TSTP Solution File: SYN755-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN755-1 : 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 : n009.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 11:11:49 EDT 2023
% Result : Unsatisfiable 8.93s 3.18s
% Output : CNFRefutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 34
% Syntax : Number of formulae : 203 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 917 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1214 ( 494 ~; 720 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 6 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 347 (; 347 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ssRr > ssPv4 > ssPv3 > ssPv2 > ssPv1 > #nlpp > skf1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(skf1,type,
skf1: $i > $i ).
tff(ssPv1,type,
ssPv1: $i > $o ).
tff(ssPv3,type,
ssPv3: $i > $o ).
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(U,skf1(U)),
file(unknown,unknown) ).
tff(f_120,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ssPv4(V)
| ssPv1(W)
| ssPv2(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_677,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv4(U)
| ssPv3(W)
| ssPv2(X) ),
file(unknown,unknown) ).
tff(f_516,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssPv4(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_150,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv3(V)
| ssPv2(W)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_432,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv4(W)
| ssPv1(U) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssPv2(U)
| ssPv1(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_585,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv3(W)
| ssPv1(X)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ssPv1(U)
| ssPv2(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_734,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssRr(U,X)
| ssPv2(X)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_195,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ssPv1(W)
| ssPv2(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_165,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv3(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_180,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ssPv4(W)
| ssPv2(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_368,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ssPv2(U)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_135,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(V)
| ssPv1(W)
| ssPv4(U) ),
file(unknown,unknown) ).
tff(f_336,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv2(W)
| ssPv2(U) ),
file(unknown,unknown) ).
tff(f_320,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(W)
| ssPv2(U) ),
file(unknown,unknown) ).
tff(f_794,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv3(X) ),
file(unknown,unknown) ).
tff(f_550,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv4(U)
| ssPv2(U) ),
file(unknown,unknown) ).
tff(f_533,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv4(U)
| ssPv3(U) ),
file(unknown,unknown) ).
tff(f_416,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv4(W)
| ssPv1(U) ),
file(unknown,unknown) ).
tff(f_567,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssPv3(U)
| ssPv1(U) ),
file(unknown,unknown) ).
tff(f_225,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv1(U)
| ssPv2(U) ),
file(unknown,unknown) ).
tff(f_774,axiom,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv4(X) ),
file(unknown,unknown) ).
tff(f_482,axiom,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv1(W) ),
file(unknown,unknown) ).
tff(f_106,axiom,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv2(U)
| ~ ssPv3(U)
| ~ ssPv4(U) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [U_1] : ssRr(U_1,skf1(U_1)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_144,plain,
! [U_180,W_181,V_182] :
( ssPv3(U_180)
| ssPv2(U_180)
| ssPv1(W_181)
| ssPv4(V_182)
| ~ ssRr(U_180,W_181)
| ~ ssRr(U_180,V_182) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_148,plain,
! [U_183,V_184] :
( ssPv3(U_183)
| ssPv2(U_183)
| ssPv1(skf1(U_183))
| ssPv4(V_184)
| ~ ssRr(U_183,V_184) ),
inference(resolution,[status(thm)],[c_2,c_144]) ).
tff(c_151,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv2(U_1)
| ssPv1(skf1(U_1))
| ssPv4(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_148]) ).
tff(c_1016,plain,
! [X_406,W_407,U_408,V_409] :
( ssPv2(X_406)
| ssPv3(W_407)
| ~ ssPv4(U_408)
| ~ ssRr(U_408,X_406)
| ~ ssRr(U_408,W_407)
| ~ ssPv4(V_409)
| ~ ssRr(U_408,V_409) ),
inference(cnfTransformation,[status(thm)],[f_677]) ).
tff(c_1701,plain,
! [U_519,W_520,V_521] :
( ssPv2(skf1(U_519))
| ssPv3(W_520)
| ~ ssPv4(U_519)
| ~ ssRr(U_519,W_520)
| ~ ssPv4(V_521)
| ~ ssRr(U_519,V_521) ),
inference(resolution,[status(thm)],[c_2,c_1016]) ).
tff(c_1706,plain,
! [U_523,V_524] :
( ssPv2(skf1(U_523))
| ssPv3(skf1(U_523))
| ~ ssPv4(U_523)
| ~ ssPv4(V_524)
| ~ ssRr(U_523,V_524) ),
inference(resolution,[status(thm)],[c_2,c_1701]) ).
tff(c_1710,plain,
! [U_525] :
( ssPv2(skf1(U_525))
| ssPv3(skf1(U_525))
| ~ ssPv4(U_525)
| ~ ssPv4(skf1(U_525)) ),
inference(resolution,[status(thm)],[c_2,c_1706]) ).
tff(c_1917,plain,
! [U_544] :
( ssPv2(skf1(U_544))
| ssPv3(skf1(U_544))
| ~ ssPv4(U_544)
| ssPv3(U_544)
| ssPv2(U_544)
| ssPv1(skf1(U_544)) ),
inference(resolution,[status(thm)],[c_151,c_1710]) ).
tff(c_565,plain,
! [U_330,W_331,V_332] :
( ssPv3(U_330)
| ~ ssPv4(U_330)
| ~ ssPv3(W_331)
| ~ ssRr(U_330,W_331)
| ~ ssPv4(V_332)
| ~ ssRr(U_330,V_332) ),
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_568,plain,
! [U_1,V_332] :
( ssPv3(U_1)
| ~ ssPv4(U_1)
| ~ ssPv3(skf1(U_1))
| ~ ssPv4(V_332)
| ~ ssRr(U_1,V_332) ),
inference(resolution,[status(thm)],[c_2,c_565]) ).
tff(c_2267,plain,
! [V_566,U_567] :
( ~ ssPv4(V_566)
| ~ ssRr(U_567,V_566)
| ssPv2(skf1(U_567))
| ~ ssPv4(U_567)
| ssPv3(U_567)
| ssPv2(U_567)
| ssPv1(skf1(U_567)) ),
inference(resolution,[status(thm)],[c_1917,c_568]) ).
tff(c_2271,plain,
! [U_568] :
( ~ ssPv4(skf1(U_568))
| ssPv2(skf1(U_568))
| ~ ssPv4(U_568)
| ssPv3(U_568)
| ssPv2(U_568)
| ssPv1(skf1(U_568)) ),
inference(resolution,[status(thm)],[c_2,c_2267]) ).
