status(thm)],[c_1442,c_785]) ).
tff(c_1486,plain,
! [U_1] :
( ssPv2(U_1)
| ~ ssPv2(skf3(U_1))
| ssPv3(U_1)
| ~ ssPv4(U_1)
| ~ ssPv3(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_360,c_1459]) ).
tff(c_1998,plain,
! [U_434] :
( ssPv2(U_434)
| ssPv3(U_434)
| ssPv1(U_434)
| ~ ssPv2(skf3(U_434))
| ~ ssPv4(U_434) ),
inference(resolution,[status(thm)],[c_1965,c_1486]) ).
tff(c_2029,plain,
! [U_1] :
( ssPv1(U_1)
| ssPv3(U_1)
| ssPv2(U_1)
| ~ ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_104,c_1998]) ).
tff(c_3598,plain,
! [U_508] :
( ssPv1(U_508)
| ssPv3(U_508)
| ssPv2(U_508) ),
inference(resolution,[status(thm)],[c_3529,c_2029]) ).
tff(c_299,plain,
! [V_199,W_200,U_201] :
( ssPv4(V_199)
| ssPv4(W_200)
| ssPv2(U_201)
| ~ ssPv3(V_199)
| ~ ssRr(V_199,W_200)
| ~ ssRr(U_201,V_199) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_306,plain,
! [U_202,U_203] :
( ssPv4(U_202)
| ssPv4(skf2(U_202))
| ssPv2(U_203)
| ~ ssPv3(U_202)
| ~ ssRr(U_203,U_202) ),
inference(resolution,[status(thm)],[c_4,c_299]) ).
tff(c_311,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv4(skf2(U_1))
| ssPv2(skf3(U_1))
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_2,c_306]) ).
tff(c_1023,plain,
! [U_325,U_326] :
( ssPv3(skf2(U_325))
| ssPv4(U_325)
| ~ ssPv4(skf2(U_325))
| ~ ssPv3(U_326)
| ~ ssRr(U_326,skf2(U_325)) ),
inference(resolution,[status(thm)],[c_4,c_348]) ).
tff(c_1040,plain,
! [U_331] :
( ssPv3(skf2(U_331))
| ssPv4(U_331)
| ~ ssPv4(skf2(U_331))
| ~ ssPv3(U_331) ),
inference(resolution,[status(thm)],[c_4,c_1023]) ).
tff(c_1079,plain,
! [U_1] :
( ssPv3(skf2(U_1))
| ssPv4(U_1)
| ssPv2(skf3(U_1))
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_311,c_1040]) ).
tff(c_1358,plain,
! [V_360,U_361,X_362,W_363] :
( ssPv2(V_360)
| ssPv4(U_361)
| ~ ssPv3(X_362)
| ~ ssRr(V_360,X_362)
| ~ ssPv4(W_363)
| ~ ssRr(V_360,W_363)
| ~ ssRr(U_361,V_360) ),
inference(cnfTransformation,[status(thm)],[f_582]) ).
tff(c_8942,plain,
! [U_737,U_738,W_739] :
( ssPv2(skf3(U_737))
| ssPv4(U_738)
| ~ ssPv3(U_737)
| ~ ssPv4(W_739)
| ~ ssRr(skf3(U_737),W_739)
| ~ ssRr(U_738,skf3(U_737)) ),
inference(resolution,[status(thm)],[c_2,c_1358]) ).
tff(c_8950,plain,
! [U_740,U_741] :
( ssPv2(skf3(U_740))
| ssPv4(U_741)
| ~ ssPv3(U_740)
| ~ ssPv4(U_740)
| ~ ssRr(U_741,skf3(U_740)) ),
inference(resolution,[status(thm)],[c_2,c_8942]) ).
tff(c_8956,plain,
! [U_742] :
( ssPv2(skf3(U_742))
| ssPv4(skf3(skf3(U_742)))
| ~ ssPv3(U_742)
| ~ ssPv4(U_742) ),
inference(resolution,[status(thm)],[c_2,c_8950]) ).
tff(c_706,plain,
! [V_277,W_278,U_279] :
( ssPv1(V_277)
| ~ ssPv3(V_277)
| ~ ssPv3(W_278)
| ~ ssRr(V_277,W_278)
| ~ ssPv4(U_279)
| ~ ssRr(U_279,V_277) ),
inference(cnfTransformation,[status(thm)],[f_379]) ).
tff(c_1595,plain,
! [U_399,U_400] :
( ssPv1(skf3(U_399))
| ~ ssPv3(skf3(U_399))
| ~ ssPv3(U_399)
| ~ ssPv4(U_400)
| ~ ssRr(U_400,skf3(U_399)) ),
inference(resolution,[status(thm)],[c_2,c_706]) ).
tff(c_1600,plain,
! [U_399] :
( ssPv1(skf3(U_399))
| ~ ssPv3(skf3(U_399))
| ~ ssPv3(U_399)
| ~ ssPv4(skf3(skf3(U_399))) ),
inference(resolution,[status(thm)],[c_2,c_1595]) ).
tff(c_9228,plain,
! [U_748] :
( ssPv1(skf3(U_748))
| ~ ssPv3(skf3(U_748))
| ssPv2(skf3(U_748))
| ~ ssPv3(U_748)
| ~ ssPv4(U_748) ),
inference(resolution,[status(thm)],[c_8956,c_1600]) ).
tff(c_9293,plain,
! [U_749] :
( ~ ssPv3(U_749)
| ~ ssPv4(U_749)
| ssPv1(skf3(U_749))
| ssPv2(skf3(U_749)) ),
inference(resolution,[status(thm)],[c_3598,c_9228]) ).
tff(c_1963,plain,
! [U_1] :
( ssPv3(skf3(U_1))
| ssPv1(U_1)
| ~ ssPv2(skf3(U_1))
| ~ ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_2,c_1955]) ).
tff(c_106,plain,
! [V_141,U_142] :
( ssPv1(V_141)
| ssPv1(U_142)
| ~ ssPv3(V_141)
| ~ ssPv2(V_141)
| ~ ssRr(U_142,V_141) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_113,plain,
! [U_1] :
( ssPv1(U_1)
| ssPv1(skf3(U_1))
| ~ ssPv3(U_1)
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_106]) ).
tff(c_243,plain,
! [U_185,W_186,V_187] :
( ssPv3(U_185)
| ssPv4(W_186)
| ~ ssPv1(U_185)
| ~ ssRr(U_185,W_186)
| ~ ssPv2(V_187)
| ~ ssRr(U_185,V_187) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_1227,plain,
! [U_347,V_348] :
( ssPv3(skf3(U_347))
| ssPv4(U_347)
| ~ ssPv1(skf3(U_347))
| ~ ssPv2(V_348)
| ~ ssRr(skf3(U_347),V_348) ),
inference(resolution,[status(thm)],[c_2,c_243]) ).
tff(c_1237,plain,
! [U_349] :
( ssPv3(skf3(U_349))
| ssPv4(U_349)
| ~ ssPv1(skf3(U_349))
| ~ ssPv2(U_349) ),
inference(resolution,[status(thm)],[c_2,c_1227]) ).
tff(c_229,plain,
! [U_180,U_181] :
( ssPv2(skf2(U_180))
| ~ ssPv3(U_180)
| ~ ssPv2(U_180)
| ~ ssPv3(U_181)
| ~ ssRr(U_181,U_180) ),
inference(resolution,[status(thm)],[c_4,c_222]) ).
tff(c_234,plain,
! [U_1] :
( ssPv2(skf2(U_1))
| ~ ssPv3(U_1)
| ~ ssPv2(U_1)
| ~ ssPv3(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_229]) ).
tff(c_1274,plain,
! [U_355] :
( ssPv2(skf2(U_355))
| ~ ssPv3(U_355)
| ssPv4(U_355)
| ~ ssPv1(skf3(U_355))
| ~ ssPv2(U_355) ),
inference(resolution,[status(thm)],[c_1237,c_234]) ).
tff(c_313,plain,
! [U_204,W_205,V_206] :
( ssPv4(U_204)
| ~ ssPv3(U_204)
| ~ ssPv2(W_205)
| ~ ssRr(U_204,W_205)
| ~ ssPv3(V_206)
| ~ ssRr(U_204,V_206) ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_319,plain,
! [U_2,V_206] :
( ssPv4(U_2)
| ~ ssPv3(U_2)
| ~ ssPv2(skf2(U_2))
| ~ ssPv3(V_206)
| ~ ssRr(U_2,V_206) ),
inference(resolution,[status(thm)],[c_4,c_313]) ).
tff(c_6891,plain,
! [V_676,U_677] :
( ~ ssPv3(V_676)
| ~ ssRr(U_677,V_676)
| ~ ssPv3(U_677)
| ssPv4(U_677)
| ~ ssPv1(skf3(U_677))
| ~ ssPv2(U_677) ),
inference(resolution,[status(thm)],[c_1274,c_319]) ).
tff(c_6898,plain,
! [U_678] :
( ~ ssPv3(skf2(U_678))
| ~ ssPv3(U_678)
| ssPv4(U_678)
| ~ ssPv1(skf3(U_678))
| ~ ssPv2(U_678) ),
inference(resolution,[status(thm)],[c_4,c_6891]) ).
tff(c_6967,plain,
! [U_679] :
( ~ ssPv1(skf3(U_679))
| ~ ssPv2(U_679)
| ssPv4(U_679)
| ssPv2(skf3(U_679))
| ~ ssPv3(U_679) ),
inference(resolution,[status(thm)],[c_1079,c_6898]) ).
tff(c_166,plain,
! [U_160,W_161,V_162] :
( ssPv4(U_160)
| ssPv4(W_161)
| ~ ssPv1(U_160)
| ~ ssRr(U_160,W_161)
| ~ ssPv2(V_162)
| ~ ssRr(U_160,V_162) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_1808,plain,
! [U_419,V_420] :
( ssPv4(skf3(U_419))
| ssPv4(U_419)
| ~ ssPv1(skf3(U_419))
| ~ ssPv2(V_420)
| ~ ssRr(skf3(U_419),V_420) ),
inference(resolution,[status(thm)],[c_2,c_166]) ).
