%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS161+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:41:48 AM UTC 2026
% Result : Theorem 2.86s 1.33s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 115
% Syntax : Number of formulae : 452 ( 174 unt; 49 def)
% Number of atoms : 1473 ( 0 equ)
% Maximal formula atoms : 51 ( 3 avg)
% Number of connectives : 1731 ( 710 ~; 716 |; 227 &)
% ( 69 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 51 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 94 ( 93 usr; 50 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-1 aty)
% Number of variables : 128 ( 0 sgn 118 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f12,axiom,
! [X0] :
( cC106(X0)
<=> ( cC104(X0)
& cC100xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f13,axiom,
! [X0] :
( cC108(X0)
<=> ( cC28(X0)
& cC106(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f53,axiom,
! [X0] :
( cC34(X0)
<=> ( cC30xcomp(X0)
& cC32xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f58,axiom,
! [X0] :
( cC38(X0)
<=> ( cTOP(X0)
& cC36xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f66,axiom,
! [X0] :
( cC42(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC8xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f67,axiom,
! [X0] :
( cC44(X0)
<=> ( cC40xcomp(X0)
& cC42(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
fof(f74,axiom,
! [X0] :
( cC50(X0)
<=> ( cC46xcomp(X0)
& cC48xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
fof(f83,axiom,
! [X0] :
( cC56(X0)
<=> ( cC54xcomp(X0)
& cC44(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(f92,axiom,
! [X0] :
( cC60(X0)
<=> ? [X1] :
( rR1(X0,X1)
& cC12xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).
fof(f93,axiom,
! [X0] :
( cC62(X0)
<=> ( cC60(X0)
& cC58xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).
fof(f101,axiom,
! [X0] :
( cC68(X0)
<=> ( cC64xcomp(X0)
& cC66xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
fof(f113,axiom,
! [X0] :
( cC76(X0)
<=> ( cC74xcomp(X0)
& cC62(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
fof(f121,axiom,
! [X0] :
( cC82(X0)
<=> ( cC80(X0)
& cC78xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
fof(f129,axiom,
! [X0] :
( cC88(X0)
<=> ( cC84xcomp(X0)
& cC86xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
fof(f144,axiom,
! [X0] :
( cC98(X0)
<=> ( cC96xcomp(X0)
& cC82(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_143) ).
fof(f146,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC108(X0)
& cC130(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_145) ).
fof(f147,axiom,
! [X0] :
( rR1(iV16439,X0)
=> cC98(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_146) ).
fof(f148,axiom,
cowlThing(iV16439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).
fof(f150,axiom,
cTEST(iV16439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
fof(f151,axiom,
rR1(iV16439,iV16440),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_150) ).
fof(f154,axiom,
cowlThing(iV16440),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).
fof(f155,axiom,
cC96xcomp(iV16440),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_154) ).
fof(f157,axiom,
! [X0] :
( rR1(iV16440,X0)
=> cC76(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_156) ).
fof(f160,axiom,
rR1(iV16440,iV16463),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_159) ).
fof(f163,axiom,
cowlThing(iV16448),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).
fof(f164,axiom,
cTOP(iV16448),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_163) ).
fof(f169,axiom,
cC36xcomp(iV16448),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
fof(f175,axiom,
cC74xcomp(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_174) ).
fof(f176,axiom,
cowlThing(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_175) ).
fof(f179,axiom,
! [X0] :
( rR1(iV16453,X0)
=> cC56(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_178) ).
fof(f182,axiom,
cC58xcomp(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_181) ).
fof(f183,axiom,
rR1(iV16453,iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_182) ).
fof(f185,axiom,
cowlThing(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_184) ).
fof(f186,axiom,
cC40xcomp(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_185) ).
fof(f189,axiom,
! [X0] :
( rR1(iV16455,X0)
=> cC38(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_188) ).
fof(f191,axiom,
cC54xcomp(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_190) ).
fof(f194,axiom,
rR1(iV16455,iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_193) ).
fof(f196,axiom,
cowlThing(iV16457),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_195) ).
fof(f198,axiom,
cTOP(iV16457),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_197) ).
fof(f202,axiom,
cC36xcomp(iV16457),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_201) ).
fof(f206,axiom,
cowlThing(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_205) ).
fof(f210,axiom,
cC30xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_209) ).
fof(f211,axiom,
cC84xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_210) ).
fof(f213,axiom,
cC46xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_212) ).
fof(f214,axiom,
cC64xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_213) ).
fof(f216,axiom,
cC86xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_215) ).
fof(f217,axiom,
cC32xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_216) ).
fof(f218,axiom,
cC48xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_217) ).
fof(f222,axiom,
cC66xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_221) ).
fof(f224,axiom,
cowlThing(iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_223) ).
fof(f228,axiom,
cC8xcomp(iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_227) ).
fof(f234,axiom,
cowlThing(iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_233) ).
fof(f238,axiom,
cC12xcomp(iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_237) ).
fof(f242,axiom,
! [X0] :
( rR1(iV16461,X0)
=> cC38(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_241) ).
fof(f244,axiom,
rR1(iV16461,iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_243) ).
fof(f247,axiom,
cowlThing(iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_246) ).
fof(f257,axiom,
cowlThing(iV16463),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_256) ).
fof(f262,axiom,
! [X0] :
( rR1(iV16463,X0)
=> cC56(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_261) ).
fof(f264,axiom,
rR1(iV16463,iV16464),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_263) ).
fof(f265,axiom,
cowlThing(iV16464),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_264) ).
fof(f266,axiom,
! [X0] :
( rR1(iV16464,X0)
=> cC38(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_265) ).
fof(f275,axiom,
rR1(iV16464,iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_274) ).
fof(f277,axiom,
cowlThing(iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_276) ).
fof(f287,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC130(iV16439)
& cC108(iV16439)
& cC104(iV16439)
& cC106(iV16439)
& cC28(iV16439)
& cowlThing(iV16439)
& cC98(iV16440)
& cC80(iV16440)
& cC82(iV16440)
& cowlThing(iV16440)
& cC38(iV16448)
& cowlThing(iV16448)
& cC76(iV16453)
& cC62(iV16453)
& cowlThing(iV16453)
& cC60(iV16453)
& cC56(iV16455)
& cC44(iV16455)
& cC42(iV16455)
& cowlThing(iV16455)
& cC38(iV16457)
& cowlThing(iV16457)
& cC50(iV16459)
& cC88(iV16459)
& cC34(iV16459)
& cC68(iV16459)
& cowlThing(iV16459)
& cC38(iV16460)
& cowlThing(iV16460)
& cC42(iV16461)
& cC56(iV16461)
& cC44(iV16461)
& cowlThing(iV16461)
& cC38(iV16462)
& cowlThing(iV16462)
& cC76(iV16463)
& cC62(iV16463)
& cowlThing(iV16463)
& cC60(iV16463)
& cC56(iV16464)
& cC42(iV16464)
& cC44(iV16464)
& cowlThing(iV16464)
& cC38(iV16465)
& cowlThing(iV16465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f288,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC130(iV16439)
& cC108(iV16439)
& cC104(iV16439)
& cC106(iV16439)
& cC28(iV16439)
& cowlThing(iV16439)
& cC98(iV16440)
& cC80(iV16440)
& cC82(iV16440)
& cowlThing(iV16440)
& cC38(iV16448)
& cowlThing(iV16448)
& cC76(iV16453)
& cC62(iV16453)
& cowlThing(iV16453)
& cC60(iV16453)
& cC56(iV16455)
& cC44(iV16455)
& cC42(iV16455)
& cowlThing(iV16455)
& cC38(iV16457)
& cowlThing(iV16457)
& cC50(iV16459)
& cC88(iV16459)
& cC34(iV16459)
& cC68(iV16459)
& cowlThing(iV16459)
& cC38(iV16460)
& cowlThing(iV16460)
& cC42(iV16461)
& cC56(iV16461)
& cC44(iV16461)
& cowlThing(iV16461)
& cC38(iV16462)
& cowlThing(iV16462)
& cC76(iV16463)
& cC62(iV16463)
& cowlThing(iV16463)
& cC60(iV16463)
& cC56(iV16464)
& cC42(iV16464)
& cC44(iV16464)
& cowlThing(iV16464)
& cC38(iV16465)
& cowlThing(iV16465) ),
inference(negated_conjecture,[status(cth)],[f287]) ).
