TSTP Solution File: SYN796-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN796-1 : 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/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 : n015.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 11:12:26 EDT 2023
% Result : Unsatisfiable 12.95s 4.83s
% Output : CNFRefutation 13.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 38
% Syntax : Number of formulae : 249 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 1064 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1439 ( 617 ~; 822 |; 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 : 411 (; 411 !; 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_28,axiom,
! [U] : ssRr(U,skf2(U)),
file(unknown,unknown) ).
tff(f_103,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ssPv4(U)
| ssPv2(W)
| ssPv1(V)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ssPv2(U)
| ssPv1(V)
| ssPv4(V) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ssPv2(U)
| ssPv1(V)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_193,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv2(V)
| ssPv1(U)
| ssPv4(W)
| ssPv1(V) ),
file(unknown,unknown) ).
tff(f_398,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv4(W)
| ~ ssPv2(V)
| ssPv1(U)
| ssPv1(V) ),
file(unknown,unknown) ).
tff(f_318,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv1(W)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_482,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ~ ssPv3(U)
| ssPv1(W) ),
file(unknown,unknown) ).
tff(f_589,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv1(W)
| ~ ssRr(V,X)
| ssPv4(U)
| ssPv4(X)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_414,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ssPv1(U)
| ssPv2(U) ),
file(unknown,unknown) ).
tff(f_148,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv2(W)
| ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_286,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(W,V)
| ~ ssPv1(V)
| ~ ssPv2(V)
| ssPv3(U)
| ssPv2(W) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ssPv1(V)
| ssPv2(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_334,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv1(W)
| ~ ssPv4(V)
| ssPv2(U)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_163,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ssPv2(W)
| ssPv2(V)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_382,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ssPv2(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_350,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv2(W)
| ~ ssPv3(V)
| ssPv2(U)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_238,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ssPv2(W)
| ssPv1(V)
| ssPv3(V) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ssPv3(V)
| ssPv1(U)
| ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_223,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv4(W)
| ssPv1(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_270,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ~ ssPv4(U)
| ssPv4(V)
| ssPv3(W) ),
file(unknown,unknown) ).
tff(f_499,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ~ ssPv2(U)
| ssPv1(W) ),
file(unknown,unknown) ).
tff(f_448,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv3(U)
| ssPv4(W) ),
file(unknown,unknown) ).
tff(f_89,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssPv1(V)
| ~ ssPv4(V)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_517,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv1(U)
| ~ ssPv4(U) ),
file(unknown,unknown) ).
tff(f_178,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv3(V)
| ssPv4(U)
| ssPv2(W)
| ssPv1(V) ),
file(unknown,unknown) ).
tff(f_744,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(W,V)
| ~ ssPv3(W)
| ~ ssRr(X,V)
| ~ ssPv1(X)
| ssPv2(V) ),
file(unknown,unknown) ).
tff(f_465,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv1(W)
| ~ ssPv1(V)
| ~ ssPv3(V)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_704,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(W,V)
| ~ ssRr(V,X)
| ~ ssPv1(X)
| ~ ssPv2(V)
| ssPv3(W) ),
file(unknown,unknown) ).
tff(f_824,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(W,V)
| ~ ssPv3(W)
| ~ ssRr(V,X)
| ~ ssPv3(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_4,plain,
! [U_2] : ssRr(U_2,skf2(U_2)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_562,plain,
! [V_275,W_276,U_277] :
( ssPv2(V_275)
| ssPv1(V_275)
| ssPv2(W_276)
| ssPv4(U_277)
| ~ ssRr(V_275,W_276)
| ~ ssRr(U_277,V_275) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_569,plain,
! [U_278,U_279] :
( ssPv2(U_278)
| ssPv1(U_278)
| ssPv2(skf2(U_278))
| ssPv4(U_279)
| ~ ssRr(U_279,U_278) ),
inference(resolution,[status(thm)],[c_4,c_562]) ).
tff(c_575,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv1(skf2(U_2))
| ssPv2(skf2(skf2(U_2)))
| ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_4,c_569]) ).
tff(c_137,plain,
! [V_177,U_178] :
( ssPv4(V_177)
| ssPv1(V_177)
| ssPv2(U_178)
| ~ ssPv2(V_177)
| ~ ssRr(U_178,V_177) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_145,plain,
! [U_2] :
( ssPv4(skf2(U_2))
| ssPv1(skf2(U_2))
| ssPv2(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_137]) ).
tff(c_107,plain,
! [V_168,U_169] :
( ssPv3(V_168)
| ssPv1(V_168)
| ssPv2(U_169)
| ~ ssPv4(V_168)
| ~ ssRr(U_169,V_168) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_176,plain,
! [U_190] :
( ssPv3(skf2(U_190))
| ssPv1(skf2(U_190))
| ssPv2(U_190)
| ~ ssPv4(skf2(U_190)) ),
inference(resolution,[status(thm)],[c_4,c_107]) ).
tff(c_180,plain,
! [U_2] :
( ssPv3(skf2(U_2))
| ssPv1(skf2(U_2))
| ssPv2(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_145,c_176]) ).
tff(c_1094,plain,
! [V_360,W_361,U_362] :
( ssPv1(V_360)
| ssPv4(W_361)
| ssPv1(U_362)
| ~ ssPv2(V_360)
| ~ ssRr(V_360,W_361)
| ~ ssRr(U_362,V_360) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_1101,plain,
! [U_363,U_364] :
( ssPv1(U_363)
| ssPv4(skf2(U_363))
| ssPv1(U_364)
| ~ ssPv2(U_363)
| ~ ssRr(U_364,U_363) ),
inference(resolution,[status(thm)],[c_4,c_1094]) ).
tff(c_1108,plain,
! [U_365] :
( ssPv1(U_365)
| ssPv4(skf2(U_365))
| ssPv1(skf3(U_365))
| ~ ssPv2(U_365) ),
inference(resolution,[status(thm)],[c_2,c_1101]) ).
tff(c_610,plain,
! [V_284,U_285,W_286] :
( ssPv1(V_284)
| ssPv1(U_285)
| ~ ssPv2(V_284)
| ~ ssPv4(W_286)
| ~ ssRr(V_284,W_286)
| ~ ssRr(U_285,V_284) ),
inference(cnfTransformation,[status(thm)],[f_398]) ).
tff(c_616,plain,
! [U_2,U_285] :
( ssPv1(U_2)
| ssPv1(U_285)
| ~ ssPv2(U_2)
| ~ ssPv4(skf2(U_2))
| ~ ssRr(U_285,U_2) ),
inference(resolution,[status(thm)],[c_4,c_610]) ).
tff(c_1184,plain,
! [U_374,U_375] :
( ssPv1(U_374)
| ~ ssRr(U_374,U_375)
| ssPv1(U_375)
| ssPv1(skf3(U_375))
| ~ ssPv2(U_375) ),
inference(resolution,[status(thm)],[c_1108,c_616]) ).
tff(c_1189,plain,
! [U_1] :
( ssPv1(U_1)
| ssPv1(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_1184]) ).
tff(c_818,plain,
! [U_316,W_317,V_318] :
( ssPv3(U_316)
| ssPv1(W_317)
| ~ ssPv1(U_316)
| ~ ssRr(U_316,W_317)
| ~ ssPv3(V_318)
| ~ ssRr(U_316,V_318) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_3406,plain,
! [U_587,V_588] :
( ssPv3(skf3(U_587))
| ssPv1(U_587)
| ~ ssPv1(skf3(U_587))
| ~ ssPv3(V_588)
| ~ ssRr(skf3(U_587),V_588) ),
inference(resolution,[status(thm)],[c_2,c_818]) ).
tff(c_3416,plain,
! [U_589] :
( ssPv3(skf3(U_589))
| ssPv1(U_589)
| ~ ssPv1(skf3(U_589))
| ~ ssPv3(U_589) ),
inference(resolution,[status(thm)],[c_2,c_3406]) ).