tff(c_1825,plain,
! [U_425] :
( ssPv4(skf3(U_425))
| ssPv4(U_425)
| ~ ssPv1(skf3(U_425))
| ~ ssPv2(U_425) ),
inference(resolution,[status(thm)],[c_2,c_1808]) ).
tff(c_575,plain,
! [W_256,U_257,V_258] :
( ssPv4(W_256)
| ~ ssPv4(U_257)
| ~ ssPv2(U_257)
| ~ ssRr(U_257,W_256)
| ~ ssPv2(V_258)
| ~ ssRr(U_257,V_258) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_795,plain,
! [U_298,V_299] :
( ssPv4(U_298)
| ~ ssPv4(skf3(U_298))
| ~ ssPv2(skf3(U_298))
| ~ ssPv2(V_299)
| ~ ssRr(skf3(U_298),V_299) ),
inference(resolution,[status(thm)],[c_2,c_575]) ).
tff(c_803,plain,
! [U_1] :
( ssPv4(U_1)
| ~ ssPv4(skf3(U_1))
| ~ ssPv2(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_795]) ).
tff(c_1854,plain,
! [U_425] :
( ~ ssPv2(skf3(U_425))
| ssPv4(U_425)
| ~ ssPv1(skf3(U_425))
| ~ ssPv2(U_425) ),
inference(resolution,[status(thm)],[c_1825,c_803]) ).
tff(c_7007,plain,
! [U_680] :
( ~ ssPv1(skf3(U_680))
| ~ ssPv2(U_680)
| ssPv4(U_680)
| ~ ssPv3(U_680) ),
inference(resolution,[status(thm)],[c_6967,c_1854]) ).
tff(c_7024,plain,
! [U_681] :
( ssPv4(U_681)
| ssPv1(U_681)
| ~ ssPv3(U_681)
| ~ ssPv2(U_681) ),
inference(resolution,[status(thm)],[c_113,c_7007]) ).
tff(c_117,plain,
! [U_145,V_146] :
( ssPv1(U_145)
| ssPv1(V_146)
| ~ ssPv4(U_145)
| ~ ssPv3(U_145)
| ~ ssRr(U_145,V_146) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_124,plain,
! [U_1] :
( ssPv1(skf3(U_1))
| ssPv1(U_1)
| ~ ssPv4(skf3(U_1))
| ~ ssPv3(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_117]) ).
tff(c_7129,plain,
! [U_682] :
( ssPv1(U_682)
| ssPv1(skf3(U_682))
| ~ ssPv3(skf3(U_682))
| ~ ssPv2(skf3(U_682)) ),
inference(resolution,[status(thm)],[c_7024,c_124]) ).
tff(c_7189,plain,
! [U_1] :
( ssPv1(skf3(U_1))
| ssPv1(U_1)
| ~ ssPv2(skf3(U_1))
| ~ ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_1963,c_7129]) ).
tff(c_9336,plain,
! [U_749] :
( ssPv1(U_749)
| ~ ssPv3(U_749)
| ~ ssPv4(U_749)
| ssPv1(skf3(U_749)) ),
inference(resolution,[status(thm)],[c_9293,c_7189]) ).
tff(c_125,plain,
! [U_2] :
( ssPv1(U_2)
| ssPv1(skf2(U_2))
| ~ ssPv4(U_2)
| ~ ssPv3(U_2) ),
inference(resolution,[status(thm)],[c_4,c_117]) ).
tff(c_1546,plain,
! [V_384,X_385,W_386,U_387] :
( ~ ssPv3(V_384)
| ~ ssPv1(X_385)
| ~ ssRr(V_384,X_385)
| ~ ssPv1(W_386)
| ~ ssRr(W_386,V_384)
| ~ ssPv3(U_387)
| ~ ssRr(U_387,V_384) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_3480,plain,
! [U_504,W_505,U_506] :
( ~ ssPv3(U_504)
| ~ ssPv1(skf2(U_504))
| ~ ssPv1(W_505)
| ~ ssRr(W_505,U_504)
| ~ ssPv3(U_506)
| ~ ssRr(U_506,U_504) ),
inference(resolution,[status(thm)],[c_4,c_1546]) ).
tff(c_14535,plain,
! [W_893,U_894,U_895] :
( ~ ssPv1(W_893)
| ~ ssRr(W_893,U_894)
| ~ ssPv3(U_895)
| ~ ssRr(U_895,U_894)
| ssPv1(U_894)
| ~ ssPv4(U_894)
| ~ ssPv3(U_894) ),
inference(resolution,[status(thm)],[c_125,c_3480]) ).
tff(c_14741,plain,
! [U_899,U_900] :
( ~ ssPv1(skf3(U_899))
| ~ ssPv3(U_900)
| ~ ssRr(U_900,U_899)
| ssPv1(U_899)
| ~ ssPv4(U_899)
| ~ ssPv3(U_899) ),
inference(resolution,[status(thm)],[c_2,c_14535]) ).
tff(c_14769,plain,
! [U_901,U_902] :
( ~ ssPv3(U_901)
| ~ ssRr(U_901,U_902)
| ssPv1(U_902)
| ~ ssPv3(U_902)
| ~ ssPv4(U_902) ),
inference(resolution,[status(thm)],[c_9336,c_14741]) ).
tff(c_14944,plain,
! [U_905] :
( ~ ssPv3(U_905)
| ssPv1(skf2(U_905))
| ~ ssPv3(skf2(U_905))
| ~ ssPv4(skf2(U_905)) ),
inference(resolution,[status(thm)],[c_4,c_14769]) ).
tff(c_16438,plain,
! [U_922] :
( ssPv1(skf2(U_922))
| ~ ssPv3(skf2(U_922))
| ssPv4(U_922)
| ssPv2(skf3(U_922))
| ~ ssPv3(U_922) ),
inference(resolution,[status(thm)],[c_311,c_14944]) ).
tff(c_16515,plain,
! [U_923] :
( ssPv1(skf2(U_923))
| ssPv4(U_923)
| ssPv2(skf3(U_923))
| ~ ssPv3(U_923) ),
inference(resolution,[status(thm)],[c_1079,c_16438]) ).
tff(c_1818,plain,
! [V_421,X_422,W_423,U_424] :
( ssPv3(V_421)
| ssPv2(X_422)
| ssPv4(W_423)
| ssPv1(U_424)
| ~ ssRr(V_421,X_422)
| ~ ssRr(V_421,W_423)
| ~ ssRr(U_424,V_421) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_8065,plain,
! [U_708,W_709,U_710] :
( ssPv3(skf3(U_708))
| ssPv2(U_708)
| ssPv4(W_709)
| ssPv1(U_710)
| ~ ssRr(skf3(U_708),W_709)
| ~ ssRr(U_710,skf3(U_708)) ),
inference(resolution,[status(thm)],[c_2,c_1818]) ).
tff(c_8073,plain,
! [U_711,U_712] :
( ssPv3(skf3(U_711))
| ssPv2(U_711)
| ssPv4(U_711)
| ssPv1(U_712)
| ~ ssRr(U_712,skf3(U_711)) ),
inference(resolution,[status(thm)],[c_2,c_8065]) ).
tff(c_8078,plain,
! [U_711] :
( ssPv3(skf3(U_711))
| ssPv2(U_711)
| ssPv4(U_711)
| ssPv1(skf3(skf3(U_711))) ),
inference(resolution,[status(thm)],[c_2,c_8073]) ).
tff(c_1816,plain,
! [U_1] :
( ssPv4(skf3(U_1))
| ssPv4(U_1)
| ~ ssPv1(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_1808]) ).
tff(c_87,plain,
! [V_136,U_137] :
( ssPv2(V_136)
| ssPv2(U_137)
| ~ ssPv4(V_136)
| ~ ssPv1(V_136)
| ~ ssRr(U_137,V_136) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_94,plain,
! [U_1] :
( ssPv2(U_1)
| ssPv2(skf3(U_1))
| ~ ssPv4(U_1)
| ~ ssPv1(U_1) ),
inference(resolution,[status(thm)],[c_2,c_87]) ).
tff(c_1408,plain,
! [X_368,W_369,V_370,U_371] :
( ssPv3(X_368)
| ssPv4(W_369)
| ~ ssPv4(V_370)
| ~ ssRr(V_370,X_368)
| ~ ssRr(V_370,W_369)
| ~ ssPv2(U_371)
| ~ ssRr(U_371,V_370) ),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_9892,plain,
! [U_776,W_777,U_778] :
( ssPv3(U_776)
| ssPv4(W_777)
| ~ ssPv4(skf3(U_776))
| ~ ssRr(skf3(U_776),W_777)
| ~ ssPv2(U_778)
| ~ ssRr(U_778,skf3(U_776)) ),
inference(resolution,[status(thm)],[c_2,c_1408]) ).
tff(c_9900,plain,
! [U_779,U_780] :
( ssPv3(U_779)
| ssPv4(U_779)
| ~ ssPv4(skf3(U_779))
| ~ ssPv2(U_780)
| ~ ssRr(U_780,skf3(U_779)) ),
inference(resolution,[status(thm)],[c_2,c_9892]) ).
tff(c_9906,plain,
! [U_781] :
( ssPv3(U_781)
| ssPv4(U_781)
| ~ ssPv4(skf3(U_781))
| ~ ssPv2(skf3(skf3(U_781))) ),
inference(resolution,[status(thm)],[c_2,c_9900]) ).
tff(c_10150,plain,
! [U_788] :
( ssPv3(U_788)
| ssPv4(U_788)
| ssPv2(skf3(U_788))
| ~ ssPv4(skf3(U_788))
| ~ ssPv1(skf3(U_788)) ),
inference(resolution,[status(thm)],[c_94,c_9906]) ).
tff(c_10235,plain,
! [U_789] :
( ssPv3(U_789)
| ssPv2(skf3(U_789))
| ssPv4(U_789)
| ~ ssPv1(skf3(U_789))
| ~ ssPv2(U_789) ),
inference(resolution,[status(thm)],[c_1816,c_10150]) ).