fof(f289,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC130(iV16439)
& cC108(iV16439)
& cC104(iV16439)
& cC106(iV16439)
& cC28(iV16439)
& cowlThing(iV16439)
& cC98(iV16440)
& cC80(iV16440)
& cC82(iV16440)
& cowlThing(iV16440)
& cC38(iV16448)
& cowlThing(iV16448)
& cC76(iV16453)
& cC62(iV16453)
& cowlThing(iV16453)
& cC60(iV16453)
& cC56(iV16455)
& cC44(iV16455)
& cC42(iV16455)
& cowlThing(iV16455)
& cC38(iV16457)
& cowlThing(iV16457)
& cC50(iV16459)
& cC88(iV16459)
& cC34(iV16459)
& cC68(iV16459)
& cowlThing(iV16459)
& cC38(iV16460)
& cowlThing(iV16460)
& cC42(iV16461)
& cC56(iV16461)
& cC44(iV16461)
& cowlThing(iV16461)
& cC38(iV16462)
& cowlThing(iV16462)
& cC76(iV16463)
& cC62(iV16463)
& cowlThing(iV16463)
& cC60(iV16463)
& cC56(iV16464)
& cC42(iV16464)
& cC44(iV16464)
& cowlThing(iV16464)
& cC38(iV16465)
& cowlThing(iV16465) ),
inference(rectify,[],[f288]) ).
fof(f290,plain,
! [X0] :
( cTEST(X0)
=> ( cC108(X0)
& cC130(X0) ) ),
inference(unused_predicate_definition_removal,[],[f146]) ).
fof(f346,plain,
! [X0] :
( ( cC108(X0)
& cC130(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f290]) ).
fof(f347,plain,
! [X0] :
( cC98(X0)
| ~ rR1(iV16439,X0) ),
inference(ennf_transformation,[],[f147]) ).
fof(f349,plain,
! [X0] :
( cC76(X0)
| ~ rR1(iV16440,X0) ),
inference(ennf_transformation,[],[f157]) ).
fof(f355,plain,
! [X0] :
( cC56(X0)
| ~ rR1(iV16453,X0) ),
inference(ennf_transformation,[],[f179]) ).
fof(f359,plain,
! [X0] :
( cC38(X0)
| ~ rR1(iV16455,X0) ),
inference(ennf_transformation,[],[f189]) ).
fof(f372,plain,
! [X0] :
( cC38(X0)
| ~ rR1(iV16461,X0) ),
inference(ennf_transformation,[],[f242]) ).
fof(f379,plain,
! [X0] :
( cC56(X0)
| ~ rR1(iV16463,X0) ),
inference(ennf_transformation,[],[f262]) ).
fof(f380,plain,
! [X0] :
( cC38(X0)
| ~ rR1(iV16464,X0) ),
inference(ennf_transformation,[],[f266]) ).
fof(f388,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC130(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cowlThing(iV16439)
| ~ cC98(iV16440)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cowlThing(iV16440)
| ~ cC38(iV16448)
| ~ cowlThing(iV16448)
| ~ cC76(iV16453)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC60(iV16453)
| ~ cC56(iV16455)
| ~ cC44(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16455)
| ~ cC38(iV16457)
| ~ cowlThing(iV16457)
| ~ cC50(iV16459)
| ~ cC88(iV16459)
| ~ cC34(iV16459)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC38(iV16460)
| ~ cowlThing(iV16460)
| ~ cC42(iV16461)
| ~ cC56(iV16461)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC38(iV16462)
| ~ cowlThing(iV16462)
| ~ cC76(iV16463)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC38(iV16465)
| ~ cowlThing(iV16465) ),
inference(ennf_transformation,[],[f289]) ).
fof(f389,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f411,plain,
! [X0] :
( ( cC106(X0)
| ~ cC104(X0)
| ~ cC100xcomp(X0) )
& ( ( cC104(X0)
& cC100xcomp(X0) )
| ~ cC106(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f412,plain,
! [X0] :
( ( cC106(X0)
| ~ cC104(X0)
| ~ cC100xcomp(X0) )
& ( ( cC104(X0)
& cC100xcomp(X0) )
| ~ cC106(X0) ) ),
inference(flattening,[],[f411]) ).
fof(f413,plain,
! [X0] :
( ( cC108(X0)
| ~ cC28(X0)
| ~ cC106(X0) )
& ( ( cC28(X0)
& cC106(X0) )
| ~ cC108(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f414,plain,
! [X0] :
( ( cC108(X0)
| ~ cC28(X0)
| ~ cC106(X0) )
& ( ( cC28(X0)
& cC106(X0) )
| ~ cC108(X0) ) ),
inference(flattening,[],[f413]) ).
fof(f515,plain,
! [X0] :
( ( cC34(X0)
| ~ cC30xcomp(X0)
| ~ cC32xcomp(X0) )
& ( ( cC30xcomp(X0)
& cC32xcomp(X0) )
| ~ cC34(X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f516,plain,
! [X0] :
( ( cC34(X0)
| ~ cC30xcomp(X0)
| ~ cC32xcomp(X0) )
& ( ( cC30xcomp(X0)
& cC32xcomp(X0) )
| ~ cC34(X0) ) ),
inference(flattening,[],[f515]) ).
fof(f529,plain,
! [X0] :
( ( cC38(X0)
| ~ cTOP(X0)
| ~ cC36xcomp(X0) )
& ( ( cTOP(X0)
& cC36xcomp(X0) )
| ~ cC38(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f530,plain,
! [X0] :
( ( cC38(X0)
| ~ cTOP(X0)
| ~ cC36xcomp(X0) )
& ( ( cTOP(X0)
& cC36xcomp(X0) )
| ~ cC38(X0) ) ),
inference(flattening,[],[f529]) ).
fof(f552,plain,
! [X0] :
( ( cC42(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC8xcomp(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& cC8xcomp(X1) )
| ~ cC42(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f553,plain,
! [X0] :
( ( cC42(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC8xcomp(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& cC8xcomp(X2) )
| ~ cC42(X0) ) ),
inference(rectify,[],[f552]) ).