tff(c_640,plain,
! [W_291,U_292,V_293] :
( ssPv1(W_291)
| ~ ssPv3(U_292)
| ~ ssPv1(U_292)
| ~ ssRr(U_292,W_291)
| ~ ssPv2(V_293)
| ~ ssRr(U_292,V_293) ),
inference(cnfTransformation,[status(thm)],[f_482]) ).
tff(c_2967,plain,
! [U_564,V_565] :
( ssPv1(U_564)
| ~ ssPv3(skf3(U_564))
| ~ ssPv1(skf3(U_564))
| ~ ssPv2(V_565)
| ~ ssRr(skf3(U_564),V_565) ),
inference(resolution,[status(thm)],[c_2,c_640]) ).
tff(c_2975,plain,
! [U_1] :
( ssPv1(U_1)
| ~ ssPv3(skf3(U_1))
| ~ ssPv1(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_2967]) ).
tff(c_3441,plain,
! [U_590] :
( ~ ssPv2(U_590)
| ssPv1(U_590)
| ~ ssPv1(skf3(U_590))
| ~ ssPv3(U_590) ),
inference(resolution,[status(thm)],[c_3416,c_2975]) ).
tff(c_3450,plain,
! [U_591] :
( ~ ssPv3(U_591)
| ssPv1(U_591)
| ~ ssPv2(U_591) ),
inference(resolution,[status(thm)],[c_1189,c_3441]) ).
tff(c_3596,plain,
! [U_593] :
( ssPv1(skf2(U_593))
| ssPv2(U_593)
| ~ ssPv2(skf2(U_593)) ),
inference(resolution,[status(thm)],[c_180,c_3450]) ).
tff(c_3646,plain,
! [U_2] :
( ssPv1(skf2(skf2(U_2)))
| ssPv2(skf2(U_2))
| ssPv1(skf2(U_2))
| ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_575,c_3596]) ).
tff(c_2086,plain,
! [V_484,X_485,U_486,W_487] :
( ssPv2(V_484)
| ssPv4(X_485)
| ssPv4(U_486)
| ~ ssRr(V_484,X_485)
| ~ ssPv1(W_487)
| ~ ssRr(V_484,W_487)
| ~ ssRr(U_486,V_484) ),
inference(cnfTransformation,[status(thm)],[f_589]) ).
tff(c_6287,plain,
! [U_717,U_718,W_719] :
( ssPv2(U_717)
| ssPv4(skf2(U_717))
| ssPv4(U_718)
| ~ ssPv1(W_719)
| ~ ssRr(U_717,W_719)
| ~ ssRr(U_718,U_717) ),
inference(resolution,[status(thm)],[c_4,c_2086]) ).
tff(c_6294,plain,
! [U_720,U_721] :
( ssPv2(U_720)
| ssPv4(skf2(U_720))
| ssPv4(U_721)
| ~ ssPv1(skf2(U_720))
| ~ ssRr(U_721,U_720) ),
inference(resolution,[status(thm)],[c_4,c_6287]) ).
tff(c_6350,plain,
! [U_723] :
( ssPv2(skf2(U_723))
| ssPv4(skf2(skf2(U_723)))
| ssPv4(U_723)
| ~ ssPv1(skf2(skf2(U_723))) ),
inference(resolution,[status(thm)],[c_4,c_6294]) ).
tff(c_589,plain,
! [U_281] :
( ssPv2(skf2(U_281))
| ssPv1(skf2(U_281))
| ssPv2(skf2(skf2(U_281)))
| ssPv4(U_281) ),
inference(resolution,[status(thm)],[c_4,c_569]) ).
tff(c_526,plain,
! [U_268,W_269,V_270] :
( ssPv2(U_268)
| ssPv1(U_268)
| ~ ssPv2(W_269)
| ~ ssRr(U_268,W_269)
| ~ ssPv4(V_270)
| ~ ssRr(U_268,V_270) ),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_532,plain,
! [U_2,V_270] :
( ssPv2(U_2)
| ssPv1(U_2)
| ~ ssPv2(skf2(U_2))
| ~ ssPv4(V_270)
| ~ ssRr(U_2,V_270) ),
inference(resolution,[status(thm)],[c_4,c_526]) ).
tff(c_5918,plain,
! [V_695,U_696] :
( ~ ssPv4(V_695)
| ~ ssRr(skf2(U_696),V_695)
| ssPv2(skf2(U_696))
| ssPv1(skf2(U_696))
| ssPv4(U_696) ),
inference(resolution,[status(thm)],[c_589,c_532]) ).
tff(c_5923,plain,
! [U_696] :
( ~ ssPv4(skf2(skf2(U_696)))
| ssPv2(skf2(U_696))
| ssPv1(skf2(U_696))
| ssPv4(U_696) ),
inference(resolution,[status(thm)],[c_4,c_5918]) ).
tff(c_6420,plain,
! [U_727] :
( ssPv1(skf2(U_727))
| ssPv2(skf2(U_727))
| ssPv4(U_727)
| ~ ssPv1(skf2(skf2(U_727))) ),
inference(resolution,[status(thm)],[c_6350,c_5923]) ).
tff(c_6457,plain,
! [U_728] :
( ssPv2(skf2(U_728))
| ssPv1(skf2(U_728))
| ssPv4(U_728) ),
inference(resolution,[status(thm)],[c_3646,c_6420]) ).
tff(c_3549,plain,
! [U_2] :
( ssPv1(skf2(U_2))
| ssPv2(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_180,c_3450]) ).
tff(c_6721,plain,
! [U_735] :
( ssPv2(U_735)
| ssPv1(skf2(U_735))
| ssPv4(U_735) ),
inference(resolution,[status(thm)],[c_6457,c_3549]) ).
tff(c_1041,plain,
! [U_352,W_353,V_354] :
( ssPv4(U_352)
| ssPv3(U_352)
| ssPv2(W_353)
| ~ ssRr(U_352,W_353)
| ~ ssPv1(V_354)
| ~ ssRr(U_352,V_354) ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_1048,plain,
! [U_355,V_356] :
( ssPv4(U_355)
| ssPv3(U_355)
| ssPv2(skf2(U_355))
| ~ ssPv1(V_356)
| ~ ssRr(U_355,V_356) ),
inference(resolution,[status(thm)],[c_4,c_1041]) ).
tff(c_1054,plain,
! [U_2] :
( ssPv4(U_2)
| ssPv3(U_2)
| ssPv2(skf2(U_2))
| ~ ssPv1(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_1048]) ).
tff(c_1013,plain,
! [W_345,U_346,V_347] :
( ssPv2(W_345)
| ssPv3(U_346)
| ~ ssPv2(V_347)
| ~ ssPv1(V_347)
| ~ ssRr(W_345,V_347)
| ~ ssRr(U_346,V_347) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_1966,plain,
! [U_471,U_472] :
( ssPv2(U_471)
| ssPv3(U_472)
| ~ ssPv2(skf2(U_471))
| ~ ssPv1(skf2(U_471))
| ~ ssRr(U_472,skf2(U_471)) ),
inference(resolution,[status(thm)],[c_4,c_1013]) ).
tff(c_1976,plain,
! [U_473] :
( ssPv2(U_473)
| ssPv3(U_473)
| ~ ssPv2(skf2(U_473))
| ~ ssPv1(skf2(U_473)) ),
inference(resolution,[status(thm)],[c_4,c_1966]) ).
tff(c_2023,plain,
! [U_2] :
( ssPv2(U_2)
| ssPv4(U_2)
| ssPv3(U_2)
| ~ ssPv1(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_1054,c_1976]) ).
tff(c_6759,plain,
! [U_736] :
( ssPv3(U_736)
| ssPv2(U_736)
| ssPv4(U_736) ),
inference(resolution,[status(thm)],[c_6721,c_2023]) ).