tff(c_10299,plain,
! [U_793] :
( ssPv3(U_793)
| ssPv4(U_793)
| ~ ssPv1(skf3(U_793))
| ~ ssPv2(U_793) ),
inference(resolution,[status(thm)],[c_10235,c_1854]) ).
tff(c_10325,plain,
! [U_711] :
( ssPv4(skf3(U_711))
| ~ ssPv2(skf3(U_711))
| ssPv3(skf3(U_711))
| ssPv2(U_711)
| ssPv4(U_711) ),
inference(resolution,[status(thm)],[c_8078,c_10299]) ).
tff(c_1628,plain,
! [V_404,X_405,W_406,U_407] :
( ssPv2(V_404)
| ssPv1(X_405)
| ~ ssRr(X_405,V_404)
| ~ ssPv2(W_406)
| ~ ssRr(W_406,V_404)
| ~ ssPv4(U_407)
| ~ ssRr(U_407,V_404) ),
inference(cnfTransformation,[status(thm)],[f_563]) ).
tff(c_10694,plain,
! [U_802,W_803,U_804] :
( ssPv2(skf2(U_802))
| ssPv1(U_802)
| ~ ssPv2(W_803)
| ~ ssRr(W_803,skf2(U_802))
| ~ ssPv4(U_804)
| ~ ssRr(U_804,skf2(U_802)) ),
inference(resolution,[status(thm)],[c_4,c_1628]) ).
tff(c_10702,plain,
! [U_805,U_806] :
( ssPv2(skf2(U_805))
| ssPv1(U_805)
| ~ ssPv2(U_805)
| ~ ssPv4(U_806)
| ~ ssRr(U_806,skf2(U_805)) ),
inference(resolution,[status(thm)],[c_4,c_10694]) ).
tff(c_10712,plain,
! [U_807] :
( ssPv2(skf2(U_807))
| ssPv1(U_807)
| ~ ssPv2(U_807)
| ~ ssPv4(U_807) ),
inference(resolution,[status(thm)],[c_4,c_10702]) ).
tff(c_804,plain,
! [U_298] :
( ssPv4(U_298)
| ~ ssPv4(skf3(U_298))
| ~ ssPv2(skf3(U_298))
| ~ ssPv2(skf2(skf3(U_298))) ),
inference(resolution,[status(thm)],[c_4,c_795]) ).
tff(c_10825,plain,
! [U_811] :
( ssPv4(U_811)
| ssPv1(skf3(U_811))
| ~ ssPv2(skf3(U_811))
| ~ ssPv4(skf3(U_811)) ),
inference(resolution,[status(thm)],[c_10712,c_804]) ).
tff(c_11372,plain,
! [U_823] :
( ssPv1(skf3(U_823))
| ~ ssPv2(skf3(U_823))
| ssPv3(skf3(U_823))
| ssPv2(U_823)
| ssPv4(U_823) ),
inference(resolution,[status(thm)],[c_10325,c_10825]) ).
tff(c_7023,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv1(U_1)
| ~ ssPv3(U_1)
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_113,c_7007]) ).
tff(c_10899,plain,
! [U_811] :
( ssPv4(U_811)
| ssPv1(skf3(U_811))
| ~ ssPv3(skf3(U_811))
| ~ ssPv2(skf3(U_811)) ),
inference(resolution,[status(thm)],[c_7023,c_10825]) ).
tff(c_11430,plain,
! [U_823] :
( ssPv1(skf3(U_823))
| ~ ssPv2(skf3(U_823))
| ssPv2(U_823)
| ssPv4(U_823) ),
inference(resolution,[status(thm)],[c_11372,c_10899]) ).
tff(c_16571,plain,
! [U_923] :
( ssPv1(skf3(U_923))
| ssPv2(U_923)
| ssPv1(skf2(U_923))
| ssPv4(U_923)
| ~ ssPv3(U_923) ),
inference(resolution,[status(thm)],[c_16515,c_11430]) ).
tff(c_134,plain,
! [U_2] :
( ssPv4(skf2(U_2))
| ssPv3(skf2(U_2))
| ssPv2(skf2(U_2))
| ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_4,c_126]) ).
tff(c_1099,plain,
! [U_333] :
( ~ ssPv3(U_333)
| ssPv3(skf2(U_333))
| ssPv2(skf2(U_333))
| ssPv4(U_333) ),
inference(resolution,[status(thm)],[c_134,c_1040]) ).
tff(c_385,plain,
! [V_219,W_220,U_221] :
( ssPv1(V_219)
| ~ ssPv3(V_219)
| ~ ssPv3(W_220)
| ~ ssRr(V_219,W_220)
| ~ ssPv2(U_221)
| ~ ssRr(U_221,V_219) ),
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_391,plain,
! [U_2,U_221] :
( ssPv1(U_2)
| ~ ssPv3(U_2)
| ~ ssPv3(skf2(U_2))
| ~ ssPv2(U_221)
| ~ ssRr(U_221,U_2) ),
inference(resolution,[status(thm)],[c_4,c_385]) ).
tff(c_5613,plain,
! [U_615,U_616] :
( ssPv1(U_615)
| ~ ssPv2(U_616)
| ~ ssRr(U_616,U_615)
| ~ ssPv3(U_615)
| ssPv2(skf2(U_615))
| ssPv4(U_615) ),
inference(resolution,[status(thm)],[c_1099,c_391]) ).
tff(c_5618,plain,
! [U_1] :
( ssPv1(U_1)
| ~ ssPv2(skf3(U_1))
| ~ ssPv3(U_1)
| ssPv2(skf2(U_1))
| ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_2,c_5613]) ).
tff(c_17841,plain,
! [U_944] :
( ssPv1(U_944)
| ssPv2(skf2(U_944))
| ssPv1(skf2(U_944))
| ssPv4(U_944)
| ~ ssPv3(U_944) ),
inference(resolution,[status(thm)],[c_16515,c_5618]) ).
tff(c_4270,plain,
! [U_550,W_551,U_552] :
( ssPv3(U_550)
| ssPv2(skf2(U_550))
| ssPv4(W_551)
| ssPv1(U_552)
| ~ ssRr(U_550,W_551)
| ~ ssRr(U_552,U_550) ),
inference(resolution,[status(thm)],[c_4,c_1818]) ).
tff(c_4277,plain,
! [U_553,U_554] :
( ssPv3(U_553)
| ssPv2(skf2(U_553))
| ssPv4(skf2(U_553))
| ssPv1(U_554)
| ~ ssRr(U_554,U_553) ),
inference(resolution,[status(thm)],[c_4,c_4270]) ).
tff(c_4284,plain,
! [U_555] :
( ssPv3(U_555)
| ssPv2(skf2(U_555))
| ssPv4(skf2(U_555))
| ssPv1(skf3(U_555)) ),
inference(resolution,[status(thm)],[c_2,c_4277]) ).
tff(c_275,plain,
! [V_192,W_193,U_194] :
( ssPv2(V_192)
| ssPv3(W_193)
| ~ ssPv4(V_192)
| ~ ssRr(W_193,V_192)
| ~ ssPv1(U_194)
| ~ ssRr(U_194,V_192) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_1298,plain,
! [U_356,U_357] :
( ssPv2(skf2(U_356))
| ssPv3(U_356)
| ~ ssPv4(skf2(U_356))
| ~ ssPv1(U_357)
| ~ ssRr(U_357,skf2(U_356)) ),
inference(resolution,[status(thm)],[c_4,c_275]) ).
tff(c_1307,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv3(U_2)
| ~ ssPv4(skf2(U_2))
| ~ ssPv1(U_2) ),
inference(resolution,[status(thm)],[c_4,c_1298]) ).
tff(c_4320,plain,
! [U_556] :
( ~ ssPv1(U_556)
| ssPv3(U_556)
| ssPv2(skf2(U_556))
| ssPv1(skf3(U_556)) ),
inference(resolution,[status(thm)],[c_4284,c_1307]) ).
tff(c_1236,plain,
! [U_347] :
( ssPv3(skf3(U_347))
| ssPv4(U_347)
| ~ ssPv1(skf3(U_347))
| ~ ssPv2(skf2(skf3(U_347))) ),
inference(resolution,[status(thm)],[c_4,c_1227]) ).
tff(c_4402,plain,
! [U_559] :
( ssPv4(U_559)
| ~ ssPv1(skf3(U_559))
| ssPv3(skf3(U_559))
| ssPv1(skf3(skf3(U_559))) ),
inference(resolution,[status(thm)],[c_4320,c_1236]) ).
tff(c_3603,plain,
! [U_2] :
( ssPv3(U_2)
| ~ ssPv1(U_2)
| ssPv3(skf2(U_2))
| ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_3529,c_1307]) ).
tff(c_972,plain,
! [X_317,V_318,W_319,U_320] :
( ssPv2(X_317)
| ~ ssPv1(V_318)
| ~ ssRr(V_318,X_317)
| ~ ssPv3(W_319)
| ~ ssRr(V_318,W_319)
| ~ ssPv1(U_320)
| ~ ssRr(U_320,V_318) ),
inference(cnfTransformation,[status(thm)],[f_621]) ).
tff(c_3729,plain,
! [U_512,W_513,U_514] :
( ssPv2(skf2(U_512))
| ~ ssPv1(U_512)
| ~ ssPv3(W_513)
| ~ ssRr(U_512,W_513)
| ~ ssPv1(U_514)
| ~ ssRr(U_514,U_512) ),
inference(resolution,[status(thm)],[c_4,c_972]) ).
tff(c_3736,plain,
! [U_515,U_516] :
( ssPv2(skf2(U_515))
| ~ ssPv1(U_515)
| ~ ssPv3(skf2(U_515))
| ~ ssPv1(U_516)
| ~ ssRr(U_516,U_515) ),
inference(resolution,[status(thm)],[c_4,c_3729]) ).
tff(c_3938,plain,
! [U_531,U_532] :
( ~ ssPv1(U_531)
| ~ ssRr(U_531,U_532)
| ssPv3(U_532)
| ~ ssPv1(U_532)
| ssPv2(skf2(U_532)) ),
inference(resolution,[status(thm)],[c_3603,c_3736]) ).