tff(c_2308,plain,
! [U_569] :
( ssPv2(skf1(U_569))
| ~ ssPv4(U_569)
| ssPv3(U_569)
| ssPv2(U_569)
| ssPv1(skf1(U_569)) ),
inference(resolution,[status(thm)],[c_151,c_2271]) ).
tff(c_366,plain,
! [U_282,W_283,V_284] :
( ssPv3(U_282)
| ssPv2(W_283)
| ssPv3(V_284)
| ~ ssPv2(U_282)
| ~ ssRr(U_282,W_283)
| ~ ssRr(U_282,V_284) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_370,plain,
! [U_285,V_286] :
( ssPv3(U_285)
| ssPv2(skf1(U_285))
| ssPv3(V_286)
| ~ ssPv2(U_285)
| ~ ssRr(U_285,V_286) ),
inference(resolution,[status(thm)],[c_2,c_366]) ).
tff(c_374,plain,
! [U_287] :
( ssPv3(U_287)
| ssPv2(skf1(U_287))
| ssPv3(skf1(U_287))
| ~ ssPv2(U_287) ),
inference(resolution,[status(thm)],[c_2,c_370]) ).
tff(c_246,plain,
! [U_236,W_237,V_238] :
( ssPv1(U_236)
| ssPv4(W_237)
| ~ ssPv2(U_236)
| ~ ssRr(U_236,W_237)
| ~ ssPv3(V_238)
| ~ ssRr(U_236,V_238) ),
inference(cnfTransformation,[status(thm)],[f_432]) ).
tff(c_250,plain,
! [U_239,V_240] :
( ssPv1(U_239)
| ssPv4(skf1(U_239))
| ~ ssPv2(U_239)
| ~ ssPv3(V_240)
| ~ ssRr(U_239,V_240) ),
inference(resolution,[status(thm)],[c_2,c_246]) ).
tff(c_254,plain,
! [U_241] :
( ssPv1(U_241)
| ssPv4(skf1(U_241))
| ~ ssPv2(U_241)
| ~ ssPv3(skf1(U_241)) ),
inference(resolution,[status(thm)],[c_2,c_250]) ).
tff(c_116,plain,
! [U_168,V_169] :
( ssPv3(U_168)
| ssPv1(U_168)
| ~ ssPv2(U_168)
| ~ ssPv4(V_169)
| ~ ssRr(U_168,V_169) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_120,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv1(U_1)
| ~ ssPv2(U_1)
| ~ ssPv4(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_116]) ).
tff(c_258,plain,
! [U_241] :
( ssPv3(U_241)
| ssPv1(U_241)
| ~ ssPv2(U_241)
| ~ ssPv3(skf1(U_241)) ),
inference(resolution,[status(thm)],[c_254,c_120]) ).
tff(c_386,plain,
! [U_287] :
( ssPv1(U_287)
| ssPv3(U_287)
| ssPv2(skf1(U_287))
| ~ ssPv2(U_287) ),
inference(resolution,[status(thm)],[c_374,c_258]) ).
tff(c_134,plain,
! [U_177,V_178] :
( ssPv4(U_177)
| ssPv3(U_177)
| ~ ssPv2(U_177)
| ~ ssPv3(V_178)
| ~ ssRr(U_177,V_178) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_138,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv3(U_1)
| ~ ssPv2(U_1)
| ~ ssPv3(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_134]) ).
tff(c_389,plain,
! [U_287] :
( ssPv4(U_287)
| ssPv3(U_287)
| ssPv2(skf1(U_287))
| ~ ssPv2(U_287) ),
inference(resolution,[status(thm)],[c_374,c_138]) ).
tff(c_773,plain,
! [U_368,X_369,W_370,V_371] :
( ssPv4(U_368)
| ssPv1(X_369)
| ssPv3(W_370)
| ~ ssRr(U_368,X_369)
| ~ ssRr(U_368,W_370)
| ~ ssPv2(V_371)
| ~ ssRr(U_368,V_371) ),
inference(cnfTransformation,[status(thm)],[f_585]) ).
tff(c_1437,plain,
! [U_495,W_496,V_497] :
( ssPv4(U_495)
| ssPv1(skf1(U_495))
| ssPv3(W_496)
| ~ ssRr(U_495,W_496)
| ~ ssPv2(V_497)
| ~ ssRr(U_495,V_497) ),
inference(resolution,[status(thm)],[c_2,c_773]) ).
tff(c_1441,plain,
! [U_498,V_499] :
( ssPv4(U_498)
| ssPv1(skf1(U_498))
| ssPv3(skf1(U_498))
| ~ ssPv2(V_499)
| ~ ssRr(U_498,V_499) ),
inference(resolution,[status(thm)],[c_2,c_1437]) ).
tff(c_1445,plain,
! [U_500] :
( ssPv4(U_500)
| ssPv1(skf1(U_500))
| ssPv3(skf1(U_500))
| ~ ssPv2(skf1(U_500)) ),
inference(resolution,[status(thm)],[c_2,c_1441]) ).
tff(c_1474,plain,
! [U_501] :
( ssPv3(U_501)
| ~ ssPv2(U_501)
| ssPv4(U_501)
| ssPv1(skf1(U_501))
| ~ ssPv2(skf1(U_501)) ),
inference(resolution,[status(thm)],[c_1445,c_138]) ).
tff(c_1491,plain,
! [U_502] :
( ssPv1(skf1(U_502))
| ssPv4(U_502)
| ssPv3(U_502)
| ~ ssPv2(U_502) ),
inference(resolution,[status(thm)],[c_389,c_1474]) ).
tff(c_122,plain,
! [U_171,V_172] :
( ssPv4(U_171)
| ssPv3(U_171)
| ~ ssPv2(U_171)
| ~ ssPv1(V_172)
| ~ ssRr(U_171,V_172) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_126,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv3(U_1)
| ~ ssPv2(U_1)
| ~ ssPv1(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_122]) ).
tff(c_1529,plain,
! [U_506] :
( ssPv4(U_506)
| ssPv3(U_506)
| ~ ssPv2(U_506) ),
inference(resolution,[status(thm)],[c_1491,c_126]) ).