tff(c_126,plain,
! [U_173,V_174] :
( ssPv3(U_173)
| ssPv2(U_173)
| ssPv1(V_174)
| ~ ssPv4(U_173)
| ~ ssRr(U_173,V_174) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_134,plain,
! [U_2] :
( ssPv3(U_2)
| ssPv2(U_2)
| ssPv1(skf2(U_2))
| ~ ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_4,c_126]) ).
tff(c_739,plain,
! [V_306,U_307,W_308] :
( ssPv2(V_306)
| ssPv2(U_307)
| ~ ssPv4(V_306)
| ~ ssPv1(W_308)
| ~ ssRr(V_306,W_308)
| ~ ssRr(U_307,V_306) ),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_746,plain,
! [U_309,U_310] :
( ssPv2(U_309)
| ssPv2(U_310)
| ~ ssPv4(U_309)
| ~ ssPv1(skf2(U_309))
| ~ ssRr(U_310,U_309) ),
inference(resolution,[status(thm)],[c_4,c_739]) ).
tff(c_759,plain,
! [U_311,U_312] :
( ssPv2(U_311)
| ~ ssRr(U_311,U_312)
| ssPv3(U_312)
| ssPv2(U_312)
| ~ ssPv4(U_312) ),
inference(resolution,[status(thm)],[c_134,c_746]) ).
tff(c_768,plain,
! [U_313] :
( ssPv2(skf3(U_313))
| ssPv3(U_313)
| ssPv2(U_313)
| ~ ssPv4(U_313) ),
inference(resolution,[status(thm)],[c_2,c_759]) ).
tff(c_378,plain,
! [V_242,W_243,U_244] :
( ssPv3(V_242)
| ssPv2(V_242)
| ssPv2(W_243)
| ~ ssRr(V_242,W_243)
| ~ ssPv2(U_244)
| ~ ssRr(U_244,V_242) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_414,plain,
! [U_249,U_250] :
( ssPv3(U_249)
| ssPv2(U_249)
| ssPv2(skf2(U_249))
| ~ ssPv2(U_250)
| ~ ssRr(U_250,U_249) ),
inference(resolution,[status(thm)],[c_4,c_378]) ).
tff(c_419,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv2(U_1)
| ssPv2(skf2(U_1))
| ~ ssPv2(skf3(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_414]) ).
tff(c_777,plain,
! [U_314] :
( ssPv2(skf2(U_314))
| ssPv3(U_314)
| ssPv2(U_314)
| ~ ssPv4(U_314) ),
inference(resolution,[status(thm)],[c_768,c_419]) ).
tff(c_293,plain,
! [U_226,W_227,V_228] :
( ssPv3(U_226)
| ssPv2(U_226)
| ~ ssPv1(W_227)
| ~ ssRr(U_226,W_227)
| ~ ssPv2(V_228)
| ~ ssRr(U_226,V_228) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_310,plain,
! [U_231,V_232] :
( ssPv3(U_231)
| ssPv2(U_231)
| ~ ssPv1(skf2(U_231))
| ~ ssPv2(V_232)
| ~ ssRr(U_231,V_232) ),
inference(resolution,[status(thm)],[c_4,c_293]) ).
tff(c_314,plain,
! [V_233,U_234] :
( ~ ssPv2(V_233)
| ~ ssRr(U_234,V_233)
| ssPv3(U_234)
| ssPv2(U_234)
| ~ ssPv4(U_234) ),
inference(resolution,[status(thm)],[c_134,c_310]) ).
tff(c_322,plain,
! [U_2] :
( ~ ssPv2(skf2(U_2))
| ssPv3(U_2)
| ssPv2(U_2)
| ~ ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_4,c_314]) ).
tff(c_788,plain,
! [U_314] :
( ssPv3(U_314)
| ssPv2(U_314)
| ~ ssPv4(U_314) ),
inference(resolution,[status(thm)],[c_777,c_322]) ).
tff(c_6831,plain,
! [U_736] :
( ssPv3(U_736)
| ssPv2(U_736) ),
inference(resolution,[status(thm)],[c_6759,c_788]) ).
tff(c_896,plain,
! [V_330,U_331,W_332] :
( ssPv2(V_330)
| ssPv2(U_331)
| ~ ssPv3(V_330)
| ~ ssPv2(W_332)
| ~ ssRr(V_330,W_332)
| ~ ssRr(U_331,V_330) ),
inference(cnfTransformation,[status(thm)],[f_350]) ).
tff(c_2301,plain,
! [U_508,U_509] :
( ssPv2(skf3(U_508))
| ssPv2(U_509)
| ~ ssPv3(skf3(U_508))
| ~ ssPv2(U_508)
| ~ ssRr(U_509,skf3(U_508)) ),
inference(resolution,[status(thm)],[c_2,c_896]) ).
tff(c_2306,plain,
! [U_508] :
( ssPv2(skf3(U_508))
| ssPv2(skf3(skf3(U_508)))
| ~ ssPv3(skf3(U_508))
| ~ ssPv2(U_508) ),
inference(resolution,[status(thm)],[c_2,c_2301]) ).
tff(c_144,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv1(U_1)
| ssPv2(skf3(U_1))
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_137]) ).
tff(c_265,plain,
! [V_219,W_220,U_221] :
( ssPv3(V_219)
| ssPv1(V_219)
| ssPv2(W_220)
| ~ ssRr(V_219,W_220)
| ~ ssPv2(U_221)
| ~ ssRr(U_221,V_219) ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_277,plain,
! [U_223,U_224] :
( ssPv3(U_223)
| ssPv1(U_223)
| ssPv2(skf2(U_223))
| ~ ssPv2(U_224)
| ~ ssRr(U_224,U_223) ),
inference(resolution,[status(thm)],[c_4,c_265]) ).
tff(c_284,plain,
! [U_225] :
( ssPv3(U_225)
| ssPv1(U_225)
| ssPv2(skf2(U_225))
| ~ ssPv2(skf3(U_225)) ),
inference(resolution,[status(thm)],[c_2,c_277]) ).
tff(c_291,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv2(skf2(U_1))
| ssPv4(U_1)
| ssPv1(U_1)
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_144,c_284]) ).
tff(c_146,plain,
! [U_179,V_180] :
( ssPv4(U_179)
| ssPv3(U_179)
| ssPv1(U_179)
| ssPv3(V_180)
| ~ ssRr(U_179,V_180) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_154,plain,
! [U_2] :
( ssPv4(U_2)
| ssPv3(U_2)
| ssPv1(U_2)
| ssPv3(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_146]) ).
tff(c_3812,plain,
! [U_601] :
( ssPv1(skf2(U_601))
| ~ ssPv2(skf2(U_601))
| ssPv4(U_601)
| ssPv3(U_601)
| ssPv1(U_601) ),
inference(resolution,[status(thm)],[c_154,c_3450]) ).
tff(c_3973,plain,
! [U_606] :
( ssPv1(skf2(U_606))
| ssPv3(U_606)
| ssPv4(U_606)
| ssPv1(U_606)
| ~ ssPv2(U_606) ),
inference(resolution,[status(thm)],[c_291,c_3812]) ).
tff(c_1219,plain,
! [U_382,W_383,V_384] :
( ssPv4(U_382)
| ssPv1(U_382)
| ssPv4(W_383)
| ~ ssRr(U_382,W_383)
| ~ ssPv1(V_384)
| ~ ssRr(U_382,V_384) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_1226,plain,
! [U_385,V_386] :
( ssPv4(U_385)
| ssPv1(U_385)
| ssPv4(skf2(U_385))
| ~ ssPv1(V_386)
| ~ ssRr(U_385,V_386) ),
inference(resolution,[status(thm)],[c_4,c_1219]) ).
tff(c_1232,plain,
! [U_2] :
( ssPv4(U_2)
| ssPv1(U_2)
| ssPv4(skf2(U_2))
| ~ ssPv1(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_1226]) ).