tff(c_3945,plain,
! [U_533] :
( ~ ssPv1(skf3(U_533))
| ssPv3(U_533)
| ~ ssPv1(U_533)
| ssPv2(skf2(U_533)) ),
inference(resolution,[status(thm)],[c_2,c_3938]) ).
tff(c_3970,plain,
! [U_347] :
( ssPv4(U_347)
| ~ ssPv1(skf3(skf3(U_347)))
| ssPv3(skf3(U_347))
| ~ ssPv1(skf3(U_347)) ),
inference(resolution,[status(thm)],[c_3945,c_1236]) ).
tff(c_4423,plain,
! [U_560] :
( ssPv4(U_560)
| ~ ssPv1(skf3(U_560))
| ssPv3(skf3(U_560)) ),
inference(resolution,[status(thm)],[c_4402,c_3970]) ).
tff(c_1220,plain,
! [V_343,X_344,W_345,U_346] :
( ssPv4(V_343)
| ssPv4(X_344)
| ~ ssRr(V_343,X_344)
| ~ ssPv2(W_345)
| ~ ssRr(V_343,W_345)
| ~ ssPv3(U_346)
| ~ ssRr(U_346,V_343) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_3150,plain,
! [U_488,W_489,U_490] :
( ssPv4(U_488)
| ssPv4(skf2(U_488))
| ~ ssPv2(W_489)
| ~ ssRr(U_488,W_489)
| ~ ssPv3(U_490)
| ~ ssRr(U_490,U_488) ),
inference(resolution,[status(thm)],[c_4,c_1220]) ).
tff(c_3157,plain,
! [U_491,U_492] :
( ssPv4(U_491)
| ssPv4(skf2(U_491))
| ~ ssPv2(skf2(U_491))
| ~ ssPv3(U_492)
| ~ ssRr(U_492,U_491) ),
inference(resolution,[status(thm)],[c_4,c_3150]) ).
tff(c_3164,plain,
! [U_493] :
( ssPv4(U_493)
| ssPv4(skf2(U_493))
| ~ ssPv2(skf2(U_493))
| ~ ssPv3(skf3(U_493)) ),
inference(resolution,[status(thm)],[c_2,c_3157]) ).
tff(c_1032,plain,
! [U_2] :
( ssPv3(skf2(U_2))
| ssPv4(U_2)
| ~ ssPv4(skf2(U_2))
| ~ ssPv3(U_2) ),
inference(resolution,[status(thm)],[c_4,c_1023]) ).
tff(c_3198,plain,
! [U_493] :
( ssPv3(skf2(U_493))
| ~ ssPv3(U_493)
| ssPv4(U_493)
| ~ ssPv2(skf2(U_493))
| ~ ssPv3(skf3(U_493)) ),
inference(resolution,[status(thm)],[c_3164,c_1032]) ).
tff(c_4461,plain,
! [U_560] :
( ssPv3(skf2(U_560))
| ~ ssPv3(U_560)
| ~ ssPv2(skf2(U_560))
| ssPv4(U_560)
| ~ ssPv1(skf3(U_560)) ),
inference(resolution,[status(thm)],[c_4423,c_3198]) ).
tff(c_10711,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv1(U_2)
| ~ ssPv2(U_2)
| ~ ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_4,c_10702]) ).
tff(c_582,plain,
! [U_259,V_260] :
( ssPv4(skf2(U_259))
| ~ ssPv4(U_259)
| ~ ssPv2(U_259)
| ~ ssPv2(V_260)
| ~ ssRr(U_259,V_260) ),
inference(resolution,[status(thm)],[c_4,c_575]) ).
tff(c_588,plain,
! [U_2] :
( ssPv4(skf2(U_2))
| ~ ssPv4(U_2)
| ~ ssPv2(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_582]) ).
tff(c_675,plain,
! [U_275,U_276] :
( ssPv3(U_275)
| ~ ssPv4(U_276)
| ~ ssPv3(U_276)
| ~ ssPv4(skf2(U_276))
| ~ ssRr(U_275,U_276) ),
inference(resolution,[status(thm)],[c_4,c_668]) ).
tff(c_4730,plain,
! [U_573,U_574] :
( ssPv3(U_573)
| ~ ssPv3(U_574)
| ~ ssRr(U_573,U_574)
| ~ ssPv4(U_574)
| ~ ssPv2(U_574)
| ~ ssPv2(skf2(U_574)) ),
inference(resolution,[status(thm)],[c_588,c_675]) ).
tff(c_4744,plain,
! [U_578] :
( ssPv3(skf3(U_578))
| ~ ssPv3(U_578)
| ~ ssPv4(U_578)
| ~ ssPv2(U_578)
| ~ ssPv2(skf2(U_578)) ),
inference(resolution,[status(thm)],[c_2,c_4730]) ).
tff(c_1618,plain,
! [U_402,V_403] :
( ssPv4(skf3(U_402))
| ~ ssPv3(skf3(U_402))
| ~ ssPv2(U_402)
| ~ ssPv3(V_403)
| ~ ssRr(skf3(U_402),V_403) ),
inference(resolution,[status(thm)],[c_2,c_313]) ).
tff(c_1635,plain,
! [U_408] :
( ssPv4(skf3(U_408))
| ~ ssPv3(skf3(U_408))
| ~ ssPv2(U_408)
| ~ ssPv3(U_408) ),
inference(resolution,[status(thm)],[c_2,c_1618]) ).
tff(c_1667,plain,
! [U_408] :
( ssPv1(skf3(U_408))
| ssPv1(U_408)
| ~ ssPv3(skf3(U_408))
| ~ ssPv2(U_408)
| ~ ssPv3(U_408) ),
inference(resolution,[status(thm)],[c_1635,c_124]) ).
tff(c_12392,plain,
! [U_847] :
( ssPv1(skf3(U_847))
| ssPv1(U_847)
| ~ ssPv3(U_847)
| ~ ssPv4(U_847)
| ~ ssPv2(U_847)
| ~ ssPv2(skf2(U_847)) ),
inference(resolution,[status(thm)],[c_4744,c_1667]) ).
tff(c_12462,plain,
! [U_2] :
( ssPv1(skf3(U_2))
| ~ ssPv3(U_2)
| ssPv1(U_2)
| ~ ssPv2(U_2)
| ~ ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_10711,c_12392]) ).
tff(c_4735,plain,
! [U_1] :
( ssPv3(skf3(U_1))
| ~ ssPv3(U_1)
| ~ ssPv4(U_1)
| ~ ssPv2(U_1)
| ~ ssPv2(skf2(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_4730]) ).
tff(c_1626,plain,
! [U_1] :
( ssPv4(skf3(U_1))
| ~ ssPv3(skf3(U_1))
| ~ ssPv2(U_1)
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_2,c_1618]) ).
tff(c_1113,plain,
! [U_334,V_335,X_336,W_337] :
( ssPv4(U_334)
| ~ ssPv1(V_335)
| ~ ssPv2(X_336)
| ~ ssRr(V_335,X_336)
| ~ ssPv4(W_337)
| ~ ssRr(V_335,W_337)
| ~ ssRr(U_334,V_335) ),
inference(cnfTransformation,[status(thm)],[f_641]) ).
tff(c_6488,plain,
! [U_658,U_659,W_660] :
( ssPv4(U_658)
| ~ ssPv1(skf3(U_659))
| ~ ssPv2(U_659)
| ~ ssPv4(W_660)
| ~ ssRr(skf3(U_659),W_660)
| ~ ssRr(U_658,skf3(U_659)) ),
inference(resolution,[status(thm)],[c_2,c_1113]) ).
tff(c_6496,plain,
! [U_661,U_662] :
( ssPv4(U_661)
| ~ ssPv1(skf3(U_662))
| ~ ssPv2(U_662)
| ~ ssPv4(U_662)
| ~ ssRr(U_661,skf3(U_662)) ),
inference(resolution,[status(thm)],[c_2,c_6488]) ).
tff(c_6502,plain,
! [U_663] :
( ssPv4(skf3(skf3(U_663)))
| ~ ssPv1(skf3(U_663))
| ~ ssPv2(U_663)
| ~ ssPv4(U_663) ),
inference(resolution,[status(thm)],[c_2,c_6496]) ).
tff(c_723,plain,
! [W_282,V_283,U_284] :
( ssPv1(W_282)
| ~ ssPv4(V_283)
| ~ ssPv1(V_283)
| ~ ssRr(V_283,W_282)
| ~ ssPv4(U_284)
| ~ ssRr(U_284,V_283) ),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_1564,plain,
! [U_391,U_392] :
( ssPv1(U_391)
| ~ ssPv4(skf3(U_391))
| ~ ssPv1(skf3(U_391))
| ~ ssPv4(U_392)
| ~ ssRr(U_392,skf3(U_391)) ),
inference(resolution,[status(thm)],[c_2,c_723]) ).
tff(c_1569,plain,
! [U_391] :
( ssPv1(U_391)
| ~ ssPv4(skf3(U_391))
| ~ ssPv1(skf3(U_391))
| ~ ssPv4(skf3(skf3(U_391))) ),
inference(resolution,[status(thm)],[c_2,c_1564]) ).
tff(c_6559,plain,
! [U_664] :
( ssPv1(U_664)
| ~ ssPv4(skf3(U_664))
| ~ ssPv1(skf3(U_664))
| ~ ssPv2(U_664)
| ~ ssPv4(U_664) ),
inference(resolution,[status(thm)],[c_6502,c_1569]) ).
tff(c_12319,plain,
! [U_846] :
( ssPv1(U_846)
| ~ ssPv1(skf3(U_846))
| ~ ssPv4(U_846)
| ~ ssPv3(skf3(U_846))
| ~ ssPv2(U_846)
| ~ ssPv3(U_846) ),
inference(resolution,[status(thm)],[c_1626,c_6559]) ).
tff(c_12757,plain,
! [U_856] :
( ssPv1(U_856)
| ~ ssPv1(skf3(U_856))
| ~ ssPv3(U_856)
| ~ ssPv4(U_856)
| ~ ssPv2(U_856)
| ~ ssPv2(skf2(U_856)) ),
inference(resolution,[status(thm)],[c_4735,c_12319]) ).