tff(c_1596,plain,
! [U_511] :
( ssPv3(U_511)
| ssPv1(U_511)
| ~ ssPv2(U_511)
| ssPv3(skf1(U_511))
| ~ ssPv2(skf1(U_511)) ),
inference(resolution,[status(thm)],[c_1529,c_120]) ).
tff(c_1621,plain,
! [U_512] :
( ssPv3(U_512)
| ssPv1(U_512)
| ~ ssPv2(U_512)
| ~ ssPv2(skf1(U_512)) ),
inference(resolution,[status(thm)],[c_1596,c_258]) ).
tff(c_1634,plain,
! [U_513] :
( ssPv1(U_513)
| ssPv3(U_513)
| ~ ssPv2(U_513) ),
inference(resolution,[status(thm)],[c_386,c_1621]) ).
tff(c_2217,plain,
! [U_562,V_563] :
( ssPv3(U_562)
| ~ ssPv4(U_562)
| ~ ssPv4(V_563)
| ~ ssRr(U_562,V_563)
| ssPv1(skf1(U_562))
| ~ ssPv2(skf1(U_562)) ),
inference(resolution,[status(thm)],[c_1634,c_568]) ).
tff(c_2221,plain,
! [U_564] :
( ssPv3(U_564)
| ~ ssPv4(U_564)
| ~ ssPv4(skf1(U_564))
| ssPv1(skf1(U_564))
| ~ ssPv2(skf1(U_564)) ),
inference(resolution,[status(thm)],[c_2,c_2217]) ).
tff(c_2257,plain,
! [U_1] :
( ~ ssPv4(U_1)
| ~ ssPv2(skf1(U_1))
| ssPv3(U_1)
| ssPv2(U_1)
| ssPv1(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_151,c_2221]) ).
tff(c_2344,plain,
! [U_570] :
( ~ ssPv4(U_570)
| ssPv3(U_570)
| ssPv2(U_570)
| ssPv1(skf1(U_570)) ),
inference(resolution,[status(thm)],[c_2308,c_2257]) ).
tff(c_110,plain,
! [U_165,V_166] :
( ssPv3(U_165)
| ssPv2(U_165)
| ssPv1(U_165)
| ~ ssPv1(V_166)
| ~ ssRr(U_165,V_166) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_114,plain,
! [U_1] :
( ssPv3(U_1)
| ssPv2(U_1)
| ssPv1(U_1)
| ~ ssPv1(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_110]) ).
tff(c_2378,plain,
! [U_571] :
( ssPv1(U_571)
| ~ ssPv4(U_571)
| ssPv3(U_571)
| ssPv2(U_571) ),
inference(resolution,[status(thm)],[c_2344,c_114]) ).
tff(c_2677,plain,
! [U_585] :
( ssPv3(skf1(U_585))
| ssPv2(skf1(U_585))
| ssPv3(U_585)
| ssPv2(U_585)
| ssPv1(skf1(U_585)) ),
inference(resolution,[status(thm)],[c_151,c_2378]) ).
tff(c_1169,plain,
! [U_454,X_455,W_456,V_457] :
( ssPv4(U_454)
| ssPv2(X_455)
| ~ ssRr(U_454,X_455)
| ~ ssPv3(W_456)
| ~ ssRr(U_454,W_456)
| ~ ssPv4(V_457)
| ~ ssRr(U_454,V_457) ),
inference(cnfTransformation,[status(thm)],[f_734]) ).
tff(c_1397,plain,
! [U_485,W_486,V_487] :
( ssPv4(U_485)
| ssPv2(skf1(U_485))
| ~ ssPv3(W_486)
| ~ ssRr(U_485,W_486)
| ~ ssPv4(V_487)
| ~ ssRr(U_485,V_487) ),
inference(resolution,[status(thm)],[c_2,c_1169]) ).
tff(c_1400,plain,
! [U_1,V_487] :
( ssPv4(U_1)
| ssPv2(skf1(U_1))
| ~ ssPv3(skf1(U_1))
| ~ ssPv4(V_487)
| ~ ssRr(U_1,V_487) ),
inference(resolution,[status(thm)],[c_2,c_1397]) ).
tff(c_3150,plain,
! [U_606,V_607] :
( ssPv4(U_606)
| ~ ssPv4(V_607)
| ~ ssRr(U_606,V_607)
| ssPv2(skf1(U_606))
| ssPv3(U_606)
| ssPv2(U_606)
| ssPv1(skf1(U_606)) ),
inference(resolution,[status(thm)],[c_2677,c_1400]) ).
tff(c_3195,plain,
! [U_609] :
( ssPv4(U_609)
| ~ ssPv4(skf1(U_609))
| ssPv2(skf1(U_609))
| ssPv3(U_609)
| ssPv2(U_609)
| ssPv1(skf1(U_609)) ),
inference(resolution,[status(thm)],[c_2,c_3150]) ).
tff(c_3236,plain,
! [U_610] :
( ssPv4(U_610)
| ssPv2(skf1(U_610))
| ssPv3(U_610)
| ssPv2(U_610)
| ssPv1(skf1(U_610)) ),
inference(resolution,[status(thm)],[c_151,c_3195]) ).
tff(c_194,plain,
! [U_207,W_208,V_209] :
( ssPv4(U_207)
| ssPv2(U_207)
| ssPv1(W_208)
| ~ ssRr(U_207,W_208)
| ~ ssPv2(V_209)
| ~ ssRr(U_207,V_209) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_203,plain,
! [U_211,V_212] :
( ssPv4(U_211)
| ssPv2(U_211)
| ssPv1(skf1(U_211))
| ~ ssPv2(V_212)
| ~ ssRr(U_211,V_212) ),
inference(resolution,[status(thm)],[c_2,c_194]) ).
tff(c_206,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv2(U_1)
| ssPv1(skf1(U_1))
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_203]) ).
tff(c_3264,plain,
! [U_611] :
( ssPv4(U_611)
| ssPv3(U_611)
| ssPv2(U_611)
| ssPv1(skf1(U_611)) ),
inference(resolution,[status(thm)],[c_3236,c_206]) ).