fof(f554,plain,
! [X0] :
( ( cC42(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC8xcomp(X1) ) )
& ( ( rR1(X0,sK46(X0))
& cC8xcomp(sK46(X0)) )
| ~ cC42(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X2,sK46(X0))],[f553]) ).
fof(f555,plain,
! [X0] :
( ( cC44(X0)
| ~ cC40xcomp(X0)
| ~ cC42(X0) )
& ( ( cC40xcomp(X0)
& cC42(X0) )
| ~ cC44(X0) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f556,plain,
! [X0] :
( ( cC44(X0)
| ~ cC40xcomp(X0)
| ~ cC42(X0) )
& ( ( cC40xcomp(X0)
& cC42(X0) )
| ~ cC44(X0) ) ),
inference(flattening,[],[f555]) ).
fof(f573,plain,
! [X0] :
( ( cC50(X0)
| ~ cC46xcomp(X0)
| ~ cC48xcomp(X0) )
& ( ( cC46xcomp(X0)
& cC48xcomp(X0) )
| ~ cC50(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f574,plain,
! [X0] :
( ( cC50(X0)
| ~ cC46xcomp(X0)
| ~ cC48xcomp(X0) )
& ( ( cC46xcomp(X0)
& cC48xcomp(X0) )
| ~ cC50(X0) ) ),
inference(flattening,[],[f573]) ).
fof(f597,plain,
! [X0] :
( ( cC56(X0)
| ~ cC54xcomp(X0)
| ~ cC44(X0) )
& ( ( cC54xcomp(X0)
& cC44(X0) )
| ~ cC56(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f598,plain,
! [X0] :
( ( cC56(X0)
| ~ cC54xcomp(X0)
| ~ cC44(X0) )
& ( ( cC54xcomp(X0)
& cC44(X0) )
| ~ cC56(X0) ) ),
inference(flattening,[],[f597]) ).
fof(f619,plain,
! [X0] :
( ( cC60(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC12xcomp(X1) ) )
& ( ? [X1] :
( rR1(X0,X1)
& cC12xcomp(X1) )
| ~ cC60(X0) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f620,plain,
! [X0] :
( ( cC60(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC12xcomp(X1) ) )
& ( ? [X2] :
( rR1(X0,X2)
& cC12xcomp(X2) )
| ~ cC60(X0) ) ),
inference(rectify,[],[f619]) ).
fof(f621,plain,
! [X0] :
( ( cC60(X0)
| ! [X1] :
( ~ rR1(X0,X1)
| ~ cC12xcomp(X1) ) )
& ( ( rR1(X0,sK65(X0))
& cC12xcomp(sK65(X0)) )
| ~ cC60(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X2,sK65(X0))],[f620]) ).
fof(f622,plain,
! [X0] :
( ( cC62(X0)
| ~ cC60(X0)
| ~ cC58xcomp(X0) )
& ( ( cC60(X0)
& cC58xcomp(X0) )
| ~ cC62(X0) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f623,plain,
! [X0] :
( ( cC62(X0)
| ~ cC60(X0)
| ~ cC58xcomp(X0) )
& ( ( cC60(X0)
& cC58xcomp(X0) )
| ~ cC62(X0) ) ),
inference(flattening,[],[f622]) ).
fof(f643,plain,
! [X0] :
( ( cC68(X0)
| ~ cC64xcomp(X0)
| ~ cC66xcomp(X0) )
& ( ( cC64xcomp(X0)
& cC66xcomp(X0) )
| ~ cC68(X0) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f644,plain,
! [X0] :
( ( cC68(X0)
| ~ cC64xcomp(X0)
| ~ cC66xcomp(X0) )
& ( ( cC64xcomp(X0)
& cC66xcomp(X0) )
| ~ cC68(X0) ) ),
inference(flattening,[],[f643]) ).
fof(f673,plain,
! [X0] :
( ( cC76(X0)
| ~ cC74xcomp(X0)
| ~ cC62(X0) )
& ( ( cC74xcomp(X0)
& cC62(X0) )
| ~ cC76(X0) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f674,plain,
! [X0] :
( ( cC76(X0)
| ~ cC74xcomp(X0)
| ~ cC62(X0) )
& ( ( cC74xcomp(X0)
& cC62(X0) )
| ~ cC76(X0) ) ),
inference(flattening,[],[f673]) ).
fof(f696,plain,
! [X0] :
( ( cC82(X0)
| ~ cC80(X0)
| ~ cC78xcomp(X0) )
& ( ( cC80(X0)
& cC78xcomp(X0) )
| ~ cC82(X0) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f697,plain,
! [X0] :
( ( cC82(X0)
| ~ cC80(X0)
| ~ cC78xcomp(X0) )
& ( ( cC80(X0)
& cC78xcomp(X0) )
| ~ cC82(X0) ) ),
inference(flattening,[],[f696]) ).
fof(f717,plain,
! [X0] :
( ( cC88(X0)
| ~ cC84xcomp(X0)
| ~ cC86xcomp(X0) )
& ( ( cC84xcomp(X0)
& cC86xcomp(X0) )
| ~ cC88(X0) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f718,plain,
! [X0] :
( ( cC88(X0)
| ~ cC84xcomp(X0)
| ~ cC86xcomp(X0) )
& ( ( cC84xcomp(X0)
& cC86xcomp(X0) )
| ~ cC88(X0) ) ),
inference(flattening,[],[f717]) ).
fof(f752,plain,
! [X0] :
( ( cC98(X0)
| ~ cC96xcomp(X0)
| ~ cC82(X0) )
& ( ( cC96xcomp(X0)
& cC82(X0) )
| ~ cC98(X0) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f753,plain,
! [X0] :
( ( cC98(X0)
| ~ cC96xcomp(X0)
| ~ cC82(X0) )
& ( ( cC96xcomp(X0)
& cC82(X0) )
| ~ cC98(X0) ) ),
inference(flattening,[],[f752]) ).
fof(f757,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC130(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cowlThing(iV16439)
| ~ cC98(iV16440)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cowlThing(iV16440)
| ~ cC38(iV16448)
| ~ cowlThing(iV16448)
| ~ cC76(iV16453)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC60(iV16453)
| ~ cC56(iV16455)
| ~ cC44(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16455)
| ~ cC38(iV16457)
| ~ cowlThing(iV16457)
| ~ cC50(iV16459)
| ~ cC88(iV16459)
| ~ cC34(iV16459)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC38(iV16460)
| ~ cowlThing(iV16460)
| ~ cC42(iV16461)
| ~ cC56(iV16461)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC38(iV16462)
| ~ cowlThing(iV16462)
| ~ cC76(iV16463)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC38(iV16465)
| ~ cowlThing(iV16465) ),
inference(nnf_transformation,[],[f388]) ).