tff(c_12854,plain,
! [U_857] :
( ~ ssPv1(skf3(U_857))
| ~ ssPv3(U_857)
| ssPv1(U_857)
| ~ ssPv2(U_857)
| ~ ssPv4(U_857) ),
inference(resolution,[status(thm)],[c_10711,c_12757]) ).
tff(c_12899,plain,
! [U_858] :
( ~ ssPv3(U_858)
| ssPv1(U_858)
| ~ ssPv2(U_858)
| ~ ssPv4(U_858) ),
inference(resolution,[status(thm)],[c_12462,c_12854]) ).
tff(c_13145,plain,
! [U_861] :
( ssPv1(U_861)
| ~ ssPv3(U_861)
| ~ ssPv2(U_861) ),
inference(resolution,[status(thm)],[c_7023,c_12899]) ).
tff(c_13266,plain,
! [U_560] :
( ssPv1(skf2(U_560))
| ~ ssPv3(U_560)
| ~ ssPv2(skf2(U_560))
| ssPv4(U_560)
| ~ ssPv1(skf3(U_560)) ),
inference(resolution,[status(thm)],[c_4461,c_13145]) ).
tff(c_17916,plain,
! [U_945] :
( ~ ssPv1(skf3(U_945))
| ssPv1(U_945)
| ssPv1(skf2(U_945))
| ssPv4(U_945)
| ~ ssPv3(U_945) ),
inference(resolution,[status(thm)],[c_17841,c_13266]) ).
tff(c_18008,plain,
! [U_947] :
( ssPv1(U_947)
| ssPv2(U_947)
| ssPv1(skf2(U_947))
| ssPv4(U_947)
| ~ ssPv3(U_947) ),
inference(resolution,[status(thm)],[c_16571,c_17916]) ).
tff(c_3612,plain,
! [U_2] :
( ssPv2(U_2)
| ssPv3(skf2(U_2))
| ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_3529,c_105]) ).
tff(c_16587,plain,
! [U_924] :
( ssPv1(skf3(U_924))
| ssPv2(U_924)
| ssPv1(skf2(U_924))
| ssPv4(U_924)
| ~ ssPv3(U_924) ),
inference(resolution,[status(thm)],[c_16515,c_11430]) ).
tff(c_4232,plain,
! [U_547,U_548] :
( ~ ssPv1(U_547)
| ~ ssPv1(U_548)
| ~ ssRr(U_548,U_547)
| ssPv1(skf2(U_547))
| ssPv2(skf2(U_547)) ),
inference(resolution,[status(thm)],[c_3598,c_3736]) ).
tff(c_4237,plain,
! [U_1] :
( ~ ssPv1(U_1)
| ~ ssPv1(skf3(U_1))
| ssPv1(skf2(U_1))
| ssPv2(skf2(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_4232]) ).
tff(c_181,plain,
! [U_166,V_167] :
( ssPv4(U_166)
| ssPv4(skf2(U_166))
| ~ ssPv1(U_166)
| ~ ssPv2(V_167)
| ~ ssRr(U_166,V_167) ),
inference(resolution,[status(thm)],[c_4,c_166]) ).
tff(c_187,plain,
! [U_2] :
( ssPv4(U_2)
| ssPv4(skf2(U_2))
| ~ ssPv1(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_181]) ).
tff(c_1083,plain,
! [U_2] :
( ssPv3(skf2(U_2))
| ~ ssPv3(U_2)
| ssPv4(U_2)
| ~ ssPv1(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_187,c_1040]) ).
tff(c_13392,plain,
! [U_865] :
( ssPv1(skf2(U_865))
| ~ ssPv3(U_865)
| ssPv4(U_865)
| ~ ssPv1(U_865)
| ~ ssPv2(skf2(U_865)) ),
inference(resolution,[status(thm)],[c_1083,c_13145]) ).
tff(c_13476,plain,
! [U_1] :
( ~ ssPv3(U_1)
| ssPv4(U_1)
| ~ ssPv1(U_1)
| ~ ssPv1(skf3(U_1))
| ssPv1(skf2(U_1)) ),
inference(resolution,[status(thm)],[c_4237,c_13392]) ).
tff(c_16648,plain,
! [U_925] :
( ~ ssPv1(U_925)
| ssPv2(U_925)
| ssPv1(skf2(U_925))
| ssPv4(U_925)
| ~ ssPv3(U_925) ),
inference(resolution,[status(thm)],[c_16587,c_13476]) ).
tff(c_615,plain,
! [W_263,U_264,V_265] :
( ssPv2(W_263)
| ssPv4(U_264)
| ~ ssPv4(V_265)
| ~ ssPv1(V_265)
| ~ ssRr(W_263,V_265)
| ~ ssRr(U_264,V_265) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_879,plain,
! [U_308,U_309] :
( ssPv2(U_308)
| ssPv4(U_309)
| ~ ssPv4(skf2(U_308))
| ~ ssPv1(skf2(U_308))
| ~ ssRr(U_309,skf2(U_308)) ),
inference(resolution,[status(thm)],[c_4,c_615]) ).
tff(c_896,plain,
! [U_314] :
( ssPv2(U_314)
| ssPv4(U_314)
| ~ ssPv4(skf2(U_314))
| ~ ssPv1(skf2(U_314)) ),
inference(resolution,[status(thm)],[c_4,c_879]) ).
tff(c_935,plain,
! [U_1] :
( ssPv2(U_1)
| ~ ssPv1(skf2(U_1))
| ssPv4(U_1)
| ssPv2(skf3(U_1))
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_311,c_896]) ).
tff(c_11449,plain,
! [U_824] :
( ssPv1(skf3(U_824))
| ~ ssPv2(skf3(U_824))
| ssPv2(U_824)
| ssPv4(U_824) ),
inference(resolution,[status(thm)],[c_11372,c_10899]) ).
tff(c_11602,plain,
! [U_828] :
( ssPv1(skf3(U_828))
| ssPv2(U_828)
| ~ ssPv1(skf2(U_828))
| ssPv4(U_828)
| ~ ssPv3(U_828) ),
inference(resolution,[status(thm)],[c_935,c_11449]) ).
tff(c_282,plain,
! [U_195,U_196] :
( ssPv2(U_195)
| ssPv3(skf3(U_195))
| ~ ssPv4(U_195)
| ~ ssPv1(U_196)
| ~ ssRr(U_196,U_195) ),
inference(resolution,[status(thm)],[c_2,c_275]) ).
tff(c_288,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv3(skf3(skf2(U_2)))
| ~ ssPv4(skf2(U_2))
| ~ ssPv1(U_2) ),
inference(resolution,[status(thm)],[c_4,c_282]) ).
tff(c_1120,plain,
! [U_338] :
( ssPv3(skf2(U_338))
| ssPv4(U_338)
| ~ ssPv4(skf2(U_338))
| ~ ssPv3(skf3(skf2(U_338))) ),
inference(resolution,[status(thm)],[c_2,c_1023]) ).
tff(c_1161,plain,
! [U_341] :
( ssPv3(skf2(U_341))
| ssPv4(U_341)
| ssPv2(skf2(U_341))
| ~ ssPv4(skf2(U_341))
| ~ ssPv1(U_341) ),
inference(resolution,[status(thm)],[c_288,c_1120]) ).
tff(c_1205,plain,
! [U_2] :
( ~ ssPv1(U_2)
| ssPv3(skf2(U_2))
| ssPv2(skf2(U_2))
| ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_134,c_1161]) ).
tff(c_3777,plain,
! [U_517,U_518] :
( ~ ssPv1(U_517)
| ~ ssRr(U_517,U_518)
| ~ ssPv1(U_518)
| ssPv2(skf2(U_518))
| ssPv4(U_518) ),
inference(resolution,[status(thm)],[c_1205,c_3736]) ).
tff(c_3784,plain,
! [U_519] :
( ~ ssPv1(skf3(U_519))
| ~ ssPv1(U_519)
| ssPv2(skf2(U_519))
| ssPv4(U_519) ),
inference(resolution,[status(thm)],[c_2,c_3777]) ).
tff(c_939,plain,
! [U_2] :
( ssPv2(U_2)
| ~ ssPv1(skf2(U_2))
| ssPv4(U_2)
| ~ ssPv1(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_187,c_896]) ).
tff(c_3810,plain,
! [U_519] :
( ssPv2(U_519)
| ~ ssPv1(skf2(U_519))
| ~ ssPv1(skf3(U_519))
| ~ ssPv1(U_519)
| ssPv4(U_519) ),
inference(resolution,[status(thm)],[c_3784,c_939]) ).
tff(c_11646,plain,
! [U_828] :
( ~ ssPv1(U_828)
| ssPv2(U_828)
| ~ ssPv1(skf2(U_828))
| ssPv4(U_828)
| ~ ssPv3(U_828) ),
inference(resolution,[status(thm)],[c_11602,c_3810]) ).
tff(c_16659,plain,
! [U_926] :
( ~ ssPv1(U_926)
| ssPv2(U_926)
| ssPv4(U_926)
| ~ ssPv3(U_926) ),
inference(resolution,[status(thm)],[c_16648,c_11646]) ).
tff(c_95,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv2(U_2)
| ~ ssPv4(skf2(U_2))
| ~ ssPv1(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_87]) ).
tff(c_16836,plain,
! [U_927] :
( ssPv2(U_927)
| ~ ssPv1(skf2(U_927))
| ssPv2(skf2(U_927))
| ~ ssPv3(skf2(U_927)) ),
inference(resolution,[status(thm)],[c_16659,c_95]) ).
tff(c_16913,plain,
! [U_928] :
( ~ ssPv1(skf2(U_928))
| ssPv2(U_928)
| ssPv2(skf2(U_928)) ),
inference(resolution,[status(thm)],[c_3612,c_16836]) ).
tff(c_3525,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv3(U_1)
| ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_471,c_3496]) ).