tff(c_522,plain,
! [U_317,W_318,V_319] :
( ssPv4(U_317)
| ssPv3(U_317)
| ssPv3(W_318)
| ~ ssRr(U_317,W_318)
| ~ ssPv1(V_319)
| ~ ssRr(U_317,V_319) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_530,plain,
! [U_322,V_323] :
( ssPv4(U_322)
| ssPv3(U_322)
| ssPv3(skf1(U_322))
| ~ ssPv1(V_323)
| ~ ssRr(U_322,V_323) ),
inference(resolution,[status(thm)],[c_2,c_522]) ).
tff(c_533,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv3(U_1)
| ssPv3(skf1(U_1))
| ~ ssPv1(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_530]) ).
tff(c_611,plain,
! [U_338,W_339,V_340] :
( ssPv4(U_338)
| ssPv2(U_338)
| ssPv4(W_339)
| ~ ssRr(U_338,W_339)
| ~ ssPv3(V_340)
| ~ ssRr(U_338,V_340) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_615,plain,
! [U_341,V_342] :
( ssPv4(U_341)
| ssPv2(U_341)
| ssPv4(skf1(U_341))
| ~ ssPv3(V_342)
| ~ ssRr(U_341,V_342) ),
inference(resolution,[status(thm)],[c_2,c_611]) ).
tff(c_618,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv2(U_1)
| ssPv4(skf1(U_1))
| ~ ssPv3(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_615]) ).
tff(c_534,plain,
! [U_324] :
( ssPv4(U_324)
| ssPv3(U_324)
| ssPv3(skf1(U_324))
| ~ ssPv1(skf1(U_324)) ),
inference(resolution,[status(thm)],[c_2,c_530]) ).
tff(c_178,plain,
! [U_197,W_198,V_199] :
( ssPv4(U_197)
| ssPv2(U_197)
| ~ ssPv3(W_198)
| ~ ssRr(U_197,W_198)
| ~ ssPv4(V_199)
| ~ ssRr(U_197,V_199) ),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_181,plain,
! [U_1,V_199] :
( ssPv4(U_1)
| ssPv2(U_1)
| ~ ssPv3(skf1(U_1))
| ~ ssPv4(V_199)
| ~ ssRr(U_1,V_199) ),
inference(resolution,[status(thm)],[c_2,c_178]) ).
tff(c_957,plain,
! [U_397,V_398] :
( ssPv2(U_397)
| ~ ssPv4(V_398)
| ~ ssRr(U_397,V_398)
| ssPv4(U_397)
| ssPv3(U_397)
| ~ ssPv1(skf1(U_397)) ),
inference(resolution,[status(thm)],[c_534,c_181]) ).
tff(c_961,plain,
! [U_399] :
( ssPv2(U_399)
| ~ ssPv4(skf1(U_399))
| ssPv4(U_399)
| ssPv3(U_399)
| ~ ssPv1(skf1(U_399)) ),
inference(resolution,[status(thm)],[c_2,c_957]) ).
tff(c_986,plain,
! [U_400] :
( ssPv3(U_400)
| ~ ssPv1(skf1(U_400))
| ssPv4(U_400)
| ssPv2(U_400)
| ~ ssPv3(skf1(U_400)) ),
inference(resolution,[status(thm)],[c_618,c_961]) ).
tff(c_1002,plain,
! [U_1] :
( ssPv2(U_1)
| ssPv4(U_1)
| ssPv3(U_1)
| ~ ssPv1(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_533,c_986]) ).
tff(c_3298,plain,
! [U_612] :
( ssPv4(U_612)
| ssPv3(U_612)
| ssPv2(U_612) ),
inference(resolution,[status(thm)],[c_3264,c_1002]) ).
tff(c_2335,plain,
! [U_569] :
( ~ ssPv4(U_569)
| ssPv3(U_569)
| ssPv2(U_569)
| ssPv1(skf1(U_569)) ),
inference(resolution,[status(thm)],[c_2308,c_2257]) ).
tff(c_272,plain,
! [U_248,W_249,V_250] :
( ssPv4(U_248)
| ssPv1(W_249)
| ssPv4(V_250)
| ~ ssPv1(U_248)
| ~ ssRr(U_248,W_249)
| ~ ssRr(U_248,V_250) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_292,plain,
! [U_252,V_253] :
( ssPv4(U_252)
| ssPv1(skf1(U_252))
| ssPv4(V_253)
| ~ ssPv1(U_252)
| ~ ssRr(U_252,V_253) ),
inference(resolution,[status(thm)],[c_2,c_272]) ).
tff(c_295,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv1(skf1(U_1))
| ssPv4(skf1(U_1))
| ~ ssPv1(U_1) ),
inference(resolution,[status(thm)],[c_2,c_292]) ).
tff(c_2471,plain,
! [U_578] :
( ssPv3(skf1(U_578))
| ssPv2(skf1(U_578))
| ssPv4(U_578)
| ssPv1(skf1(U_578))
| ~ ssPv1(U_578) ),
inference(resolution,[status(thm)],[c_295,c_2378]) ).
tff(c_208,plain,
! [U_214,W_215,V_216] :
( ssPv2(U_214)
| ssPv2(W_215)
| ~ ssPv1(U_214)
| ~ ssRr(U_214,W_215)
| ~ ssPv3(V_216)
| ~ ssRr(U_214,V_216) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_212,plain,
! [U_217,V_218] :
( ssPv2(U_217)
| ssPv2(skf1(U_217))
| ~ ssPv1(U_217)
| ~ ssPv3(V_218)
| ~ ssRr(U_217,V_218) ),
inference(resolution,[status(thm)],[c_2,c_208]) ).
tff(c_215,plain,
! [U_1] :
( ssPv2(U_1)
| ssPv2(skf1(U_1))
| ~ ssPv1(U_1)
| ~ ssPv3(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_212]) ).
tff(c_2500,plain,
! [U_579] :
( ssPv2(U_579)
| ssPv2(skf1(U_579))
| ssPv4(U_579)
| ssPv1(skf1(U_579))
| ~ ssPv1(U_579) ),
inference(resolution,[status(thm)],[c_2471,c_215]) ).
tff(c_152,plain,
! [U_185,W_186,V_187] :
( ssPv2(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_320]) ).
tff(c_161,plain,
! [U_189,V_190] :
( ssPv2(U_189)
| ssPv4(skf1(U_189))
| ~ ssPv1(U_189)
| ~ ssPv2(V_190)
| ~ ssRr(U_189,V_190) ),
inference(resolution,[status(thm)],[c_2,c_152]) ).