tff(c_164,plain,
! [W_186,V_187,U_188] :
( ssPv3(W_186)
| ssPv4(V_187)
| ~ ssPv4(U_188)
| ~ ssPv1(U_188)
| ~ ssRr(U_188,W_186)
| ~ ssRr(U_188,V_187) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_189,plain,
! [U_195,V_196] :
( ssPv3(skf2(U_195))
| ssPv4(V_196)
| ~ ssPv4(U_195)
| ~ ssPv1(U_195)
| ~ ssRr(U_195,V_196) ),
inference(resolution,[status(thm)],[c_4,c_164]) ).
tff(c_195,plain,
! [U_2] :
( ssPv3(skf2(U_2))
| ssPv4(skf2(U_2))
| ~ ssPv4(U_2)
| ~ ssPv1(U_2) ),
inference(resolution,[status(thm)],[c_4,c_189]) ).
tff(c_446,plain,
! [U_258] :
( ssPv3(skf2(U_258))
| ssPv2(skf2(U_258))
| ssPv2(skf2(skf2(U_258)))
| ~ ssPv2(U_258) ),
inference(resolution,[status(thm)],[c_4,c_414]) ).
tff(c_458,plain,
! [U_262] :
( ~ ssPv4(skf2(U_262))
| ssPv3(skf2(U_262))
| ssPv2(skf2(U_262))
| ~ ssPv2(U_262) ),
inference(resolution,[status(thm)],[c_446,c_322]) ).
tff(c_557,plain,
! [U_274] :
( ssPv2(skf2(U_274))
| ~ ssPv2(U_274)
| ssPv3(skf2(U_274))
| ~ ssPv4(U_274)
| ~ ssPv1(U_274) ),
inference(resolution,[status(thm)],[c_195,c_458]) ).
tff(c_336,plain,
! [W_236,U_237,V_238] :
( ssPv1(W_236)
| ~ ssPv2(U_237)
| ~ ssPv1(U_237)
| ~ ssRr(U_237,W_236)
| ~ ssPv3(V_238)
| ~ ssRr(U_237,V_238) ),
inference(cnfTransformation,[status(thm)],[f_499]) ).
tff(c_390,plain,
! [U_246,V_247] :
( ssPv1(skf2(U_246))
| ~ ssPv2(U_246)
| ~ ssPv1(U_246)
| ~ ssPv3(V_247)
| ~ ssRr(U_246,V_247) ),
inference(resolution,[status(thm)],[c_4,c_336]) ).
tff(c_396,plain,
! [U_2] :
( ssPv1(skf2(U_2))
| ~ ssPv2(U_2)
| ~ ssPv1(U_2)
| ~ ssPv3(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_390]) ).
tff(c_561,plain,
! [U_274] :
( ssPv1(skf2(U_274))
| ssPv2(skf2(U_274))
| ~ ssPv2(U_274)
| ~ ssPv4(U_274)
| ~ ssPv1(U_274) ),
inference(resolution,[status(thm)],[c_557,c_396]) ).
tff(c_647,plain,
! [U_294,V_295] :
( ssPv1(skf2(U_294))
| ~ ssPv3(U_294)
| ~ ssPv1(U_294)
| ~ ssPv2(V_295)
| ~ ssRr(U_294,V_295) ),
inference(resolution,[status(thm)],[c_4,c_640]) ).
tff(c_654,plain,
! [U_296] :
( ssPv1(skf2(U_296))
| ~ ssPv3(U_296)
| ~ ssPv1(U_296)
| ~ ssPv2(skf2(U_296)) ),
inference(resolution,[status(thm)],[c_4,c_647]) ).
tff(c_679,plain,
! [U_274] :
( ~ ssPv3(U_274)
| ssPv1(skf2(U_274))
| ~ ssPv2(U_274)
| ~ ssPv4(U_274)
| ~ ssPv1(U_274) ),
inference(resolution,[status(thm)],[c_561,c_654]) ).
tff(c_451,plain,
! [W_259,U_260,V_261] :
( ssPv4(W_259)
| ~ ssPv3(U_260)
| ~ ssPv2(U_260)
| ~ ssRr(U_260,W_259)
| ~ ssPv1(V_261)
| ~ ssRr(U_260,V_261) ),
inference(cnfTransformation,[status(thm)],[f_448]) ).
tff(c_467,plain,
! [U_263,V_264] :
( ssPv4(skf2(U_263))
| ~ ssPv3(U_263)
| ~ ssPv2(U_263)
| ~ ssPv1(V_264)
| ~ ssRr(U_263,V_264) ),
inference(resolution,[status(thm)],[c_4,c_451]) ).
tff(c_474,plain,
! [U_265] :
( ssPv4(skf2(U_265))
| ~ ssPv3(U_265)
| ~ ssPv2(U_265)
| ~ ssPv1(skf2(U_265)) ),
inference(resolution,[status(thm)],[c_4,c_467]) ).
tff(c_117,plain,
! [V_171,U_172] :
( ssPv2(V_171)
| ~ ssPv4(V_171)
| ~ ssPv1(V_171)
| ~ ssPv1(U_172)
| ~ ssRr(U_172,V_171) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_125,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ~ ssPv4(skf2(U_2))
| ~ ssPv1(skf2(U_2))
| ~ ssPv1(U_2) ),
inference(resolution,[status(thm)],[c_4,c_117]) ).
tff(c_494,plain,
! [U_265] :
( ssPv2(skf2(U_265))
| ~ ssPv1(U_265)
| ~ ssPv3(U_265)
| ~ ssPv2(U_265)
| ~ ssPv1(skf2(U_265)) ),
inference(resolution,[status(thm)],[c_474,c_125]) ).
tff(c_687,plain,
! [U_297] :
( ~ ssPv3(U_297)
| ssPv1(skf2(U_297))
| ~ ssPv2(U_297)
| ~ ssPv4(U_297)
| ~ ssPv1(U_297) ),
inference(resolution,[status(thm)],[c_561,c_654]) ).
tff(c_182,plain,
! [U_192,W_193,V_194] :
( ~ ssPv4(U_192)
| ~ ssPv1(U_192)
| ~ ssPv1(W_193)
| ~ ssRr(U_192,W_193)
| ~ ssPv2(V_194)
| ~ ssRr(U_192,V_194) ),
inference(cnfTransformation,[status(thm)],[f_517]) ).
tff(c_188,plain,
! [U_2,V_194] :
( ~ ssPv4(U_2)
| ~ ssPv1(U_2)
| ~ ssPv1(skf2(U_2))
| ~ ssPv2(V_194)
| ~ ssRr(U_2,V_194) ),
inference(resolution,[status(thm)],[c_4,c_182]) ).
tff(c_1350,plain,
! [V_404,U_405] :
( ~ ssPv2(V_404)
| ~ ssRr(U_405,V_404)
| ~ ssPv3(U_405)
| ~ ssPv2(U_405)
| ~ ssPv4(U_405)
| ~ ssPv1(U_405) ),
inference(resolution,[status(thm)],[c_687,c_188]) ).
tff(c_1366,plain,
! [U_410] :
( ~ ssPv2(skf2(U_410))
| ~ ssPv3(U_410)
| ~ ssPv2(U_410)
| ~ ssPv4(U_410)
| ~ ssPv1(U_410) ),
inference(resolution,[status(thm)],[c_4,c_1350]) ).
tff(c_1419,plain,
! [U_411] :
( ~ ssPv4(U_411)
| ~ ssPv1(U_411)
| ~ ssPv3(U_411)
| ~ ssPv2(U_411)
| ~ ssPv1(skf2(U_411)) ),
inference(resolution,[status(thm)],[c_494,c_1366]) ).
tff(c_1436,plain,
! [U_412] :
( ~ ssPv3(U_412)
| ~ ssPv2(U_412)
| ~ ssPv4(U_412)
| ~ ssPv1(U_412) ),
inference(resolution,[status(thm)],[c_679,c_1419]) ).