tff(c_8079,plain,
! [U_713] :
( ssPv3(skf3(U_713))
| ssPv2(U_713)
| ssPv4(U_713)
| ssPv1(skf3(skf3(U_713))) ),
inference(resolution,[status(thm)],[c_2,c_8073]) ).
tff(c_287,plain,
! [U_1] :
( ssPv2(U_1)
| ssPv3(skf3(U_1))
| ~ ssPv4(U_1)
| ~ ssPv1(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_282]) ).
tff(c_1488,plain,
! [U_377] :
( ssPv2(U_377)
| ~ ssPv2(skf3(U_377))
| ssPv3(U_377)
| ~ ssPv4(U_377)
| ~ ssPv3(skf3(U_377)) ),
inference(resolution,[status(thm)],[c_360,c_1459]) ).
tff(c_1516,plain,
! [U_382] :
( ~ ssPv2(skf3(U_382))
| ssPv3(U_382)
| ssPv2(U_382)
| ~ ssPv4(U_382)
| ~ ssPv1(skf3(U_382)) ),
inference(resolution,[status(thm)],[c_287,c_1488]) ).
tff(c_1539,plain,
! [U_1] :
( ~ ssPv1(skf3(U_1))
| ssPv3(U_1)
| ssPv2(U_1)
| ~ ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_104,c_1516]) ).
tff(c_8104,plain,
! [U_714] :
( ssPv2(skf3(U_714))
| ~ ssPv4(skf3(U_714))
| ssPv3(skf3(U_714))
| ssPv2(U_714)
| ssPv4(U_714) ),
inference(resolution,[status(thm)],[c_8079,c_1539]) ).
tff(c_8225,plain,
! [U_717] :
( ssPv2(U_717)
| ssPv4(U_717)
| ssPv3(skf3(U_717))
| ssPv2(skf3(U_717)) ),
inference(resolution,[status(thm)],[c_3525,c_8104]) ).
tff(c_888,plain,
! [U_2] :
( ssPv2(U_2)
| ssPv4(U_2)
| ~ ssPv4(skf2(U_2))
| ~ ssPv1(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_879]) ).
tff(c_3199,plain,
! [U_493] :
( ssPv2(U_493)
| ~ ssPv1(skf2(U_493))
| ssPv4(U_493)
| ~ ssPv2(skf2(U_493))
| ~ ssPv3(skf3(U_493)) ),
inference(resolution,[status(thm)],[c_3164,c_888]) ).
tff(c_8282,plain,
! [U_717] :
( ~ ssPv1(skf2(U_717))
| ~ ssPv2(skf2(U_717))
| ssPv2(U_717)
| ssPv4(U_717)
| ssPv2(skf3(U_717)) ),
inference(resolution,[status(thm)],[c_8225,c_3199]) ).
tff(c_11511,plain,
! [U_717] :
( ssPv1(skf3(U_717))
| ~ ssPv1(skf2(U_717))
| ~ ssPv2(skf2(U_717))
| ssPv2(U_717)
| ssPv4(U_717) ),
inference(resolution,[status(thm)],[c_8282,c_11449]) ).
tff(c_17182,plain,
! [U_933] :
( ssPv1(skf3(U_933))
| ssPv4(U_933)
| ~ ssPv1(skf2(U_933))
| ssPv2(U_933) ),
inference(resolution,[status(thm)],[c_16913,c_11511]) ).
tff(c_4460,plain,
! [U_560] :
( ssPv2(U_560)
| ~ ssPv1(skf2(U_560))
| ~ ssPv2(skf2(U_560))
| ssPv4(U_560)
| ~ ssPv1(skf3(U_560)) ),
inference(resolution,[status(thm)],[c_4423,c_3199]) ).
tff(c_16989,plain,
! [U_928] :
( ssPv4(U_928)
| ~ ssPv1(skf3(U_928))
| ~ ssPv1(skf2(U_928))
| ssPv2(U_928) ),
inference(resolution,[status(thm)],[c_16913,c_4460]) ).
tff(c_17228,plain,
! [U_933] :
( ssPv4(U_933)
| ~ ssPv1(skf2(U_933))
| ssPv2(U_933) ),
inference(resolution,[status(thm)],[c_17182,c_16989]) ).
tff(c_18019,plain,
! [U_948] :
( ssPv1(U_948)
| ssPv2(U_948)
| ssPv4(U_948)
| ~ ssPv3(U_948) ),
inference(resolution,[status(thm)],[c_18008,c_17228]) ).
tff(c_14778,plain,
! [U_903] :
( ~ ssPv3(skf3(U_903))
| ssPv1(U_903)
| ~ ssPv3(U_903)
| ~ ssPv4(U_903) ),
inference(resolution,[status(thm)],[c_2,c_14769]) ).
tff(c_15377,plain,
! [U_911] :
( ssPv1(U_911)
| ~ ssPv3(U_911)
| ssPv2(U_911)
| ~ ssPv4(U_911)
| ~ ssPv1(skf3(U_911)) ),
inference(resolution,[status(thm)],[c_287,c_14778]) ).
tff(c_15412,plain,
! [U_749] :
( ssPv2(U_749)
| ssPv1(U_749)
| ~ ssPv3(U_749)
| ~ ssPv4(U_749) ),
inference(resolution,[status(thm)],[c_9336,c_15377]) ).
tff(c_18192,plain,
! [U_949] :
( ssPv1(U_949)
| ssPv2(U_949)
| ~ ssPv3(U_949) ),
inference(resolution,[status(thm)],[c_18019,c_15412]) ).
tff(c_18345,plain,
! [U_950] :
( ssPv1(U_950)
| ssPv2(U_950) ),
inference(resolution,[status(thm)],[c_3598,c_18192]) ).
tff(c_18471,plain,
! [U_823] :
( ssPv2(U_823)
| ssPv4(U_823)
| ssPv1(skf3(U_823)) ),
inference(resolution,[status(thm)],[c_18345,c_11430]) ).
tff(c_2451,plain,
! [U_450] :
( ssPv3(skf2(U_450))
| ssPv2(U_450)
| ssPv3(skf3(skf2(U_450)))
| ~ ssPv2(skf2(U_450)) ),
inference(resolution,[status(thm)],[c_2,c_2423]) ).
tff(c_1031,plain,
! [U_325] :
( ssPv3(skf2(U_325))
| ssPv4(U_325)
| ~ ssPv4(skf2(U_325))
| ~ ssPv3(skf3(skf2(U_325))) ),
inference(resolution,[status(thm)],[c_2,c_1023]) ).
tff(c_2476,plain,
! [U_450] :
( ssPv4(U_450)
| ~ ssPv4(skf2(U_450))
| ssPv3(skf2(U_450))
| ssPv2(U_450)
| ~ ssPv2(skf2(U_450)) ),
inference(resolution,[status(thm)],[c_2451,c_1031]) ).
tff(c_3194,plain,
! [U_493] :
( ssPv3(skf2(U_493))
| ssPv2(U_493)
| ssPv4(U_493)
| ~ ssPv2(skf2(U_493))
| ~ ssPv3(skf3(U_493)) ),
inference(resolution,[status(thm)],[c_3164,c_2476]) ).
tff(c_4462,plain,
! [U_560] :
( ssPv3(skf2(U_560))
| ssPv2(U_560)
| ~ ssPv2(skf2(U_560))
| ssPv4(U_560)
| ~ ssPv1(skf3(U_560)) ),
inference(resolution,[status(thm)],[c_4423,c_3194]) ).
tff(c_13265,plain,
! [U_560] :
( ssPv1(skf2(U_560))
| ssPv2(U_560)
| ~ ssPv2(skf2(U_560))
| ssPv4(U_560)
| ~ ssPv1(skf3(U_560)) ),
inference(resolution,[status(thm)],[c_4462,c_13145]) ).
tff(c_19539,plain,
! [U_971] :
( ssPv2(U_971)
| ssPv4(U_971)
| ~ ssPv1(skf3(U_971))
| ssPv1(skf2(U_971)) ),
inference(resolution,[status(thm)],[c_18345,c_13265]) ).
tff(c_19591,plain,
! [U_973] :
( ssPv1(skf2(U_973))
| ssPv2(U_973)
| ssPv4(U_973) ),
inference(resolution,[status(thm)],[c_18471,c_19539]) ).
tff(c_19599,plain,
! [U_973] :
( ssPv2(U_973)
| ssPv4(U_973) ),
inference(resolution,[status(thm)],[c_19591,c_17228]) ).
tff(c_18326,plain,
! [U_508] :
( ssPv1(U_508)
| ssPv2(U_508) ),
inference(resolution,[status(thm)],[c_3598,c_18192]) ).
tff(c_392,plain,
! [U_222,W_223,V_224] :
( ssPv4(U_222)
| ssPv3(U_222)
| ssPv3(W_223)
| ssPv4(V_224)
| ~ ssRr(U_222,W_223)
| ~ ssRr(U_222,V_224) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_1912,plain,
! [U_428,V_429] :
( ssPv4(skf3(U_428))
| ssPv3(skf3(U_428))
| ssPv3(U_428)
| ssPv4(V_429)
| ~ ssRr(skf3(U_428),V_429) ),
inference(resolution,[status(thm)],[c_2,c_392]) ).
tff(c_1920,plain,
! [U_1] :
( ssPv4(skf3(U_1))
| ssPv3(skf3(U_1))
| ssPv3(U_1)
| ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_2,c_1912]) ).
tff(c_11152,plain,
! [U_819] :
( ssPv1(skf3(U_819))
| ~ ssPv2(skf3(U_819))
| ssPv3(skf3(U_819))
| ssPv3(U_819)
| ssPv4(U_819) ),
inference(resolution,[status(thm)],[c_1920,c_10825]) ).
tff(c_11210,plain,
! [U_819] :
( ssPv1(skf3(U_819))
| ~ ssPv2(skf3(U_819))
| ssPv3(U_819)
| ssPv4(U_819) ),
inference(resolution,[status(thm)],[c_11152,c_10899]) ).
tff(c_18505,plain,
! [U_952] :
( ssPv3(U_952)
| ssPv4(U_952)
| ssPv1(skf3(U_952)) ),
inference(resolution,[status(thm)],[c_18345,c_11210]) ).