tff(c_164,plain,
! [U_1] :
( ssPv2(U_1)
| ssPv4(skf1(U_1))
| ~ ssPv1(U_1)
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_161]) ).
tff(c_819,plain,
! [X_375,U_376,W_377,V_378] :
( ssPv3(X_375)
| ~ ssPv1(U_376)
| ~ ssRr(U_376,X_375)
| ~ ssPv2(W_377)
| ~ ssRr(U_376,W_377)
| ~ ssPv4(V_378)
| ~ ssRr(U_376,V_378) ),
inference(cnfTransformation,[status(thm)],[f_794]) ).
tff(c_1098,plain,
! [U_443,W_444,V_445] :
( ssPv3(skf1(U_443))
| ~ ssPv1(U_443)
| ~ ssPv2(W_444)
| ~ ssRr(U_443,W_444)
| ~ ssPv4(V_445)
| ~ ssRr(U_443,V_445) ),
inference(resolution,[status(thm)],[c_2,c_819]) ).
tff(c_1106,plain,
! [U_450,V_451] :
( ssPv3(skf1(U_450))
| ~ ssPv1(U_450)
| ~ ssPv2(skf1(U_450))
| ~ ssPv4(V_451)
| ~ ssRr(U_450,V_451) ),
inference(resolution,[status(thm)],[c_2,c_1098]) ).
tff(c_1110,plain,
! [U_452] :
( ssPv3(skf1(U_452))
| ~ ssPv1(U_452)
| ~ ssPv2(skf1(U_452))
| ~ ssPv4(skf1(U_452)) ),
inference(resolution,[status(thm)],[c_2,c_1106]) ).
tff(c_1173,plain,
! [U_458] :
( ssPv3(skf1(U_458))
| ssPv2(U_458)
| ~ ssPv1(U_458)
| ~ ssPv2(skf1(U_458)) ),
inference(resolution,[status(thm)],[c_164,c_1110]) ).
tff(c_1225,plain,
! [U_460,V_461] :
( ssPv4(U_460)
| ~ ssPv4(V_461)
| ~ ssRr(U_460,V_461)
| ssPv2(U_460)
| ~ ssPv1(U_460)
| ~ ssPv2(skf1(U_460)) ),
inference(resolution,[status(thm)],[c_1173,c_181]) ).
tff(c_1229,plain,
! [U_462] :
( ssPv4(U_462)
| ~ ssPv4(skf1(U_462))
| ssPv2(U_462)
| ~ ssPv1(U_462)
| ~ ssPv2(skf1(U_462)) ),
inference(resolution,[status(thm)],[c_2,c_1225]) ).
tff(c_1260,plain,
! [U_1] :
( ssPv4(U_1)
| ssPv2(U_1)
| ~ ssPv1(U_1)
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_164,c_1229]) ).
tff(c_2530,plain,
! [U_579] :
( ssPv2(U_579)
| ssPv4(U_579)
| ssPv1(skf1(U_579))
| ~ ssPv1(U_579) ),
inference(resolution,[status(thm)],[c_2500,c_1260]) ).
tff(c_2536,plain,
! [U_580] :
( ssPv2(U_580)
| ssPv4(U_580)
| ssPv1(skf1(U_580))
| ~ ssPv1(U_580) ),
inference(resolution,[status(thm)],[c_2500,c_1260]) ).
tff(c_2563,plain,
! [U_580] :
( ssPv3(U_580)
| ssPv2(U_580)
| ssPv4(U_580)
| ~ ssPv1(U_580) ),
inference(resolution,[status(thm)],[c_2536,c_1002]) ).
tff(c_2570,plain,
! [U_581] :
( ssPv3(U_581)
| ssPv2(U_581)
| ssPv4(U_581)
| ~ ssPv1(U_581) ),
inference(resolution,[status(thm)],[c_2536,c_1002]) ).
tff(c_1709,plain,
! [U_1] :
( ssPv2(skf1(U_1))
| ssPv3(skf1(U_1))
| ~ ssPv4(U_1)
| ~ ssPv4(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_1706]) ).
tff(c_2603,plain,
! [U_582] :
( ~ ssPv4(U_582)
| ssPv3(skf1(U_582))
| ssPv2(skf1(U_582))
| ~ ssPv1(skf1(U_582)) ),
inference(resolution,[status(thm)],[c_2570,c_1709]) ).
tff(c_2632,plain,
! [U_583] :
( ssPv2(U_583)
| ~ ssPv1(U_583)
| ~ ssPv4(U_583)
| ssPv2(skf1(U_583))
| ~ ssPv1(skf1(U_583)) ),
inference(resolution,[status(thm)],[c_2603,c_215]) ).
tff(c_497,plain,
! [U_307,W_308,V_309] :
( ssPv2(U_307)
| ~ ssPv4(U_307)
| ~ ssPv1(W_308)
| ~ ssRr(U_307,W_308)
| ~ ssPv2(V_309)
| ~ ssRr(U_307,V_309) ),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_500,plain,
! [U_1,V_309] :
( ssPv2(U_1)
| ~ ssPv4(U_1)
| ~ ssPv1(skf1(U_1))
| ~ ssPv2(V_309)
| ~ ssRr(U_1,V_309) ),
inference(resolution,[status(thm)],[c_2,c_497]) ).
tff(c_2457,plain,
! [V_575,U_576] :
( ~ ssPv2(V_575)
| ~ ssRr(U_576,V_575)
| ~ ssPv4(U_576)
| ssPv3(U_576)
| ssPv2(U_576) ),
inference(resolution,[status(thm)],[c_2344,c_500]) ).
tff(c_2461,plain,
! [U_1] :
( ~ ssPv2(skf1(U_1))
| ~ ssPv4(U_1)
| ssPv3(U_1)
| ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_2457]) ).
tff(c_2668,plain,
! [U_584] :
( ssPv3(U_584)
| ssPv2(U_584)
| ~ ssPv1(U_584)
| ~ ssPv4(U_584)
| ~ ssPv1(skf1(U_584)) ),
inference(resolution,[status(thm)],[c_2632,c_2461]) ).