fof(f758,plain,
( ~ cowlThing(sK105)
| cowlNothing(sK105)
| ( ( xsd_integer(sK106)
| ~ xsd_string(sK106) )
& ( ~ xsd_integer(sK106)
| xsd_string(sK106) ) )
| ~ cC130(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cowlThing(iV16439)
| ~ cC98(iV16440)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cowlThing(iV16440)
| ~ cC38(iV16448)
| ~ cowlThing(iV16448)
| ~ cC76(iV16453)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC60(iV16453)
| ~ cC56(iV16455)
| ~ cC44(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16455)
| ~ cC38(iV16457)
| ~ cowlThing(iV16457)
| ~ cC50(iV16459)
| ~ cC88(iV16459)
| ~ cC34(iV16459)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC38(iV16460)
| ~ cowlThing(iV16460)
| ~ cC42(iV16461)
| ~ cC56(iV16461)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC38(iV16462)
| ~ cowlThing(iV16462)
| ~ cC76(iV16463)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC38(iV16465)
| ~ cowlThing(iV16465) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105,sK106]),skolemize(X0,sK105),skolemize(X1,sK106)],[f757]) ).
fof(f759,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f760,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f761,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f762,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f782,plain,
! [X0] :
( ~ cC106(X0)
| cC104(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f784,plain,
! [X0] :
( ~ cC108(X0)
| cC106(X0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f785,plain,
! [X0] :
( cC28(X0)
| ~ cC108(X0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f880,plain,
! [X0] :
( cC34(X0)
| ~ cC30xcomp(X0)
| ~ cC32xcomp(X0) ),
inference(cnf_transformation,[],[f516]) ).
fof(f892,plain,
! [X0] :
( cC38(X0)
| ~ cTOP(X0)
| ~ cC36xcomp(X0) ),
inference(cnf_transformation,[],[f530]) ).
fof(f910,plain,
! [X0,X1] :
( cC42(X0)
| ~ rR1(X0,X1)
| ~ cC8xcomp(X1) ),
inference(cnf_transformation,[],[f554]) ).
fof(f911,plain,
! [X0] :
( ~ cC44(X0)
| cC42(X0) ),
inference(cnf_transformation,[],[f556]) ).
fof(f913,plain,
! [X0] :
( cC44(X0)
| ~ cC40xcomp(X0)
| ~ cC42(X0) ),
inference(cnf_transformation,[],[f556]) ).
fof(f930,plain,
! [X0] :
( cC50(X0)
| ~ cC46xcomp(X0)
| ~ cC48xcomp(X0) ),
inference(cnf_transformation,[],[f574]) ).
fof(f948,plain,
! [X0] :
( ~ cC56(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f598]) ).
fof(f950,plain,
! [X0] :
( cC56(X0)
| ~ cC54xcomp(X0)
| ~ cC44(X0) ),
inference(cnf_transformation,[],[f598]) ).
fof(f970,plain,
! [X0,X1] :
( cC60(X0)
| ~ rR1(X0,X1)
| ~ cC12xcomp(X1) ),
inference(cnf_transformation,[],[f621]) ).
fof(f972,plain,
! [X0] :
( ~ cC62(X0)
| cC60(X0) ),
inference(cnf_transformation,[],[f623]) ).
fof(f973,plain,
! [X0] :
( ~ cC60(X0)
| cC62(X0)
| ~ cC58xcomp(X0) ),
inference(cnf_transformation,[],[f623]) ).
fof(f992,plain,
! [X0] :
( ~ cC66xcomp(X0)
| ~ cC64xcomp(X0)
| cC68(X0) ),
inference(cnf_transformation,[],[f644]) ).
fof(f1016,plain,
! [X0] :
( ~ cC76(X0)
| cC62(X0) ),
inference(cnf_transformation,[],[f674]) ).
fof(f1018,plain,
! [X0] :
( ~ cC62(X0)
| ~ cC74xcomp(X0)
| cC76(X0) ),
inference(cnf_transformation,[],[f674]) ).
fof(f1036,plain,
! [X0] :
( ~ cC82(X0)
| cC80(X0) ),
inference(cnf_transformation,[],[f697]) ).
fof(f1056,plain,
! [X0] :
( ~ cC86xcomp(X0)
| ~ cC84xcomp(X0)
| cC88(X0) ),
inference(cnf_transformation,[],[f718]) ).
fof(f1086,plain,
! [X0] :
( ~ cC98(X0)
| cC82(X0) ),
inference(cnf_transformation,[],[f753]) ).
fof(f1088,plain,
! [X0] :
( ~ cC82(X0)
| ~ cC96xcomp(X0)
| cC98(X0) ),
inference(cnf_transformation,[],[f753]) ).
fof(f1091,plain,
! [X0] :
( cC130(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f1092,plain,
! [X0] :
( ~ cTEST(X0)
| cC108(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f1093,plain,
! [X0] :
( cC98(X0)
| ~ rR1(iV16439,X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f1094,plain,
cowlThing(iV16439),
inference(cnf_transformation,[],[f148]) ).
fof(f1096,plain,
cTEST(iV16439),
inference(cnf_transformation,[],[f150]) ).
fof(f1097,plain,
rR1(iV16439,iV16440),
inference(cnf_transformation,[],[f151]) ).
fof(f1100,plain,
cowlThing(iV16440),
inference(cnf_transformation,[],[f154]) ).
fof(f1101,plain,
cC96xcomp(iV16440),
inference(cnf_transformation,[],[f155]) ).
fof(f1103,plain,
! [X0] :
( ~ rR1(iV16440,X0)
| cC76(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f1106,plain,
rR1(iV16440,iV16463),
inference(cnf_transformation,[],[f160]) ).
fof(f1109,plain,
cowlThing(iV16448),
inference(cnf_transformation,[],[f163]) ).
fof(f1110,plain,
cTOP(iV16448),
inference(cnf_transformation,[],[f164]) ).
fof(f1115,plain,
cC36xcomp(iV16448),
inference(cnf_transformation,[],[f169]) ).
fof(f1121,plain,
cC74xcomp(iV16453),
inference(cnf_transformation,[],[f175]) ).
fof(f1122,plain,
cowlThing(iV16453),
inference(cnf_transformation,[],[f176]) ).
fof(f1125,plain,
! [X0] :
( ~ rR1(iV16453,X0)
| cC56(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f1128,plain,
cC58xcomp(iV16453),
inference(cnf_transformation,[],[f182]) ).
fof(f1129,plain,
rR1(iV16453,iV16461),
inference(cnf_transformation,[],[f183]) ).
fof(f1131,plain,
cowlThing(iV16455),
inference(cnf_transformation,[],[f185]) ).
fof(f1132,plain,
cC40xcomp(iV16455),
inference(cnf_transformation,[],[f186]) ).
fof(f1135,plain,
! [X0] :
( ~ rR1(iV16455,X0)
| cC38(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f1137,plain,
cC54xcomp(iV16455),
inference(cnf_transformation,[],[f191]) ).
fof(f1140,plain,
rR1(iV16455,iV16460),
inference(cnf_transformation,[],[f194]) ).
fof(f1142,plain,
cowlThing(iV16457),
inference(cnf_transformation,[],[f196]) ).
fof(f1144,plain,
cTOP(iV16457),
inference(cnf_transformation,[],[f198]) ).
fof(f1148,plain,
cC36xcomp(iV16457),
inference(cnf_transformation,[],[f202]) ).
fof(f1152,plain,
cowlThing(iV16459),
inference(cnf_transformation,[],[f206]) ).
fof(f1156,plain,
cC30xcomp(iV16459),
inference(cnf_transformation,[],[f210]) ).
fof(f1157,plain,
cC84xcomp(iV16459),
inference(cnf_transformation,[],[f211]) ).