tff(c_10289,plain,
! [U_789] :
( ssPv3(U_789)
| ssPv4(U_789)
| ~ ssPv1(skf3(U_789))
| ~ ssPv2(U_789) ),
inference(resolution,[status(thm)],[c_10235,c_1854]) ).
tff(c_18566,plain,
! [U_953] :
( ~ ssPv2(U_953)
| ssPv3(U_953)
| ssPv4(U_953) ),
inference(resolution,[status(thm)],[c_18505,c_10289]) ).
tff(c_10744,plain,
! [U_298] :
( ssPv4(U_298)
| ssPv1(skf3(U_298))
| ~ ssPv2(skf3(U_298))
| ~ ssPv4(skf3(U_298)) ),
inference(resolution,[status(thm)],[c_10712,c_804]) ).
tff(c_21688,plain,
! [U_1014] :
( ssPv4(U_1014)
| ssPv1(skf3(U_1014))
| ~ ssPv2(skf3(U_1014))
| ssPv3(skf3(U_1014)) ),
inference(resolution,[status(thm)],[c_18566,c_10744]) ).
tff(c_13043,plain,
! [U_1] :
( ssPv1(U_1)
| ~ ssPv3(U_1)
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_7023,c_12899]) ).
tff(c_21749,plain,
! [U_1015] :
( ssPv4(U_1015)
| ssPv1(skf3(U_1015))
| ~ ssPv2(skf3(U_1015)) ),
inference(resolution,[status(thm)],[c_21688,c_13043]) ).
tff(c_21803,plain,
! [U_1015] :
( ssPv4(U_1015)
| ssPv1(skf3(U_1015)) ),
inference(resolution,[status(thm)],[c_18326,c_21749]) ).
tff(c_21818,plain,
! [U_1016] :
( ssPv4(U_1016)
| ssPv1(skf3(U_1016)) ),
inference(resolution,[status(thm)],[c_18326,c_21749]) ).
tff(c_1817,plain,
! [U_419] :
( ssPv4(skf3(U_419))
| ssPv4(U_419)
| ~ ssPv1(skf3(U_419))
| ~ ssPv2(skf2(skf3(U_419))) ),
inference(resolution,[status(thm)],[c_4,c_1808]) ).
tff(c_3808,plain,
! [U_419] :
( ssPv4(U_419)
| ~ ssPv1(skf3(skf3(U_419)))
| ~ ssPv1(skf3(U_419))
| ssPv4(skf3(U_419)) ),
inference(resolution,[status(thm)],[c_3784,c_1817]) ).
tff(c_21900,plain,
! [U_1018] :
( ssPv4(U_1018)
| ~ ssPv1(skf3(U_1018))
| ssPv4(skf3(U_1018)) ),
inference(resolution,[status(thm)],[c_21818,c_3808]) ).
tff(c_622,plain,
! [U_266,U_267] :
( ssPv2(skf3(U_266))
| ssPv4(U_267)
| ~ ssPv4(U_266)
| ~ ssPv1(U_266)
| ~ ssRr(U_267,U_266) ),
inference(resolution,[status(thm)],[c_2,c_615]) ).
tff(c_627,plain,
! [U_1] :
( ssPv2(skf3(U_1))
| ssPv4(skf3(U_1))
| ~ ssPv4(U_1)
| ~ ssPv1(U_1) ),
inference(resolution,[status(thm)],[c_2,c_622]) ).
tff(c_1570,plain,
! [U_393] :
( ssPv1(U_393)
| ~ ssPv4(skf3(U_393))
| ~ ssPv1(skf3(U_393))
| ~ ssPv4(skf3(skf3(U_393))) ),
inference(resolution,[status(thm)],[c_2,c_1564]) ).
tff(c_1584,plain,
! [U_393] :
( ssPv1(U_393)
| ssPv2(skf3(skf3(U_393)))
| ~ ssPv4(skf3(U_393))
| ~ ssPv1(skf3(U_393)) ),
inference(resolution,[status(thm)],[c_627,c_1570]) ).
tff(c_9966,plain,
! [U_393] :
( ssPv3(U_393)
| ssPv4(U_393)
| ssPv1(U_393)
| ~ ssPv4(skf3(U_393))
| ~ ssPv1(skf3(U_393)) ),
inference(resolution,[status(thm)],[c_1584,c_9906]) ).
tff(c_21998,plain,
! [U_1020] :
( ssPv3(U_1020)
| ssPv1(U_1020)
| ssPv4(U_1020)
| ~ ssPv1(skf3(U_1020)) ),
inference(resolution,[status(thm)],[c_21900,c_9966]) ).
tff(c_22031,plain,
! [U_1021] :
( ssPv3(U_1021)
| ssPv1(U_1021)
| ssPv4(U_1021) ),
inference(resolution,[status(thm)],[c_21803,c_21998]) ).
tff(c_2820,plain,
! [U_466,W_467,U_468] :
( ssPv2(U_466)
| ssPv1(skf3(U_466))
| ~ ssPv2(W_467)
| ~ ssRr(W_467,U_466)
| ~ ssPv4(U_468)
| ~ ssRr(U_468,U_466) ),
inference(resolution,[status(thm)],[c_2,c_1628]) ).
tff(c_2825,plain,
! [U_1,U_468] :
( ssPv2(U_1)
| ssPv1(skf3(U_1))
| ~ ssPv2(skf3(U_1))
| ~ ssPv4(U_468)
| ~ ssRr(U_468,U_1) ),
inference(resolution,[status(thm)],[c_2,c_2820]) ).
tff(c_19928,plain,
! [U_979,U_980] :
( ssPv2(U_979)
| ~ ssPv4(U_980)
| ~ ssRr(U_980,U_979)
| ssPv1(skf3(U_979)) ),
inference(resolution,[status(thm)],[c_18345,c_2825]) ).
tff(c_19933,plain,
! [U_1] :
( ssPv2(U_1)
| ~ ssPv4(skf3(U_1))
| ssPv1(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_19928]) ).
tff(c_22120,plain,
! [U_1022] :
( ssPv2(U_1022)
| ssPv3(skf3(U_1022))
| ssPv1(skf3(U_1022)) ),
inference(resolution,[status(thm)],[c_22031,c_19933]) ).
tff(c_22216,plain,
! [U_1024] :
( ~ ssPv2(skf3(U_1024))
| ssPv2(U_1024)
| ssPv1(skf3(U_1024)) ),
inference(resolution,[status(thm)],[c_22120,c_13043]) ).
tff(c_22270,plain,
! [U_1024] :
( ssPv2(U_1024)
| ssPv1(skf3(U_1024)) ),
inference(resolution,[status(thm)],[c_18326,c_22216]) ).
tff(c_22285,plain,
! [U_1025] :
( ssPv2(U_1025)
| ssPv1(skf3(U_1025)) ),
inference(resolution,[status(thm)],[c_18326,c_22216]) ).
tff(c_4419,plain,
! [U_559] :
( ssPv4(U_559)
| ~ ssPv1(skf3(U_559))
| ssPv3(skf3(U_559)) ),
inference(resolution,[status(thm)],[c_4402,c_3970]) ).
tff(c_9378,plain,
! [U_751,W_752,U_753] :
( ssPv4(skf3(U_751))
| ssPv4(U_751)
| ~ ssPv2(W_752)
| ~ ssRr(skf3(U_751),W_752)
| ~ ssPv3(U_753)
| ~ ssRr(U_753,skf3(U_751)) ),
inference(resolution,[status(thm)],[c_2,c_1220]) ).
tff(c_9386,plain,
! [U_754,U_755] :
( ssPv4(skf3(U_754))
| ssPv4(U_754)
| ~ ssPv2(U_754)
| ~ ssPv3(U_755)
| ~ ssRr(U_755,skf3(U_754)) ),
inference(resolution,[status(thm)],[c_2,c_9378]) ).
tff(c_9392,plain,
! [U_756] :
( ssPv4(skf3(U_756))
| ssPv4(U_756)
| ~ ssPv2(U_756)
| ~ ssPv3(skf3(skf3(U_756))) ),
inference(resolution,[status(thm)],[c_2,c_9386]) ).
tff(c_9440,plain,
! [U_756] :
( ssPv4(U_756)
| ~ ssPv2(U_756)
| ssPv4(skf3(U_756))
| ~ ssPv1(skf3(skf3(U_756))) ),
inference(resolution,[status(thm)],[c_4419,c_9392]) ).
tff(c_20037,plain,
! [U_983] :
( ssPv4(U_983)
| ~ ssPv2(U_983)
| ssPv3(skf3(U_983))
| ssPv4(skf3(U_983)) ),
inference(resolution,[status(thm)],[c_18505,c_9440]) ).
tff(c_20188,plain,
! [U_986] :
( ~ ssPv2(skf3(U_986))
| ssPv4(U_986)
| ~ ssPv2(U_986)
| ssPv3(skf3(U_986)) ),
inference(resolution,[status(thm)],[c_20037,c_803]) ).
tff(c_1664,plain,
! [U_408] :
( ssPv4(U_408)
| ~ ssPv2(skf3(U_408))
| ~ ssPv3(skf3(U_408))
| ~ ssPv2(U_408)
| ~ ssPv3(U_408) ),
inference(resolution,[status(thm)],[c_1635,c_803]) ).
tff(c_20257,plain,
! [U_987] :
( ~ ssPv3(U_987)
| ~ ssPv2(skf3(U_987))
| ssPv4(U_987)
| ~ ssPv2(U_987) ),
inference(resolution,[status(thm)],[c_20188,c_1664]) ).
tff(c_20326,plain,
! [U_988] :
( ~ ssPv3(U_988)
| ssPv4(U_988)
| ~ ssPv2(U_988)
| ssPv1(skf3(U_988)) ),
inference(resolution,[status(thm)],[c_18326,c_20257]) ).
tff(c_7005,plain,
! [U_679] :
( ~ ssPv1(skf3(U_679))
| ~ ssPv2(U_679)
| ssPv4(U_679)
| ~ ssPv3(U_679) ),
inference(resolution,[status(thm)],[c_6967,c_1854]) ).