tff(c_2706,plain,
! [U_586] :
( ~ ssPv1(U_586)
| ~ ssPv4(U_586)
| ssPv3(U_586)
| ssPv2(U_586) ),
inference(resolution,[status(thm)],[c_2335,c_2668]) ).
tff(c_2747,plain,
! [U_587] :
( ssPv3(U_587)
| ssPv2(U_587)
| ~ ssPv1(U_587) ),
inference(resolution,[status(thm)],[c_2563,c_2706]) ).
tff(c_2780,plain,
! [U_588] :
( ssPv2(U_588)
| ~ ssPv1(U_588)
| ssPv2(skf1(U_588))
| ~ ssPv1(skf1(U_588)) ),
inference(resolution,[status(thm)],[c_2747,c_215]) ).
tff(c_2816,plain,
! [U_589] :
( ssPv4(U_589)
| ssPv2(U_589)
| ~ ssPv1(U_589)
| ~ ssPv1(skf1(U_589)) ),
inference(resolution,[status(thm)],[c_2780,c_1260]) ).
tff(c_2825,plain,
! [U_590] :
( ssPv2(U_590)
| ssPv4(U_590)
| ~ ssPv1(U_590) ),
inference(resolution,[status(thm)],[c_2530,c_2816]) ).
tff(c_435,plain,
! [U_296,W_297,V_298] :
( ssPv3(U_296)
| ~ ssPv4(U_296)
| ~ ssPv1(W_297)
| ~ ssRr(U_296,W_297)
| ~ ssPv4(V_298)
| ~ ssRr(U_296,V_298) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_438,plain,
! [U_1,V_298] :
( ssPv3(U_1)
| ~ ssPv4(U_1)
| ~ ssPv1(skf1(U_1))
| ~ ssPv4(V_298)
| ~ ssRr(U_1,V_298) ),
inference(resolution,[status(thm)],[c_2,c_435]) ).
tff(c_2415,plain,
! [V_572,U_573] :
( ~ ssPv4(V_572)
| ~ ssRr(U_573,V_572)
| ~ ssPv4(U_573)
| ssPv3(U_573)
| ssPv2(U_573) ),
inference(resolution,[status(thm)],[c_2344,c_438]) ).
tff(c_2419,plain,
! [U_1] :
( ~ ssPv4(skf1(U_1))
| ~ ssPv4(U_1)
| ssPv3(U_1)
| ssPv2(U_1) ),
inference(resolution,[status(thm)],[c_2,c_2415]) ).
tff(c_2922,plain,
! [U_593] :
( ~ ssPv4(U_593)
| ssPv3(U_593)
| ssPv2(U_593)
| ssPv2(skf1(U_593))
| ~ ssPv1(skf1(U_593)) ),
inference(resolution,[status(thm)],[c_2825,c_2419]) ).
tff(c_2954,plain,
! [U_594] :
( ~ ssPv4(U_594)
| ssPv3(U_594)
| ssPv2(U_594)
| ~ ssPv1(skf1(U_594)) ),
inference(resolution,[status(thm)],[c_2922,c_2461]) ).
tff(c_2958,plain,
! [U_569] :
( ~ ssPv4(U_569)
| ssPv3(U_569)
| ssPv2(U_569) ),
inference(resolution,[status(thm)],[c_2335,c_2954]) ).
tff(c_3318,plain,
! [U_612] :
( ssPv3(U_612)
| ssPv2(U_612) ),
inference(resolution,[status(thm)],[c_3298,c_2958]) ).
tff(c_186,plain,
! [U_202,W_203,V_204] :
( ssPv1(U_202)
| ssPv4(W_203)
| ~ ssPv3(U_202)
| ~ ssRr(U_202,W_203)
| ~ ssPv3(V_204)
| ~ ssRr(U_202,V_204) ),
inference(cnfTransformation,[status(thm)],[f_416]) ).
tff(c_190,plain,
! [U_205,V_206] :
( ssPv1(U_205)
| ssPv4(skf1(U_205))
| ~ ssPv3(U_205)
| ~ ssPv3(V_206)
| ~ ssRr(U_205,V_206) ),
inference(resolution,[status(thm)],[c_2,c_186]) ).
tff(c_193,plain,
! [U_1] :
( ssPv1(U_1)
| ssPv4(skf1(U_1))
| ~ ssPv3(U_1)
| ~ ssPv3(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_190]) ).
tff(c_3323,plain,
! [U_613] :
( ssPv3(U_613)
| ssPv2(U_613) ),
inference(resolution,[status(thm)],[c_3298,c_2958]) ).
tff(c_493,plain,
! [U_304,W_305,V_306] :
( ssPv1(U_304)
| ~ ssPv3(U_304)
| ~ ssPv3(W_305)
| ~ ssRr(U_304,W_305)
| ~ ssPv4(V_306)
| ~ ssRr(U_304,V_306) ),
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_496,plain,
! [U_1,V_306] :
( ssPv1(U_1)
| ~ ssPv3(U_1)
| ~ ssPv3(skf1(U_1))
| ~ ssPv4(V_306)
| ~ ssRr(U_1,V_306) ),
inference(resolution,[status(thm)],[c_2,c_493]) ).
tff(c_3847,plain,
! [U_639,V_640] :
( ssPv1(U_639)
| ~ ssPv3(U_639)
| ~ ssPv4(V_640)
| ~ ssRr(U_639,V_640)
| ssPv2(skf1(U_639)) ),
inference(resolution,[status(thm)],[c_3323,c_496]) ).
tff(c_3851,plain,
! [U_641] :
( ssPv1(U_641)
| ~ ssPv3(U_641)
| ~ ssPv4(skf1(U_641))
| ssPv2(skf1(U_641)) ),
inference(resolution,[status(thm)],[c_2,c_3847]) ).
tff(c_3908,plain,
! [U_643] :
( ssPv2(skf1(U_643))
| ssPv1(U_643)
| ~ ssPv3(U_643)
| ~ ssPv3(skf1(U_643)) ),
inference(resolution,[status(thm)],[c_193,c_3851]) ).
tff(c_3941,plain,
! [U_644] :
( ssPv1(U_644)
| ~ ssPv3(U_644)
| ssPv2(skf1(U_644)) ),
inference(resolution,[status(thm)],[c_3318,c_3908]) ).