fof(f1159,plain,
cC46xcomp(iV16459),
inference(cnf_transformation,[],[f213]) ).
fof(f1160,plain,
cC64xcomp(iV16459),
inference(cnf_transformation,[],[f214]) ).
fof(f1162,plain,
cC86xcomp(iV16459),
inference(cnf_transformation,[],[f216]) ).
fof(f1163,plain,
cC32xcomp(iV16459),
inference(cnf_transformation,[],[f217]) ).
fof(f1164,plain,
cC48xcomp(iV16459),
inference(cnf_transformation,[],[f218]) ).
fof(f1168,plain,
cC66xcomp(iV16459),
inference(cnf_transformation,[],[f222]) ).
fof(f1170,plain,
cowlThing(iV16460),
inference(cnf_transformation,[],[f224]) ).
fof(f1174,plain,
cC8xcomp(iV16460),
inference(cnf_transformation,[],[f228]) ).
fof(f1180,plain,
cowlThing(iV16461),
inference(cnf_transformation,[],[f234]) ).
fof(f1184,plain,
cC12xcomp(iV16461),
inference(cnf_transformation,[],[f238]) ).
fof(f1188,plain,
! [X0] :
( ~ rR1(iV16461,X0)
| cC38(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1190,plain,
rR1(iV16461,iV16462),
inference(cnf_transformation,[],[f244]) ).
fof(f1193,plain,
cowlThing(iV16462),
inference(cnf_transformation,[],[f247]) ).
fof(f1203,plain,
cowlThing(iV16463),
inference(cnf_transformation,[],[f257]) ).
fof(f1208,plain,
! [X0] :
( ~ rR1(iV16463,X0)
| cC56(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f1210,plain,
rR1(iV16463,iV16464),
inference(cnf_transformation,[],[f264]) ).
fof(f1211,plain,
cowlThing(iV16464),
inference(cnf_transformation,[],[f265]) ).
fof(f1212,plain,
! [X0] :
( ~ rR1(iV16464,X0)
| cC38(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1221,plain,
rR1(iV16464,iV16465),
inference(cnf_transformation,[],[f275]) ).
fof(f1223,plain,
cowlThing(iV16465),
inference(cnf_transformation,[],[f277]) ).
fof(f1233,plain,
( ~ cowlThing(sK105)
| cowlNothing(sK105)
| ~ xsd_integer(sK106)
| xsd_string(sK106)
| ~ cC130(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cowlThing(iV16439)
| ~ cC98(iV16440)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cowlThing(iV16440)
| ~ cC38(iV16448)
| ~ cowlThing(iV16448)
| ~ cC76(iV16453)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC60(iV16453)
| ~ cC56(iV16455)
| ~ cC44(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16455)
| ~ cC38(iV16457)
| ~ cowlThing(iV16457)
| ~ cC50(iV16459)
| ~ cC88(iV16459)
| ~ cC34(iV16459)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC38(iV16460)
| ~ cowlThing(iV16460)
| ~ cC42(iV16461)
| ~ cC56(iV16461)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC38(iV16462)
| ~ cowlThing(iV16462)
| ~ cC76(iV16463)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC38(iV16465)
| ~ cowlThing(iV16465) ),
inference(cnf_transformation,[],[f758]) ).
fof(f1234,plain,
( ~ cowlThing(sK105)
| cowlNothing(sK105)
| xsd_integer(sK106)
| ~ xsd_string(sK106)
| ~ cC130(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cowlThing(iV16439)
| ~ cC98(iV16440)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cowlThing(iV16440)
| ~ cC38(iV16448)
| ~ cowlThing(iV16448)
| ~ cC76(iV16453)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC60(iV16453)
| ~ cC56(iV16455)
| ~ cC44(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16455)
| ~ cC38(iV16457)
| ~ cowlThing(iV16457)
| ~ cC50(iV16459)
| ~ cC88(iV16459)
| ~ cC34(iV16459)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC38(iV16460)
| ~ cowlThing(iV16460)
| ~ cC42(iV16461)
| ~ cC56(iV16461)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC38(iV16462)
| ~ cowlThing(iV16462)
| ~ cC76(iV16463)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC38(iV16465)
| ~ cowlThing(iV16465) ),
inference(cnf_transformation,[],[f758]) ).
fof(f1236,definition,
( spl107_1
<=> cowlThing(iV16465) ),
introduced(definition,[new_symbols(definition,[spl107_1])],[avatar_definition]) ).
fof(f1240,definition,
( spl107_2
<=> cC38(iV16465) ),
introduced(definition,[new_symbols(definition,[spl107_2])],[avatar_definition]) ).
fof(f1244,definition,
( spl107_3
<=> cowlThing(iV16464) ),
introduced(definition,[new_symbols(definition,[spl107_3])],[avatar_definition]) ).
fof(f1248,definition,
( spl107_4
<=> cC44(iV16464) ),
introduced(definition,[new_symbols(definition,[spl107_4])],[avatar_definition]) ).
fof(f1249,plain,
( cC44(iV16464)
| ~ spl107_4 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1252,definition,
( spl107_5
<=> cC42(iV16464) ),
introduced(definition,[new_symbols(definition,[spl107_5])],[avatar_definition]) ).
fof(f1256,definition,
( spl107_6
<=> cC56(iV16464) ),
introduced(definition,[new_symbols(definition,[spl107_6])],[avatar_definition]) ).
fof(f1257,plain,
( cC56(iV16464)
| ~ spl107_6 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1260,definition,
( spl107_7
<=> cC60(iV16463) ),
introduced(definition,[new_symbols(definition,[spl107_7])],[avatar_definition]) ).
fof(f1264,definition,
( spl107_8
<=> cowlThing(iV16463) ),
introduced(definition,[new_symbols(definition,[spl107_8])],[avatar_definition]) ).
fof(f1268,definition,
( spl107_9
<=> cC62(iV16463) ),
introduced(definition,[new_symbols(definition,[spl107_9])],[avatar_definition]) ).
fof(f1269,plain,
( cC62(iV16463)
| ~ spl107_9 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1272,definition,
( spl107_10
<=> cC76(iV16463) ),
introduced(definition,[new_symbols(definition,[spl107_10])],[avatar_definition]) ).
fof(f1273,plain,
( cC76(iV16463)
| ~ spl107_10 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1276,definition,
( spl107_11
<=> cowlThing(iV16462) ),
introduced(definition,[new_symbols(definition,[spl107_11])],[avatar_definition]) ).
fof(f1280,definition,
( spl107_12
<=> cC38(iV16462) ),
introduced(definition,[new_symbols(definition,[spl107_12])],[avatar_definition]) ).
fof(f1284,definition,
( spl107_13
<=> cowlThing(iV16461) ),
introduced(definition,[new_symbols(definition,[spl107_13])],[avatar_definition]) ).
fof(f1288,definition,
( spl107_14
<=> cC44(iV16461) ),
introduced(definition,[new_symbols(definition,[spl107_14])],[avatar_definition]) ).
fof(f1289,plain,
( cC44(iV16461)
| ~ spl107_14 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1292,definition,
( spl107_15
<=> cC56(iV16461) ),
introduced(definition,[new_symbols(definition,[spl107_15])],[avatar_definition]) ).