tff(c_1562,plain,
! [U_419] :
( ~ ssPv3(skf2(U_419))
| ~ ssPv2(skf2(U_419))
| ssPv4(U_419)
| ssPv1(U_419)
| ~ ssPv1(skf2(U_419)) ),
inference(resolution,[status(thm)],[c_1232,c_1436]) ).
tff(c_1591,plain,
! [U_420] :
( ~ ssPv2(skf2(U_420))
| ~ ssPv1(skf2(U_420))
| ssPv4(U_420)
| ssPv3(U_420)
| ssPv1(U_420) ),
inference(resolution,[status(thm)],[c_154,c_1562]) ).
tff(c_1634,plain,
! [U_2] :
( ssPv1(U_2)
| ssPv4(U_2)
| ssPv3(U_2)
| ~ ssPv1(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_1054,c_1591]) ).
tff(c_4006,plain,
! [U_607] :
( ssPv3(U_607)
| ssPv4(U_607)
| ssPv1(U_607)
| ~ ssPv2(U_607) ),
inference(resolution,[status(thm)],[c_3973,c_1634]) ).
tff(c_114,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv1(U_1)
| ssPv2(skf3(U_1))
| ~ ssPv4(U_1) ),
inference(resolution,[status(thm)],[c_2,c_107]) ).
tff(c_3111,plain,
! [U_572,U_573] :
( ssPv3(skf3(U_572))
| ssPv1(skf3(U_572))
| ssPv2(U_572)
| ~ ssPv2(U_573)
| ~ ssRr(U_573,skf3(U_572)) ),
inference(resolution,[status(thm)],[c_2,c_265]) ).
tff(c_3117,plain,
! [U_574] :
( ssPv3(skf3(U_574))
| ssPv1(skf3(U_574))
| ssPv2(U_574)
| ~ ssPv2(skf3(skf3(U_574))) ),
inference(resolution,[status(thm)],[c_2,c_3111]) ).
tff(c_3145,plain,
! [U_574] :
( ssPv2(U_574)
| ssPv3(skf3(U_574))
| ssPv1(skf3(U_574))
| ~ ssPv4(skf3(U_574)) ),
inference(resolution,[status(thm)],[c_114,c_3117]) ).
tff(c_4063,plain,
! [U_608] :
( ssPv2(U_608)
| ssPv3(skf3(U_608))
| ssPv1(skf3(U_608))
| ~ ssPv2(skf3(U_608)) ),
inference(resolution,[status(thm)],[c_4006,c_3145]) ).
tff(c_3448,plain,
! [U_1] :
( ~ ssPv3(U_1)
| ssPv1(U_1)
| ~ ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_1189,c_3441]) ).
tff(c_4103,plain,
! [U_612] :
( ssPv2(U_612)
| ssPv1(skf3(U_612))
| ~ ssPv2(skf3(U_612)) ),
inference(resolution,[status(thm)],[c_4063,c_3448]) ).
tff(c_4133,plain,
! [U_508] :
( ssPv1(skf3(skf3(U_508)))
| ssPv2(skf3(U_508))
| ~ ssPv3(skf3(U_508))
| ~ ssPv2(U_508) ),
inference(resolution,[status(thm)],[c_2306,c_4103]) ).
tff(c_3414,plain,
! [U_1] :
( ssPv3(skf3(U_1))
| ssPv1(U_1)
| ~ ssPv1(skf3(U_1))
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_2,c_3406]) ).
tff(c_1146,plain,
! [V_367,W_368,U_369] :
( ssPv1(V_367)
| ssPv2(W_368)
| ssPv4(U_369)
| ~ ssPv3(V_367)
| ~ ssRr(V_367,W_368)
| ~ ssRr(U_369,V_367) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_1153,plain,
! [U_370,U_371] :
( ssPv1(U_370)
| ssPv2(skf2(U_370))
| ssPv4(U_371)
| ~ ssPv3(U_370)
| ~ ssRr(U_371,U_370) ),
inference(resolution,[status(thm)],[c_4,c_1146]) ).
tff(c_1158,plain,
! [U_1] :
( ssPv1(U_1)
| ssPv2(skf2(U_1))
| ssPv4(skf3(U_1))
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_2,c_1153]) ).
tff(c_1674,plain,
! [V_428,X_429,W_430,U_431] :
( ssPv2(V_428)
| ~ ssPv1(X_429)
| ~ ssRr(X_429,V_428)
| ~ ssPv3(W_430)
| ~ ssRr(W_430,V_428)
| ~ ssPv4(U_431)
| ~ ssRr(U_431,V_428) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_8841,plain,
! [U_851,W_852,U_853] :
( ssPv2(skf2(U_851))
| ~ ssPv1(U_851)
| ~ ssPv3(W_852)
| ~ ssRr(W_852,skf2(U_851))
| ~ ssPv4(U_853)
| ~ ssRr(U_853,skf2(U_851)) ),
inference(resolution,[status(thm)],[c_4,c_1674]) ).
tff(c_8849,plain,
! [U_854,U_855] :
( ssPv2(skf2(U_854))
| ~ ssPv1(U_854)
| ~ ssPv3(U_854)
| ~ ssPv4(U_855)
| ~ ssRr(U_855,skf2(U_854)) ),
inference(resolution,[status(thm)],[c_4,c_8841]) ).
tff(c_8859,plain,
! [U_856] :
( ssPv2(skf2(U_856))
| ~ ssPv1(U_856)
| ~ ssPv3(U_856)
| ~ ssPv4(U_856) ),
inference(resolution,[status(thm)],[c_4,c_8849]) ).
tff(c_2976,plain,
! [U_564] :
( ssPv1(U_564)
| ~ ssPv3(skf3(U_564))
| ~ ssPv1(skf3(U_564))
| ~ ssPv2(skf2(skf3(U_564))) ),
inference(resolution,[status(thm)],[c_4,c_2967]) ).
tff(c_9104,plain,
! [U_860] :
( ssPv1(U_860)
| ~ ssPv1(skf3(U_860))
| ~ ssPv3(skf3(U_860))
| ~ ssPv4(skf3(U_860)) ),
inference(resolution,[status(thm)],[c_8859,c_2976]) ).
tff(c_10269,plain,
! [U_904] :
( ~ ssPv1(skf3(U_904))
| ~ ssPv3(skf3(U_904))
| ssPv1(U_904)
| ssPv2(skf2(U_904))
| ~ ssPv3(U_904) ),
inference(resolution,[status(thm)],[c_1158,c_9104]) ).
tff(c_10326,plain,
! [U_905] :
( ssPv2(skf2(U_905))
| ssPv1(U_905)
| ~ ssPv1(skf3(U_905))
| ~ ssPv3(U_905) ),
inference(resolution,[status(thm)],[c_3414,c_10269]) ).
tff(c_902,plain,
! [U_2,U_331] :
( ssPv2(U_2)
| ssPv2(U_331)
| ~ ssPv3(U_2)
| ~ ssPv2(skf2(U_2))
| ~ ssRr(U_331,U_2) ),
inference(resolution,[status(thm)],[c_4,c_896]) ).
tff(c_10892,plain,
! [U_928,U_929] :
( ssPv2(U_928)
| ssPv2(U_929)
| ~ ssRr(U_929,U_928)
| ssPv1(U_928)
| ~ ssPv1(skf3(U_928))
| ~ ssPv3(U_928) ),
inference(resolution,[status(thm)],[c_10326,c_902]) ).
tff(c_10899,plain,
! [U_930] :
( ssPv2(U_930)
| ssPv2(skf3(U_930))
| ssPv1(U_930)
| ~ ssPv1(skf3(U_930))
| ~ ssPv3(U_930) ),
inference(resolution,[status(thm)],[c_2,c_10892]) ).