tff(c_301,plain,
! [U_255,W_256,V_257] :
( ssPv2(U_255)
| ssPv1(U_255)
| ssPv3(W_256)
| ~ ssRr(U_255,W_256)
| ~ ssPv2(V_257)
| ~ ssRr(U_255,V_257) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_305,plain,
! [U_258,V_259] :
( ssPv2(U_258)
| ssPv1(U_258)
| ssPv3(skf1(U_258))
| ~ ssPv2(V_259)
| ~ ssRr(U_258,V_259) ),
inference(resolution,[status(thm)],[c_2,c_301]) ).
tff(c_308,plain,
! [U_1] :
( ssPv2(U_1)
| ssPv1(U_1)
| ssPv3(skf1(U_1))
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_305]) ).
tff(c_501,plain,
! [U_310,V_311] :
( ssPv1(U_310)
| ~ ssPv3(U_310)
| ~ ssPv3(skf1(U_310))
| ~ ssPv4(V_311)
| ~ ssRr(U_310,V_311) ),
inference(resolution,[status(thm)],[c_2,c_493]) ).
tff(c_640,plain,
! [U_349,V_350] :
( ~ ssPv3(U_349)
| ~ ssPv4(V_350)
| ~ ssRr(U_349,V_350)
| ssPv2(U_349)
| ssPv1(U_349)
| ~ ssPv2(skf1(U_349)) ),
inference(resolution,[status(thm)],[c_308,c_501]) ).
tff(c_648,plain,
! [U_355] :
( ~ ssPv3(U_355)
| ~ ssPv4(skf1(U_355))
| ssPv2(U_355)
| ssPv1(U_355)
| ~ ssPv2(skf1(U_355)) ),
inference(resolution,[status(thm)],[c_2,c_640]) ).
tff(c_673,plain,
! [U_356] :
( ssPv2(U_356)
| ~ ssPv2(skf1(U_356))
| ssPv1(U_356)
| ~ ssPv3(U_356)
| ~ ssPv3(skf1(U_356)) ),
inference(resolution,[status(thm)],[c_193,c_648]) ).
tff(c_691,plain,
! [U_1] :
( ~ ssPv3(U_1)
| ssPv2(U_1)
| ssPv1(U_1)
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_308,c_673]) ).
tff(c_3957,plain,
! [U_645] :
( ssPv2(U_645)
| ssPv1(U_645)
| ~ ssPv3(U_645) ),
inference(resolution,[status(thm)],[c_3941,c_691]) ).
tff(c_3983,plain,
! [U_612] :
( ssPv1(U_612)
| ssPv2(U_612) ),
inference(resolution,[status(thm)],[c_3318,c_3957]) ).
tff(c_1109,plain,
! [U_1] :
( ssPv3(skf1(U_1))
| ~ ssPv1(U_1)
| ~ ssPv2(skf1(U_1))
| ~ ssPv4(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_1106]) ).
tff(c_1545,plain,
! [U_1] :
( ~ ssPv1(U_1)
| ssPv3(skf1(U_1))
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_1529,c_1109]) ).
tff(c_1279,plain,
! [X_464,U_465,W_466,V_467] :
( ssPv4(X_464)
| ~ ssPv1(U_465)
| ~ ssRr(U_465,X_464)
| ~ ssPv2(W_466)
| ~ ssRr(U_465,W_466)
| ~ ssPv3(V_467)
| ~ ssRr(U_465,V_467) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
tff(c_1525,plain,
! [U_503,W_504,V_505] :
( ssPv4(skf1(U_503))
| ~ ssPv1(U_503)
| ~ ssPv2(W_504)
| ~ ssRr(U_503,W_504)
| ~ ssPv3(V_505)
| ~ ssRr(U_503,V_505) ),
inference(resolution,[status(thm)],[c_2,c_1279]) ).
tff(c_1575,plain,
! [U_508,V_509] :
( ssPv4(skf1(U_508))
| ~ ssPv1(U_508)
| ~ ssPv2(skf1(U_508))
| ~ ssPv3(V_509)
| ~ ssRr(U_508,V_509) ),
inference(resolution,[status(thm)],[c_2,c_1525]) ).
tff(c_1578,plain,
! [U_1] :
( ssPv4(skf1(U_1))
| ~ ssPv1(U_1)
| ~ ssPv2(skf1(U_1))
| ~ ssPv3(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_1575]) ).
tff(c_3990,plain,
! [U_646] :
( ssPv1(U_646)
| ssPv2(U_646) ),
inference(resolution,[status(thm)],[c_3318,c_3957]) ).
tff(c_229,plain,
! [W_225,U_226,V_227] :
( ssPv1(W_225)
| ~ ssPv4(U_226)
| ~ ssPv2(U_226)
| ~ ssRr(U_226,W_225)
| ~ ssPv2(V_227)
| ~ ssRr(U_226,V_227) ),
inference(cnfTransformation,[status(thm)],[f_482]) ).
tff(c_237,plain,
! [U_231,V_232] :
( ssPv1(skf1(U_231))
| ~ ssPv4(U_231)
| ~ ssPv2(U_231)
| ~ ssPv2(V_232)
| ~ ssRr(U_231,V_232) ),
inference(resolution,[status(thm)],[c_2,c_229]) ).
tff(c_240,plain,
! [U_1] :
( ssPv1(skf1(U_1))
| ~ ssPv4(U_1)
| ~ ssPv2(U_1)
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_237]) ).
tff(c_4017,plain,
! [U_648] :
( ~ ssPv4(U_648)
| ~ ssPv2(U_648)
| ssPv1(skf1(U_648)) ),
inference(resolution,[status(thm)],[c_3990,c_240]) ).
tff(c_128,plain,
! [U_174,V_175] :
( ~ ssPv4(U_174)
| ~ ssPv3(U_174)
| ~ ssPv2(U_174)
| ~ ssPv1(V_175)
| ~ ssRr(U_174,V_175) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_132,plain,
! [U_1] :
( ~ ssPv4(U_1)
| ~ ssPv3(U_1)
| ~ ssPv2(U_1)
| ~ ssPv1(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_2,c_128]) ).
tff(c_4031,plain,
! [U_649] :
( ~ ssPv3(U_649)
| ~ ssPv4(U_649)
| ~ ssPv2(U_649) ),
inference(resolution,[status(thm)],[c_4017,c_132]) ).