fof(f1293,plain,
( cC56(iV16461)
| ~ spl107_15 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1296,definition,
( spl107_16
<=> cC42(iV16461) ),
introduced(definition,[new_symbols(definition,[spl107_16])],[avatar_definition]) ).
fof(f1300,definition,
( spl107_17
<=> cowlThing(iV16460) ),
introduced(definition,[new_symbols(definition,[spl107_17])],[avatar_definition]) ).
fof(f1304,definition,
( spl107_18
<=> cC38(iV16460) ),
introduced(definition,[new_symbols(definition,[spl107_18])],[avatar_definition]) ).
fof(f1308,definition,
( spl107_19
<=> cowlThing(iV16459) ),
introduced(definition,[new_symbols(definition,[spl107_19])],[avatar_definition]) ).
fof(f1312,definition,
( spl107_20
<=> cC68(iV16459) ),
introduced(definition,[new_symbols(definition,[spl107_20])],[avatar_definition]) ).
fof(f1316,definition,
( spl107_21
<=> cC34(iV16459) ),
introduced(definition,[new_symbols(definition,[spl107_21])],[avatar_definition]) ).
fof(f1318,plain,
( ~ cC34(iV16459)
| spl107_21 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1320,definition,
( spl107_22
<=> cC88(iV16459) ),
introduced(definition,[new_symbols(definition,[spl107_22])],[avatar_definition]) ).
fof(f1324,definition,
( spl107_23
<=> cC50(iV16459) ),
introduced(definition,[new_symbols(definition,[spl107_23])],[avatar_definition]) ).
fof(f1326,plain,
( ~ cC50(iV16459)
| spl107_23 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1328,definition,
( spl107_24
<=> cowlThing(iV16457) ),
introduced(definition,[new_symbols(definition,[spl107_24])],[avatar_definition]) ).
fof(f1332,definition,
( spl107_25
<=> cC38(iV16457) ),
introduced(definition,[new_symbols(definition,[spl107_25])],[avatar_definition]) ).
fof(f1334,plain,
( ~ cC38(iV16457)
| spl107_25 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1336,definition,
( spl107_26
<=> cowlThing(iV16455) ),
introduced(definition,[new_symbols(definition,[spl107_26])],[avatar_definition]) ).
fof(f1340,definition,
( spl107_27
<=> cC42(iV16455) ),
introduced(definition,[new_symbols(definition,[spl107_27])],[avatar_definition]) ).
fof(f1341,plain,
( cC42(iV16455)
| ~ spl107_27 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
( ~ cC42(iV16455)
| spl107_27 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1344,definition,
( spl107_28
<=> cC44(iV16455) ),
introduced(definition,[new_symbols(definition,[spl107_28])],[avatar_definition]) ).
fof(f1345,plain,
( cC44(iV16455)
| ~ spl107_28 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1346,plain,
( ~ cC44(iV16455)
| spl107_28 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1348,definition,
( spl107_29
<=> cC56(iV16455) ),
introduced(definition,[new_symbols(definition,[spl107_29])],[avatar_definition]) ).
fof(f1350,plain,
( ~ cC56(iV16455)
| spl107_29 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1352,definition,
( spl107_30
<=> cC60(iV16453) ),
introduced(definition,[new_symbols(definition,[spl107_30])],[avatar_definition]) ).
fof(f1353,plain,
( cC60(iV16453)
| ~ spl107_30 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1354,plain,
( ~ cC60(iV16453)
| spl107_30 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1356,definition,
( spl107_31
<=> cowlThing(iV16453) ),
introduced(definition,[new_symbols(definition,[spl107_31])],[avatar_definition]) ).
fof(f1360,definition,
( spl107_32
<=> cC62(iV16453) ),
introduced(definition,[new_symbols(definition,[spl107_32])],[avatar_definition]) ).
fof(f1361,plain,
( cC62(iV16453)
| ~ spl107_32 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1364,definition,
( spl107_33
<=> cC76(iV16453) ),
introduced(definition,[new_symbols(definition,[spl107_33])],[avatar_definition]) ).
fof(f1368,definition,
( spl107_34
<=> cowlThing(iV16448) ),
introduced(definition,[new_symbols(definition,[spl107_34])],[avatar_definition]) ).
fof(f1372,definition,
( spl107_35
<=> cC38(iV16448) ),
introduced(definition,[new_symbols(definition,[spl107_35])],[avatar_definition]) ).
fof(f1374,plain,
( ~ cC38(iV16448)
| spl107_35 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1376,definition,
( spl107_36
<=> cowlThing(iV16440) ),
introduced(definition,[new_symbols(definition,[spl107_36])],[avatar_definition]) ).
fof(f1380,definition,
( spl107_37
<=> cC82(iV16440) ),
introduced(definition,[new_symbols(definition,[spl107_37])],[avatar_definition]) ).
fof(f1381,plain,
( cC82(iV16440)
| ~ spl107_37 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1382,plain,
( ~ cC82(iV16440)
| spl107_37 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1384,definition,
( spl107_38
<=> cC80(iV16440) ),
introduced(definition,[new_symbols(definition,[spl107_38])],[avatar_definition]) ).
fof(f1388,definition,
( spl107_39
<=> cC98(iV16440) ),
introduced(definition,[new_symbols(definition,[spl107_39])],[avatar_definition]) ).
fof(f1392,definition,
( spl107_40
<=> cowlThing(iV16439) ),
introduced(definition,[new_symbols(definition,[spl107_40])],[avatar_definition]) ).
fof(f1396,definition,
( spl107_41
<=> cC28(iV16439) ),
introduced(definition,[new_symbols(definition,[spl107_41])],[avatar_definition]) ).
fof(f1398,plain,
( ~ cC28(iV16439)
| spl107_41 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1400,definition,
( spl107_42
<=> cC106(iV16439) ),
introduced(definition,[new_symbols(definition,[spl107_42])],[avatar_definition]) ).
fof(f1401,plain,
( cC106(iV16439)
| ~ spl107_42 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1404,definition,
( spl107_43
<=> cC104(iV16439) ),
introduced(definition,[new_symbols(definition,[spl107_43])],[avatar_definition]) ).
fof(f1408,definition,
( spl107_44
<=> cC108(iV16439) ),
introduced(definition,[new_symbols(definition,[spl107_44])],[avatar_definition]) ).
fof(f1409,plain,
( cC108(iV16439)
| ~ spl107_44 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1412,definition,
( spl107_45
<=> cC130(iV16439) ),
introduced(definition,[new_symbols(definition,[spl107_45])],[avatar_definition]) ).
fof(f1414,plain,
( ~ cC130(iV16439)
| spl107_45 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1416,definition,
( spl107_46
<=> xsd_string(sK106) ),
introduced(definition,[new_symbols(definition,[spl107_46])],[avatar_definition]) ).
fof(f1417,plain,
( ~ xsd_string(sK106)
| spl107_46 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1418,plain,
( xsd_string(sK106)
| ~ spl107_46 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1420,definition,
( spl107_47
<=> xsd_integer(sK106) ),
introduced(definition,[new_symbols(definition,[spl107_47])],[avatar_definition]) ).
fof(f1421,plain,
( xsd_integer(sK106)
| ~ spl107_47 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1424,definition,
( spl107_48
<=> cowlNothing(sK105) ),
introduced(definition,[new_symbols(definition,[spl107_48])],[avatar_definition]) ).