tff(c_2610,plain,
! [U_544,V_545] :
( ssPv1(U_544)
| ~ ssPv2(skf3(U_544))
| ~ ssPv1(skf3(U_544))
| ~ ssPv3(V_545)
| ~ ssRr(skf3(U_544),V_545) ),
inference(resolution,[status(thm)],[c_2,c_336]) ).
tff(c_2618,plain,
! [U_1] :
( ssPv1(U_1)
| ~ ssPv2(skf3(U_1))
| ~ ssPv1(skf3(U_1))
| ~ ssPv3(U_1) ),
inference(resolution,[status(thm)],[c_2,c_2610]) ).
tff(c_10948,plain,
! [U_931] :
( ssPv2(U_931)
| ssPv1(U_931)
| ~ ssPv1(skf3(U_931))
| ~ ssPv3(U_931) ),
inference(resolution,[status(thm)],[c_10899,c_2618]) ).
tff(c_10993,plain,
! [U_935] :
( ssPv1(skf3(U_935))
| ssPv2(skf3(U_935))
| ~ ssPv3(skf3(U_935))
| ~ ssPv2(U_935) ),
inference(resolution,[status(thm)],[c_4133,c_10948]) ).
tff(c_11046,plain,
! [U_935] :
( ssPv1(skf3(U_935))
| ~ ssPv2(U_935)
| ssPv2(skf3(U_935)) ),
inference(resolution,[status(thm)],[c_6831,c_10993]) ).
tff(c_653,plain,
! [U_2] :
( ssPv1(skf2(U_2))
| ~ ssPv3(U_2)
| ~ ssPv1(U_2)
| ~ ssPv2(skf2(U_2)) ),
inference(resolution,[status(thm)],[c_4,c_647]) ).
tff(c_7062,plain,
! [U_744] :
( ~ ssPv3(U_744)
| ~ ssPv1(U_744)
| ssPv1(skf2(U_744))
| ssPv4(U_744) ),
inference(resolution,[status(thm)],[c_6457,c_653]) ).
tff(c_430,plain,
! [U_252,V_253,W_254] :
( ssPv3(U_252)
| ~ ssPv3(V_253)
| ~ ssPv1(V_253)
| ~ ssPv1(W_254)
| ~ ssRr(V_253,W_254)
| ~ ssRr(U_252,V_253) ),
inference(cnfTransformation,[status(thm)],[f_465]) ).
tff(c_436,plain,
! [U_252,U_2] :
( ssPv3(U_252)
| ~ ssPv3(U_2)
| ~ ssPv1(U_2)
| ~ ssPv1(skf2(U_2))
| ~ ssRr(U_252,U_2) ),
inference(resolution,[status(thm)],[c_4,c_430]) ).
tff(c_7274,plain,
! [U_758,U_759] :
( ssPv3(U_758)
| ~ ssRr(U_758,U_759)
| ~ ssPv3(U_759)
| ~ ssPv1(U_759)
| ssPv4(U_759) ),
inference(resolution,[status(thm)],[c_7062,c_436]) ).
tff(c_7283,plain,
! [U_760] :
( ssPv3(skf3(U_760))
| ~ ssPv3(U_760)
| ~ ssPv1(U_760)
| ssPv4(U_760) ),
inference(resolution,[status(thm)],[c_2,c_7274]) ).
tff(c_3869,plain,
! [U_602,V_603] :
( ssPv4(U_602)
| ~ ssPv3(skf3(U_602))
| ~ ssPv2(skf3(U_602))
| ~ ssPv1(V_603)
| ~ ssRr(skf3(U_602),V_603) ),
inference(resolution,[status(thm)],[c_2,c_451]) ).
tff(c_3877,plain,
! [U_1] :
( ssPv4(U_1)
| ~ ssPv3(skf3(U_1))
| ~ ssPv2(skf3(U_1))
| ~ ssPv1(U_1) ),
inference(resolution,[status(thm)],[c_2,c_3869]) ).
tff(c_7341,plain,
! [U_762] :
( ~ ssPv2(skf3(U_762))
| ~ ssPv3(U_762)
| ~ ssPv1(U_762)
| ssPv4(U_762) ),
inference(resolution,[status(thm)],[c_7283,c_3877]) ).
tff(c_13902,plain,
! [U_1040] :
( ~ ssPv1(skf3(U_1040))
| ssPv4(skf3(U_1040))
| ssPv2(skf3(U_1040))
| ~ ssPv3(skf3(U_1040))
| ~ ssPv2(U_1040) ),
inference(resolution,[status(thm)],[c_2306,c_7341]) ).
tff(c_8858,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ~ ssPv1(U_2)
| ~ ssPv3(U_2)
| ~ ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_4,c_8849]) ).
tff(c_8901,plain,
! [U_857] :
( ssPv1(skf2(U_857))
| ~ ssPv1(U_857)
| ~ ssPv3(U_857)
| ~ ssPv4(U_857) ),
inference(resolution,[status(thm)],[c_8859,c_653]) ).
tff(c_9332,plain,
! [V_867,U_868] :
( ~ ssPv2(V_867)
| ~ ssRr(U_868,V_867)
| ~ ssPv1(U_868)
| ~ ssPv3(U_868)
| ~ ssPv4(U_868) ),
inference(resolution,[status(thm)],[c_8901,c_188]) ).
tff(c_9341,plain,
! [U_869] :
( ~ ssPv2(skf2(U_869))
| ~ ssPv1(U_869)
| ~ ssPv3(U_869)
| ~ ssPv4(U_869) ),
inference(resolution,[status(thm)],[c_4,c_9332]) ).
tff(c_9408,plain,
! [U_2] :
( ~ ssPv1(U_2)
| ~ ssPv3(U_2)
| ~ ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_8858,c_9341]) ).
tff(c_13955,plain,
! [U_1041] :
( ~ ssPv1(skf3(U_1041))
| ssPv2(skf3(U_1041))
| ~ ssPv3(skf3(U_1041))
| ~ ssPv2(U_1041) ),
inference(resolution,[status(thm)],[c_13902,c_9408]) ).
tff(c_14024,plain,
! [U_1041] :
( ~ ssPv1(skf3(U_1041))
| ~ ssPv2(U_1041)
| ssPv2(skf3(U_1041)) ),
inference(resolution,[status(thm)],[c_6831,c_13955]) ).
tff(c_11054,plain,
! [U_936] :
( ssPv1(skf3(U_936))
| ~ ssPv2(U_936)
| ssPv2(skf3(U_936)) ),
inference(resolution,[status(thm)],[c_6831,c_10993]) ).
tff(c_1644,plain,
! [W_421,V_422,X_423,U_424] :
( ssPv3(W_421)
| ~ ssPv2(V_422)
| ~ ssPv1(X_423)
| ~ ssRr(V_422,X_423)
| ~ ssRr(W_421,V_422)
| ~ ssPv2(U_424)
| ~ ssRr(U_424,V_422) ),
inference(cnfTransformation,[status(thm)],[f_704]) ).
tff(c_8061,plain,
! [W_798,U_799,U_800] :
( ssPv3(W_798)
| ~ ssPv2(skf3(U_799))
| ~ ssPv1(U_799)
| ~ ssRr(W_798,skf3(U_799))
| ~ ssPv2(U_800)
| ~ ssRr(U_800,skf3(U_799)) ),
inference(resolution,[status(thm)],[c_2,c_1644]) ).
tff(c_8452,plain,
! [U_827,U_828] :
( ssPv3(skf3(skf3(U_827)))
| ~ ssPv2(skf3(U_827))
| ~ ssPv1(U_827)
| ~ ssPv2(U_828)
| ~ ssRr(U_828,skf3(U_827)) ),
inference(resolution,[status(thm)],[c_2,c_8061]) ).