tff(c_4068,plain,
! [U_650] :
( ~ ssPv1(U_650)
| ~ ssPv2(skf1(U_650))
| ~ ssPv3(skf1(U_650)) ),
inference(resolution,[status(thm)],[c_1578,c_4031]) ).
tff(c_4093,plain,
! [U_651] :
( ~ ssPv1(U_651)
| ~ ssPv2(skf1(U_651)) ),
inference(resolution,[status(thm)],[c_1545,c_4068]) ).
tff(c_4118,plain,
! [U_651] :
( ~ ssPv1(U_651)
| ssPv1(skf1(U_651)) ),
inference(resolution,[status(thm)],[c_3983,c_4093]) ).
tff(c_3350,plain,
! [U_1] :
( ssPv2(U_1)
| ~ ssPv1(U_1)
| ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_3323,c_215]) ).
tff(c_4126,plain,
! [U_652] :
( ssPv2(U_652)
| ~ ssPv1(U_652) ),
inference(resolution,[status(thm)],[c_3350,c_4093]) ).
tff(c_4090,plain,
! [U_1] :
( ~ ssPv1(U_1)
| ~ ssPv2(skf1(U_1)) ),
inference(resolution,[status(thm)],[c_1545,c_4068]) ).
tff(c_4145,plain,
! [U_654] :
( ~ ssPv1(U_654)
| ~ ssPv1(skf1(U_654)) ),
inference(resolution,[status(thm)],[c_4126,c_4090]) ).
tff(c_4158,plain,
! [U_651] : ~ ssPv1(U_651),
inference(resolution,[status(thm)],[c_4118,c_4145]) ).
tff(c_1632,plain,
! [U_287] :
( ssPv1(U_287)
| ssPv3(U_287)
| ~ ssPv2(U_287) ),
inference(resolution,[status(thm)],[c_386,c_1621]) ).
tff(c_2134,plain,
! [U_557,V_558] :
( ssPv1(U_557)
| ~ ssPv3(U_557)
| ~ ssPv4(V_558)
| ~ ssRr(U_557,V_558)
| ssPv1(skf1(U_557))
| ~ ssPv2(skf1(U_557)) ),
inference(resolution,[status(thm)],[c_1634,c_496]) ).
tff(c_2138,plain,
! [U_559] :
( ssPv1(U_559)
| ~ ssPv3(U_559)
| ~ ssPv4(skf1(U_559))
| ssPv1(skf1(U_559))
| ~ ssPv2(skf1(U_559)) ),
inference(resolution,[status(thm)],[c_2,c_2134]) ).
tff(c_2175,plain,
! [U_560] :
( ssPv1(skf1(U_560))
| ~ ssPv2(skf1(U_560))
| ssPv1(U_560)
| ~ ssPv3(U_560)
| ~ ssPv3(skf1(U_560)) ),
inference(resolution,[status(thm)],[c_193,c_2138]) ).
tff(c_2201,plain,
! [U_560] :
( ssPv1(U_560)
| ~ ssPv3(U_560)
| ssPv1(skf1(U_560))
| ~ ssPv2(skf1(U_560)) ),
inference(resolution,[status(thm)],[c_1632,c_2175]) ).
tff(c_3953,plain,
! [U_644] :
( ssPv1(skf1(U_644))
| ssPv1(U_644)
| ~ ssPv3(U_644) ),
inference(resolution,[status(thm)],[c_3941,c_2201]) ).
tff(c_4164,plain,
! [U_644] : ~ ssPv3(U_644),
inference(negUnitSimplification,[status(thm)],[c_4158,c_4158,c_3953]) ).
tff(c_4209,plain,
! [U_612] : ssPv2(U_612),
inference(negUnitSimplification,[status(thm)],[c_4164,c_3318]) ).
tff(c_4175,plain,
! [U_287] :
( ssPv3(U_287)
| ~ ssPv2(U_287) ),
inference(negUnitSimplification,[status(thm)],[c_4158,c_1632]) ).
tff(c_4245,plain,
! [U_287] : ssPv3(U_287),
inference(demodulation,[status(thm),theory(equality)],[c_4209,c_4175]) ).
tff(c_4246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4164,c_4245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN755-1 : 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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:18:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 8.93/3.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.93/3.20
% 8.93/3.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.24/3.27
% 9.24/3.27 Inference rules
% 9.24/3.27 ----------------------
% 9.24/3.27 #Ref : 0
% 9.24/3.27 #Sup : 1005
% 9.24/3.27 #Fact : 0
% 9.24/3.27 #Define : 0
% 9.24/3.27 #Split : 0
% 9.24/3.27 #Chain : 0
% 9.24/3.27 #Close : 0
% 9.24/3.27
% 9.24/3.27 Ordering : KBO
% 9.24/3.27
% 9.24/3.27 Simplification rules
% 9.24/3.27 ----------------------
% 9.24/3.27 #Subsume : 653
% 9.24/3.27 #Demod : 11
% 9.24/3.27 #Tautology : 323
% 9.24/3.27 #SimpNegUnit : 65
% 9.24/3.27 #BackRed : 41
% 9.24/3.27
% 9.24/3.27 #Partial instantiations: 0
% 9.24/3.27 #Strategies tried : 1
% 9.24/3.27
% 9.24/3.27 Timing (in seconds)
% 9.24/3.27 ----------------------
% 9.24/3.27 Preprocessing : 0.61
% 9.24/3.27 Parsing : 0.33
% 9.24/3.27 CNF conversion : 0.04
% 9.24/3.27 Main loop : 1.42
% 9.24/3.27 Inferencing : 0.48
% 9.24/3.27 Reduction : 0.25
% 9.24/3.27 Demodulation : 0.16
% 9.24/3.27 BG Simplification : 0.06
% 9.24/3.27 Subsumption : 0.56
% 9.24/3.27 Abstraction : 0.03
% 9.24/3.27 MUC search : 0.00
% 9.24/3.27 Cooper : 0.00
% 9.24/3.27 Total : 2.13
% 9.24/3.27 Index Insertion : 0.00
% 9.24/3.27 Index Deletion : 0.00
% 9.24/3.27 Index Matching : 0.00
% 9.24/3.27 BG Taut test : 0.00
%------------------------------------------------------------------------------