tff(c_20375,plain,
! [U_989] :
( ~ ssPv3(U_989)
| ssPv4(U_989)
| ~ ssPv2(U_989) ),
inference(resolution,[status(thm)],[c_20326,c_7005]) ).
tff(c_1455,plain,
! [U_375] :
( ssPv2(U_375)
| ~ ssPv2(skf3(U_375))
| ~ ssPv4(skf3(U_375))
| ~ ssPv3(skf3(U_375))
| ~ ssPv4(U_375) ),
inference(resolution,[status(thm)],[c_1442,c_785]) ).
tff(c_21376,plain,
! [U_1005] :
( ssPv2(U_1005)
| ~ ssPv4(U_1005)
| ~ ssPv3(skf3(U_1005))
| ~ ssPv2(skf3(U_1005)) ),
inference(resolution,[status(thm)],[c_20375,c_1455]) ).
tff(c_21475,plain,
! [U_1007] :
( ~ ssPv2(skf3(U_1007))
| ssPv2(U_1007)
| ~ ssPv4(U_1007)
| ~ ssPv1(skf3(U_1007)) ),
inference(resolution,[status(thm)],[c_287,c_21376]) ).
tff(c_21543,plain,
! [U_1] :
( ~ ssPv1(skf3(U_1))
| ssPv2(U_1)
| ~ ssPv4(U_1)
| ~ ssPv1(U_1) ),
inference(resolution,[status(thm)],[c_94,c_21475]) ).
tff(c_22310,plain,
! [U_1026] :
( ~ ssPv4(U_1026)
| ~ ssPv1(U_1026)
| ssPv2(U_1026) ),
inference(resolution,[status(thm)],[c_22285,c_21543]) ).
tff(c_22463,plain,
! [U_1027] :
( ~ ssPv1(U_1027)
| ssPv2(U_1027) ),
inference(resolution,[status(thm)],[c_19599,c_22310]) ).
tff(c_21427,plain,
! [U_1] :
( ~ ssPv2(skf3(U_1))
| ssPv2(U_1)
| ~ ssPv4(U_1)
| ~ ssPv1(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_287,c_21376]) ).
tff(c_23020,plain,
! [U_1034] :
( ssPv2(U_1034)
| ~ ssPv4(U_1034)
| ~ ssPv1(skf3(U_1034)) ),
inference(resolution,[status(thm)],[c_22463,c_21427]) ).
tff(c_23045,plain,
! [U_1035] :
( ~ ssPv4(U_1035)
| ssPv2(U_1035) ),
inference(resolution,[status(thm)],[c_22270,c_23020]) ).
tff(c_23137,plain,
! [U_973] : ssPv2(U_973),
inference(resolution,[status(thm)],[c_19599,c_23045]) ).
tff(c_587,plain,
! [U_1] :
( ssPv4(skf2(skf3(U_1)))
| ~ ssPv4(skf3(U_1))
| ~ ssPv2(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_582]) ).
tff(c_2116,plain,
! [U_436] :
( ssPv3(skf3(U_436))
| ssPv1(U_436)
| ~ ssPv2(skf3(U_436))
| ~ ssPv4(skf2(skf3(U_436))) ),
inference(resolution,[status(thm)],[c_4,c_1955]) ).
tff(c_2148,plain,
! [U_1] :
( ssPv3(skf3(U_1))
| ssPv1(U_1)
| ~ ssPv4(skf3(U_1))
| ~ ssPv2(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_587,c_2116]) ).
tff(c_20681,plain,
! [U_993] :
( ssPv1(U_993)
| ~ ssPv2(U_993)
| ~ ssPv2(skf3(U_993))
| ssPv3(skf3(U_993)) ),
inference(resolution,[status(thm)],[c_18566,c_2148]) ).
tff(c_20735,plain,
! [U_993] :
( ssPv1(skf3(U_993))
| ssPv1(U_993)
| ~ ssPv2(U_993)
| ~ ssPv2(skf3(U_993)) ),
inference(resolution,[status(thm)],[c_20681,c_13043]) ).
tff(c_23177,plain,
! [U_993] :
( ssPv1(skf3(U_993))
| ssPv1(U_993) ),
inference(demodulation,[status(thm),theory(equality)],[c_23137,c_23137,c_20735]) ).
tff(c_20879,plain,
! [U_997] :
( ssPv1(skf3(U_997))
| ~ ssPv2(skf3(U_997))
| ssPv4(U_997)
| ~ ssPv2(U_997) ),
inference(resolution,[status(thm)],[c_20188,c_13043]) ).
tff(c_20948,plain,
! [U_998] :
( ssPv4(U_998)
| ~ ssPv2(U_998)
| ssPv1(skf3(U_998)) ),
inference(resolution,[status(thm)],[c_18326,c_20879]) ).
tff(c_21246,plain,
! [U_1003] :
( ssPv4(U_1003)
| ~ ssPv2(U_1003)
| ssPv4(skf3(U_1003))
| ~ ssPv2(skf3(U_1003)) ),
inference(resolution,[status(thm)],[c_20948,c_9440]) ).
tff(c_21304,plain,
! [U_1003] :
( ssPv4(U_1003)
| ~ ssPv2(U_1003)
| ~ ssPv2(skf3(U_1003)) ),
inference(resolution,[status(thm)],[c_21246,c_803]) ).
tff(c_22922,plain,
! [U_1032] :
( ssPv4(U_1032)
| ~ ssPv2(U_1032)
| ~ ssPv1(skf3(U_1032)) ),
inference(resolution,[status(thm)],[c_22463,c_21304]) ).
tff(c_22942,plain,
! [U_1015] :
( ~ ssPv2(U_1015)
| ssPv4(U_1015) ),
inference(resolution,[status(thm)],[c_21803,c_22922]) ).
tff(c_23164,plain,
! [U_1015] : ssPv4(U_1015),
inference(demodulation,[status(thm),theory(equality)],[c_23137,c_22942]) ).
tff(c_23626,plain,
! [U_1044] :
( ssPv1(U_1044)
| ~ ssPv1(skf3(U_1044)) ),
inference(demodulation,[status(thm),theory(equality)],[c_23164,c_23164,c_1569]) ).
tff(c_23630,plain,
! [U_993] : ssPv1(U_993),
inference(resolution,[status(thm)],[c_23177,c_23626]) ).
tff(c_1767,plain,
! [V_413,X_414,W_415,U_416] :
( ~ ssPv1(V_413)
| ~ ssPv1(X_414)
| ~ ssRr(V_413,X_414)
| ~ ssPv2(W_415)
| ~ ssRr(V_413,W_415)
| ~ ssPv2(U_416)
| ~ ssRr(U_416,V_413) ),
inference(cnfTransformation,[status(thm)],[f_683]) ).
tff(c_6186,plain,
! [U_644,W_645,U_646] :
( ~ ssPv1(skf3(U_644))
| ~ ssPv1(U_644)
| ~ ssPv2(W_645)
| ~ ssRr(skf3(U_644),W_645)
| ~ ssPv2(U_646)
| ~ ssRr(U_646,skf3(U_644)) ),
inference(resolution,[status(thm)],[c_2,c_1767]) ).
tff(c_6194,plain,
! [U_647,U_648] :
( ~ ssPv1(skf3(U_647))
| ~ ssPv1(U_647)
| ~ ssPv2(U_647)
| ~ ssPv2(U_648)
| ~ ssRr(U_648,skf3(U_647)) ),
inference(resolution,[status(thm)],[c_2,c_6186]) ).
tff(c_6199,plain,
! [U_647] :
( ~ ssPv1(skf3(U_647))
| ~ ssPv1(U_647)
| ~ ssPv2(U_647)
| ~ ssPv2(skf3(skf3(U_647))) ),
inference(resolution,[status(thm)],[c_2,c_6194]) ).
tff(c_23301,plain,
! [U_647] :
( ~ ssPv1(skf3(U_647))
| ~ ssPv1(U_647) ),
inference(demodulation,[status(thm),theory(equality)],[c_23137,c_23137,c_6199]) ).
tff(c_23650,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23630,c_23630,c_23301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN784-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n023.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:36:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 15.37/6.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.81/6.11
% 15.81/6.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.14/6.18
% 16.14/6.18 Inference rules
% 16.14/6.18 ----------------------
% 16.14/6.18 #Ref : 0
% 16.14/6.18 #Sup : 5780
% 16.14/6.18 #Fact : 0
% 16.14/6.18 #Define : 0
% 16.14/6.18 #Split : 0
% 16.14/6.18 #Chain : 0
% 16.14/6.18 #Close : 0
% 16.14/6.18
% 16.14/6.18 Ordering : KBO
% 16.14/6.18
% 16.14/6.18 Simplification rules
% 16.14/6.18 ----------------------
% 16.14/6.18 #Subsume : 2740
% 16.14/6.18 #Demod : 373
% 16.14/6.18 #Tautology : 1614
% 16.14/6.18 #SimpNegUnit : 0
% 16.14/6.18 #BackRed : 132
% 16.14/6.18
% 16.14/6.18 #Partial instantiations: 0
% 16.14/6.18 #Strategies tried : 1
% 16.14/6.18
% 16.14/6.18 Timing (in seconds)
% 16.14/6.18 ----------------------
% 16.14/6.19 Preprocessing : 0.57
% 16.14/6.19 Parsing : 0.32
% 16.14/6.19 CNF conversion : 0.04
% 16.14/6.19 Main loop : 4.45
% 16.14/6.19 Inferencing : 1.25
% 16.14/6.19 Reduction : 0.66
% 16.14/6.19 Demodulation : 0.42
% 16.14/6.19 BG Simplification : 0.08
% 16.14/6.19 Subsumption : 2.22
% 16.14/6.19 Abstraction : 0.07
% 16.14/6.19 MUC search : 0.00
% 16.14/6.19 Cooper : 0.00
% 16.14/6.19 Total : 5.17
% 16.14/6.19 Index Insertion : 0.00
% 16.14/6.19 Index Deletion : 0.00
% 16.14/6.19 Index Matching : 0.00
% 16.14/6.19 BG Taut test : 0.00
%------------------------------------------------------------------------------