tff(c_8457,plain,
! [U_829] :
( ssPv3(skf3(skf3(U_829)))
| ~ ssPv2(skf3(U_829))
| ~ ssPv1(U_829)
| ~ ssPv2(skf3(skf3(U_829))) ),
inference(resolution,[status(thm)],[c_2,c_8452]) ).
tff(c_8482,plain,
! [U_829] :
( ssPv1(skf3(skf3(U_829)))
| ~ ssPv2(skf3(U_829))
| ~ ssPv1(U_829)
| ~ ssPv2(skf3(skf3(U_829))) ),
inference(resolution,[status(thm)],[c_8457,c_3448]) ).
tff(c_11094,plain,
! [U_829] :
( ~ ssPv1(U_829)
| ssPv1(skf3(skf3(U_829)))
| ~ ssPv2(skf3(U_829)) ),
inference(resolution,[status(thm)],[c_11054,c_8482]) ).
tff(c_8456,plain,
! [U_827] :
( ssPv3(skf3(skf3(U_827)))
| ~ ssPv2(skf3(U_827))
| ~ ssPv1(U_827)
| ~ ssPv2(skf3(skf3(U_827))) ),
inference(resolution,[status(thm)],[c_2,c_8452]) ).
tff(c_420,plain,
! [U_2] :
( ssPv3(skf2(U_2))
| ssPv2(skf2(U_2))
| ssPv2(skf2(skf2(U_2)))
| ~ ssPv2(U_2) ),
inference(resolution,[status(thm)],[c_4,c_414]) ).
tff(c_4160,plain,
! [U_616] :
( ssPv1(skf2(skf2(U_616)))
| ssPv3(skf2(U_616))
| ssPv2(skf2(U_616))
| ~ ssPv2(U_616) ),
inference(resolution,[status(thm)],[c_420,c_3596]) ).
tff(c_2028,plain,
! [U_2] :
( ~ ssPv1(skf2(skf2(U_2)))
| ssPv3(skf2(U_2))
| ssPv2(skf2(U_2))
| ~ ssPv2(U_2) ),
inference(resolution,[status(thm)],[c_420,c_1976]) ).
tff(c_4185,plain,
! [U_617] :
( ssPv3(skf2(U_617))
| ssPv2(skf2(U_617))
| ~ ssPv2(U_617) ),
inference(resolution,[status(thm)],[c_4160,c_2028]) ).
tff(c_4214,plain,
! [U_618] :
( ssPv1(skf2(U_618))
| ~ ssPv1(U_618)
| ssPv2(skf2(U_618))
| ~ ssPv2(U_618) ),
inference(resolution,[status(thm)],[c_4185,c_396]) ).
tff(c_4245,plain,
! [U_619] :
( ~ ssPv3(U_619)
| ssPv1(skf2(U_619))
| ~ ssPv1(U_619)
| ~ ssPv2(U_619) ),
inference(resolution,[status(thm)],[c_4214,c_653]) ).
tff(c_4372,plain,
! [U_624,U_625] :
( ssPv3(U_624)
| ~ ssRr(U_624,U_625)
| ~ ssPv3(U_625)
| ~ ssPv1(U_625)
| ~ ssPv2(U_625) ),
inference(resolution,[status(thm)],[c_4245,c_436]) ).
tff(c_4381,plain,
! [U_626] :
( ssPv3(skf3(U_626))
| ~ ssPv3(U_626)
| ~ ssPv1(U_626)
| ~ ssPv2(U_626) ),
inference(resolution,[status(thm)],[c_2,c_4372]) ).
tff(c_4408,plain,
! [U_626] :
( ssPv1(skf3(U_626))
| ~ ssPv2(skf3(U_626))
| ~ ssPv3(U_626)
| ~ ssPv1(U_626)
| ~ ssPv2(U_626) ),
inference(resolution,[status(thm)],[c_4381,c_3448]) ).
tff(c_11098,plain,
! [U_936] :
( ~ ssPv3(U_936)
| ~ ssPv1(U_936)
| ssPv1(skf3(U_936))
| ~ ssPv2(U_936) ),
inference(resolution,[status(thm)],[c_11054,c_4408]) ).
tff(c_14037,plain,
! [U_1044] :
( ~ ssPv1(skf3(U_1044))
| ~ ssPv2(U_1044)
| ssPv2(skf3(U_1044)) ),
inference(resolution,[status(thm)],[c_6831,c_13955]) ).
tff(c_7310,plain,
! [U_760] :
( ~ ssPv2(skf3(U_760))
| ~ ssPv3(U_760)
| ~ ssPv1(U_760)
| ssPv4(U_760) ),
inference(resolution,[status(thm)],[c_7283,c_3877]) ).
tff(c_14267,plain,
! [U_1049] :
( ~ ssPv3(U_1049)
| ~ ssPv1(U_1049)
| ssPv4(U_1049)
| ~ ssPv1(skf3(U_1049))
| ~ ssPv2(U_1049) ),
inference(resolution,[status(thm)],[c_14037,c_7310]) ).
tff(c_14320,plain,
! [U_1050] :
( ssPv4(U_1050)
| ~ ssPv3(U_1050)
| ~ ssPv1(U_1050)
| ~ ssPv2(U_1050) ),
inference(resolution,[status(thm)],[c_11098,c_14267]) ).
tff(c_14393,plain,
! [U_1051] :
( ~ ssPv3(U_1051)
| ~ ssPv1(U_1051)
| ~ ssPv2(U_1051) ),
inference(resolution,[status(thm)],[c_14320,c_9408]) ).
tff(c_15141,plain,
! [U_1070] :
( ~ ssPv1(skf3(skf3(U_1070)))
| ~ ssPv2(skf3(U_1070))
| ~ ssPv1(U_1070)
| ~ ssPv2(skf3(skf3(U_1070))) ),
inference(resolution,[status(thm)],[c_8456,c_14393]) ).
tff(c_15198,plain,
! [U_1071] :
( ~ ssPv1(U_1071)
| ~ ssPv1(skf3(skf3(U_1071)))
| ~ ssPv2(skf3(U_1071)) ),
inference(resolution,[status(thm)],[c_14024,c_15141]) ).
tff(c_15270,plain,
! [U_1073] :
( ~ ssPv1(U_1073)
| ~ ssPv2(skf3(U_1073)) ),
inference(resolution,[status(thm)],[c_11094,c_15198]) ).
tff(c_15417,plain,
! [U_1076] :
( ~ ssPv1(U_1076)
| ssPv1(skf3(U_1076))
| ~ ssPv2(U_1076) ),
inference(resolution,[status(thm)],[c_11046,c_15270]) ).
tff(c_15320,plain,
! [U_1041] :
( ~ ssPv1(U_1041)
| ~ ssPv1(skf3(U_1041))
| ~ ssPv2(U_1041) ),
inference(resolution,[status(thm)],[c_14024,c_15270]) ).
tff(c_15489,plain,
! [U_1077] :
( ~ ssPv1(U_1077)
| ~ ssPv2(U_1077) ),
inference(resolution,[status(thm)],[c_15417,c_15320]) ).
tff(c_15646,plain,
! [U_1078] :
( ~ ssPv1(skf3(U_1078))
| ~ ssPv2(U_1078) ),
inference(resolution,[status(thm)],[c_14024,c_15489]) ).
tff(c_15687,plain,
! [U_1079] :
( ssPv1(U_1079)
| ~ ssPv2(U_1079) ),
inference(resolution,[status(thm)],[c_1189,c_15646]) ).
tff(c_15922,plain,
! [U_1082] :
( ssPv1(skf3(U_1082))
| ~ ssPv2(U_1082) ),
inference(resolution,[status(thm)],[c_11046,c_15687]) ).
tff(c_15609,plain,
! [U_1041] :
( ~ ssPv1(skf3(U_1041))
| ~ ssPv2(U_1041) ),
inference(resolution,[status(thm)],[c_14024,c_15489]) ).