fof(f1426,plain,
( cowlNothing(sK105)
| ~ spl107_48 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1428,definition,
( spl107_49
<=> cowlThing(sK105) ),
introduced(definition,[new_symbols(definition,[spl107_49])],[avatar_definition]) ).
fof(f1430,plain,
( ~ cowlThing(sK105)
| spl107_49 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1431,plain,
( ~ spl107_1
| ~ spl107_2
| ~ spl107_3
| ~ spl107_4
| ~ spl107_5
| ~ spl107_6
| ~ spl107_7
| ~ spl107_8
| ~ spl107_9
| ~ spl107_10
| ~ spl107_11
| ~ spl107_12
| ~ spl107_13
| ~ spl107_14
| ~ spl107_15
| ~ spl107_16
| ~ spl107_17
| ~ spl107_18
| ~ spl107_19
| ~ spl107_20
| ~ spl107_21
| ~ spl107_22
| ~ spl107_23
| ~ spl107_24
| ~ spl107_25
| ~ spl107_26
| ~ spl107_27
| ~ spl107_28
| ~ spl107_29
| ~ spl107_30
| ~ spl107_31
| ~ spl107_32
| ~ spl107_33
| ~ spl107_34
| ~ spl107_35
| ~ spl107_36
| ~ spl107_37
| ~ spl107_38
| ~ spl107_39
| ~ spl107_40
| ~ spl107_41
| ~ spl107_42
| ~ spl107_43
| ~ spl107_44
| ~ spl107_45
| spl107_46
| ~ spl107_47
| spl107_48
| ~ spl107_49 ),
inference(avatar_split_clause,[],[f1233,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384,f1380,f1376,f1372,f1368,f1364,f1360,f1356,f1352,f1348,f1344,f1340,f1336,f1332,f1328,f1324,f1320,f1316,f1312,f1308,f1304,f1300,f1296,f1292,f1288,f1284,f1280,f1276,f1272,f1268,f1264,f1260,f1256,f1252,f1248,f1244,f1240,f1236]) ).
fof(f1432,plain,
( ~ spl107_1
| ~ spl107_2
| ~ spl107_3
| ~ spl107_4
| ~ spl107_5
| ~ spl107_6
| ~ spl107_7
| ~ spl107_8
| ~ spl107_9
| ~ spl107_10
| ~ spl107_11
| ~ spl107_12
| ~ spl107_13
| ~ spl107_14
| ~ spl107_15
| ~ spl107_16
| ~ spl107_17
| ~ spl107_18
| ~ spl107_19
| ~ spl107_20
| ~ spl107_21
| ~ spl107_22
| ~ spl107_23
| ~ spl107_24
| ~ spl107_25
| ~ spl107_26
| ~ spl107_27
| ~ spl107_28
| ~ spl107_29
| ~ spl107_30
| ~ spl107_31
| ~ spl107_32
| ~ spl107_33
| ~ spl107_34
| ~ spl107_35
| ~ spl107_36
| ~ spl107_37
| ~ spl107_38
| ~ spl107_39
| ~ spl107_40
| ~ spl107_41
| ~ spl107_42
| ~ spl107_43
| ~ spl107_44
| ~ spl107_45
| ~ spl107_46
| spl107_47
| spl107_48
| ~ spl107_49 ),
inference(avatar_split_clause,[],[f1234,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384,f1380,f1376,f1372,f1368,f1364,f1360,f1356,f1352,f1348,f1344,f1340,f1336,f1332,f1328,f1324,f1320,f1316,f1312,f1308,f1304,f1300,f1296,f1292,f1288,f1284,f1280,f1276,f1272,f1268,f1264,f1260,f1256,f1252,f1248,f1244,f1240,f1236]) ).
fof(f1433,plain,
spl107_1,
inference(avatar_split_clause,[],[f1223,f1236]) ).
fof(f1434,plain,
spl107_3,
inference(avatar_split_clause,[],[f1211,f1244]) ).
fof(f1435,plain,
spl107_8,
inference(avatar_split_clause,[],[f1203,f1264]) ).
fof(f1436,plain,
spl107_11,
inference(avatar_split_clause,[],[f1193,f1276]) ).
fof(f1437,plain,
spl107_13,
inference(avatar_split_clause,[],[f1180,f1284]) ).
fof(f1438,plain,
spl107_17,
inference(avatar_split_clause,[],[f1170,f1300]) ).
fof(f1439,plain,
spl107_19,
inference(avatar_split_clause,[],[f1152,f1308]) ).
fof(f1440,plain,
spl107_24,
inference(avatar_split_clause,[],[f1142,f1328]) ).
fof(f1441,plain,
spl107_26,
inference(avatar_split_clause,[],[f1131,f1336]) ).
fof(f1442,plain,
spl107_31,
inference(avatar_split_clause,[],[f1122,f1356]) ).
fof(f1443,plain,
spl107_34,
inference(avatar_split_clause,[],[f1109,f1368]) ).
fof(f1444,plain,
spl107_36,
inference(avatar_split_clause,[],[f1100,f1376]) ).
fof(f1445,plain,
spl107_40,
inference(avatar_split_clause,[],[f1094,f1392]) ).
fof(f1446,plain,
cC108(iV16439),
inference(resolution,[],[f1092,f1096]) ).
fof(f1447,plain,
spl107_44,
inference(avatar_split_clause,[],[f1446,f1408]) ).
fof(f1448,plain,
( cC106(iV16439)
| ~ spl107_44 ),
inference(resolution,[],[f1409,f784]) ).
fof(f1449,plain,
( spl107_42
| ~ spl107_44 ),
inference(avatar_split_clause,[],[f1448,f1408,f1400]) ).
fof(f1450,plain,
( cC104(iV16439)
| ~ spl107_42 ),
inference(resolution,[],[f1401,f782]) ).
fof(f1452,plain,
( spl107_43
| ~ spl107_42 ),
inference(avatar_split_clause,[],[f1450,f1400,f1404]) ).
fof(f1454,plain,
! [X0] :
( cC82(X0)
| ~ rR1(iV16439,X0) ),
inference(resolution,[],[f1093,f1086]) ).
fof(f1455,plain,
cC76(iV16463),
inference(resolution,[],[f1103,f1106]) ).
fof(f1456,plain,
spl107_10,
inference(avatar_split_clause,[],[f1455,f1272]) ).
fof(f1458,plain,
( cC62(iV16463)
| ~ spl107_10 ),
inference(resolution,[],[f1273,f1016]) ).
fof(f1459,plain,
( spl107_9
| ~ spl107_10 ),
inference(avatar_split_clause,[],[f1458,f1272,f1268]) ).
fof(f1460,plain,
( cC60(iV16463)
| ~ spl107_9 ),
inference(resolution,[],[f1269,f972]) ).
fof(f1462,plain,
( spl107_7
| ~ spl107_9 ),
inference(avatar_split_clause,[],[f1460,f1268,f1260]) ).
fof(f1475,plain,
cC56(iV16461),
inference(resolution,[],[f1125,f1129]) ).
fof(f1476,plain,
spl107_15,
inference(avatar_split_clause,[],[f1475,f1292]) ).
fof(f1478,plain,
( cC44(iV16461)
| ~ spl107_15 ),
inference(resolution,[],[f1293,f948]) ).