tff(c_15974,plain,
! [U_1082] : ~ ssPv2(U_1082),
inference(resolution,[status(thm)],[c_15922,c_15609]) ).
tff(c_6455,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv1(skf2(U_2))
| ssPv4(U_2) ),
inference(resolution,[status(thm)],[c_3646,c_6420]) ).
tff(c_16077,plain,
! [U_2] :
( ssPv1(skf2(U_2))
| ssPv4(U_2) ),
inference(negUnitSimplification,[status(thm)],[c_15974,c_6455]) ).
tff(c_6300,plain,
! [U_2] :
( ssPv2(skf2(U_2))
| ssPv4(skf2(skf2(U_2)))
| ssPv4(U_2)
| ~ ssPv1(skf2(skf2(U_2))) ),
inference(resolution,[status(thm)],[c_4,c_6294]) ).
tff(c_9430,plain,
! [U_870] :
( ~ ssPv1(U_870)
| ~ ssPv3(U_870)
| ~ ssPv4(U_870) ),
inference(resolution,[status(thm)],[c_8858,c_9341]) ).
tff(c_10467,plain,
! [U_911] :
( ~ ssPv3(skf2(skf2(U_911)))
| ssPv2(skf2(U_911))
| ssPv4(U_911)
| ~ ssPv1(skf2(skf2(U_911))) ),
inference(resolution,[status(thm)],[c_6300,c_9430]) ).
tff(c_10488,plain,
! [U_911] :
( ssPv2(skf2(U_911))
| ssPv4(U_911)
| ~ ssPv1(skf2(skf2(U_911)))
| ssPv2(skf2(skf2(U_911))) ),
inference(resolution,[status(thm)],[c_6831,c_10467]) ).
tff(c_16386,plain,
! [U_1097] :
( ssPv4(U_1097)
| ~ ssPv1(skf2(skf2(U_1097))) ),
inference(negUnitSimplification,[status(thm)],[c_15974,c_15974,c_10488]) ).
tff(c_16391,plain,
! [U_1098] :
( ssPv4(U_1098)
| ssPv4(skf2(U_1098)) ),
inference(resolution,[status(thm)],[c_16077,c_16386]) ).
tff(c_16075,plain,
! [U_736] : ssPv3(U_736),
inference(negUnitSimplification,[status(thm)],[c_15974,c_6831]) ).
tff(c_16189,plain,
! [U_2] :
( ~ ssPv1(U_2)
| ~ ssPv4(U_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16075,c_9408]) ).
tff(c_16396,plain,
! [U_1099] :
( ~ ssPv1(skf2(U_1099))
| ssPv4(U_1099) ),
inference(resolution,[status(thm)],[c_16391,c_16189]) ).
tff(c_16400,plain,
! [U_2] : ssPv4(U_2),
inference(resolution,[status(thm)],[c_16077,c_16396]) ).
tff(c_2093,plain,
! [U_488,U_489] :
( ssPv2(skf3(U_488))
| ssPv2(U_489)
| ~ ssPv4(skf3(U_488))
| ~ ssPv1(U_488)
| ~ ssRr(U_489,skf3(U_488)) ),
inference(resolution,[status(thm)],[c_2,c_739]) ).
tff(c_2098,plain,
! [U_488] :
( ssPv2(skf3(U_488))
| ssPv2(skf3(skf3(U_488)))
| ~ ssPv4(skf3(U_488))
| ~ ssPv1(U_488) ),
inference(resolution,[status(thm)],[c_2,c_2093]) ).
tff(c_16108,plain,
! [U_488] :
( ~ ssPv4(skf3(U_488))
| ~ ssPv1(U_488) ),
inference(negUnitSimplification,[status(thm)],[c_15974,c_15974,c_2098]) ).
tff(c_16421,plain,
! [U_488] : ~ ssPv1(U_488),
inference(demodulation,[status(thm),theory(equality)],[c_16400,c_16108]) ).
tff(c_100,plain,
! [V_155,X_157,W_156,U_154] :
( ssPv1(V_155)
| ~ ssPv3(X_157)
| ~ ssRr(V_155,X_157)
| ~ ssPv3(W_156)
| ~ ssRr(W_156,V_155)
| ~ ssPv4(U_154)
| ~ ssRr(U_154,V_155) ),
inference(cnfTransformation,[status(thm)],[f_824]) ).
tff(c_16269,plain,
! [V_155,X_157,W_156,U_154] :
( ssPv1(V_155)
| ~ ssRr(V_155,X_157)
| ~ ssRr(W_156,V_155)
| ~ ssPv4(U_154)
| ~ ssRr(U_154,V_155) ),
inference(demodulation,[status(thm),theory(equality)],[c_16075,c_16075,c_100]) ).
tff(c_16549,plain,
! [V_155,X_157,W_156,U_154] :
( ssPv1(V_155)
| ~ ssRr(V_155,X_157)
| ~ ssRr(W_156,V_155)
| ~ ssRr(U_154,V_155) ),
inference(demodulation,[status(thm),theory(equality)],[c_16400,c_16269]) ).
tff(c_16551,plain,
! [V_1105,X_1106,W_1107,U_1108] :
( ~ ssRr(V_1105,X_1106)
| ~ ssRr(W_1107,V_1105)
| ~ ssRr(U_1108,V_1105) ),
inference(negUnitSimplification,[status(thm)],[c_16421,c_16549]) ).
tff(c_16558,plain,
! [W_1109,U_1110,U_1111] :
( ~ ssRr(W_1109,U_1110)
| ~ ssRr(U_1111,U_1110) ),
inference(resolution,[status(thm)],[c_4,c_16551]) ).
tff(c_16563,plain,
! [U_1111,U_1] : ~ ssRr(U_1111,U_1),
inference(resolution,[status(thm)],[c_2,c_16558]) ).
tff(c_16567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16563,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% 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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 17:46:44 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.95/4.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.95/4.87
% 12.95/4.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.28/4.94
% 13.28/4.94 Inference rules
% 13.28/4.94 ----------------------
% 13.28/4.94 #Ref : 0
% 13.28/4.94 #Sup : 4039
% 13.28/4.94 #Fact : 0
% 13.28/4.94 #Define : 0
% 13.28/4.94 #Split : 0
% 13.28/4.94 #Chain : 0
% 13.28/4.94 #Close : 0
% 13.28/4.94
% 13.28/4.94 Ordering : KBO
% 13.28/4.94
% 13.28/4.94 Simplification rules
% 13.28/4.94 ----------------------
% 13.28/4.94 #Subsume : 2031
% 13.28/4.94 #Demod : 251
% 13.28/4.94 #Tautology : 1144
% 13.28/4.94 #SimpNegUnit : 199
% 13.28/4.94 #BackRed : 154
% 13.28/4.94
% 13.28/4.94 #Partial instantiations: 0
% 13.28/4.94 #Strategies tried : 1
% 13.28/4.94
% 13.28/4.94 Timing (in seconds)
% 13.28/4.94 ----------------------
% 13.28/4.94 Preprocessing : 0.60
% 13.28/4.94 Parsing : 0.33
% 13.28/4.94 CNF conversion : 0.04
% 13.28/4.94 Main loop : 3.20
% 13.28/4.94 Inferencing : 1.06
% 13.28/4.94 Reduction : 0.51
% 13.28/4.94 Demodulation : 0.31
% 13.28/4.94 BG Simplification : 0.08
% 13.28/4.94 Subsumption : 1.37
% 13.28/4.94 Abstraction : 0.06
% 13.28/4.94 MUC search : 0.00
% 13.28/4.94 Cooper : 0.00
% 13.28/4.94 Total : 3.91
% 13.28/4.94 Index Insertion : 0.00
% 13.28/4.94 Index Deletion : 0.00
% 13.28/4.94 Index Matching : 0.00
% 13.28/4.94 BG Taut test : 0.00
%------------------------------------------------------------------------------