fof(f1479,plain,
( spl107_14
| ~ spl107_15 ),
inference(avatar_split_clause,[],[f1478,f1292,f1288]) ).
fof(f1481,plain,
( cC42(iV16461)
| ~ spl107_14 ),
inference(resolution,[],[f1289,f911]) ).
fof(f1482,plain,
( spl107_16
| ~ spl107_14 ),
inference(avatar_split_clause,[],[f1481,f1288,f1296]) ).
fof(f1483,plain,
cC38(iV16460),
inference(resolution,[],[f1135,f1140]) ).
fof(f1484,plain,
spl107_18,
inference(avatar_split_clause,[],[f1483,f1304]) ).
fof(f1486,plain,
cC38(iV16462),
inference(resolution,[],[f1188,f1190]) ).
fof(f1487,plain,
spl107_12,
inference(avatar_split_clause,[],[f1486,f1280]) ).
fof(f1489,plain,
cC56(iV16464),
inference(resolution,[],[f1208,f1210]) ).
fof(f1490,plain,
spl107_6,
inference(avatar_split_clause,[],[f1489,f1256]) ).
fof(f1492,plain,
( cC44(iV16464)
| ~ spl107_6 ),
inference(resolution,[],[f1257,f948]) ).
fof(f1493,plain,
( spl107_4
| ~ spl107_6 ),
inference(avatar_split_clause,[],[f1492,f1256,f1248]) ).
fof(f1495,plain,
( cC42(iV16464)
| ~ spl107_4 ),
inference(resolution,[],[f1249,f911]) ).
fof(f1496,plain,
( spl107_5
| ~ spl107_4 ),
inference(avatar_split_clause,[],[f1495,f1248,f1252]) ).
fof(f1497,plain,
cC38(iV16465),
inference(resolution,[],[f1212,f1221]) ).
fof(f1500,plain,
spl107_2,
inference(avatar_split_clause,[],[f1497,f1240]) ).
fof(f1532,plain,
( ~ cC64xcomp(iV16459)
| cC68(iV16459) ),
inference(resolution,[],[f992,f1168]) ).
fof(f1534,plain,
cC68(iV16459),
inference(forward_subsumption_resolution,[],[f1532,f1160]) ).
fof(f1537,plain,
spl107_20,
inference(avatar_split_clause,[],[f1534,f1312]) ).
fof(f1540,plain,
( ~ cC30xcomp(iV16459)
| ~ cC32xcomp(iV16459)
| spl107_21 ),
inference(resolution,[],[f1318,f880]) ).
fof(f1541,plain,
( ~ cC32xcomp(iV16459)
| spl107_21 ),
inference(forward_subsumption_resolution,[],[f1540,f1156]) ).
fof(f1542,plain,
( $false
| spl107_21 ),
inference(forward_subsumption_resolution,[],[f1541,f1163]) ).
fof(f1543,plain,
spl107_21,
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1552,plain,
( ~ cC84xcomp(iV16459)
| cC88(iV16459) ),
inference(resolution,[],[f1056,f1162]) ).
fof(f1554,plain,
cC88(iV16459),
inference(forward_subsumption_resolution,[],[f1552,f1157]) ).
fof(f1557,plain,
spl107_22,
inference(avatar_split_clause,[],[f1554,f1320]) ).
fof(f1560,plain,
( ~ cC46xcomp(iV16459)
| ~ cC48xcomp(iV16459)
| spl107_23 ),
inference(resolution,[],[f1326,f930]) ).
fof(f1561,plain,
( ~ cC48xcomp(iV16459)
| spl107_23 ),
inference(forward_subsumption_resolution,[],[f1560,f1159]) ).
fof(f1562,plain,
( $false
| spl107_23 ),
inference(forward_subsumption_resolution,[],[f1561,f1164]) ).
fof(f1563,plain,
spl107_23,
inference(avatar_contradiction_clause,[],[f1562]) ).
fof(f1566,plain,
( ~ cTOP(iV16457)
| ~ cC36xcomp(iV16457)
| spl107_25 ),
inference(resolution,[],[f1334,f892]) ).
fof(f1567,plain,
( ~ cC36xcomp(iV16457)
| spl107_25 ),
inference(forward_subsumption_resolution,[],[f1566,f1144]) ).
fof(f1568,plain,
( $false
| spl107_25 ),
inference(forward_subsumption_resolution,[],[f1567,f1148]) ).
fof(f1569,plain,
spl107_25,
inference(avatar_contradiction_clause,[],[f1568]) ).
fof(f1577,plain,
( ! [X0] :
( ~ rR1(iV16455,X0)
| ~ cC8xcomp(X0) )
| spl107_27 ),
inference(resolution,[],[f910,f1342]) ).
fof(f1578,plain,
( ~ cC8xcomp(iV16460)
| spl107_27 ),
inference(resolution,[],[f1577,f1140]) ).
fof(f1579,plain,
( $false
| spl107_27 ),
inference(forward_subsumption_resolution,[],[f1578,f1174]) ).
fof(f1580,plain,
spl107_27,
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1582,plain,
( ~ cC40xcomp(iV16455)
| ~ cC42(iV16455)
| spl107_28 ),
inference(resolution,[],[f1346,f913]) ).
fof(f1583,plain,
( ~ cC42(iV16455)
| spl107_28 ),
inference(forward_subsumption_resolution,[],[f1582,f1132]) ).
fof(f1584,plain,
( $false
| ~ spl107_27
| spl107_28 ),
inference(forward_subsumption_resolution,[],[f1583,f1341]) ).
fof(f1585,plain,
( ~ spl107_27
| spl107_28 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1588,plain,
( ~ cC54xcomp(iV16455)
| ~ cC44(iV16455)
| spl107_29 ),
inference(resolution,[],[f1350,f950]) ).
fof(f1589,plain,
( ~ cC44(iV16455)
| spl107_29 ),
inference(forward_subsumption_resolution,[],[f1588,f1137]) ).
fof(f1590,plain,
( $false
| ~ spl107_28
| spl107_29 ),
inference(forward_subsumption_resolution,[],[f1589,f1345]) ).
fof(f1591,plain,
( ~ spl107_28
| spl107_29 ),
inference(avatar_contradiction_clause,[],[f1590]) ).
fof(f1596,plain,
( ! [X0] :
( ~ rR1(iV16453,X0)
| ~ cC12xcomp(X0) )
| spl107_30 ),
inference(resolution,[],[f970,f1354]) ).
fof(f1601,plain,
( ~ cC12xcomp(iV16461)
| spl107_30 ),
inference(resolution,[],[f1596,f1129]) ).
fof(f1602,plain,
( $false
| spl107_30 ),
inference(forward_subsumption_resolution,[],[f1601,f1184]) ).
fof(f1603,plain,
spl107_30,
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1604,plain,
( cC62(iV16453)
| ~ cC58xcomp(iV16453)
| ~ spl107_30 ),
inference(resolution,[],[f1353,f973]) ).
fof(f1606,plain,
( cC62(iV16453)
| ~ spl107_30 ),
inference(forward_subsumption_resolution,[],[f1604,f1128]) ).
fof(f1607,plain,
( spl107_32
| ~ spl107_30 ),
inference(avatar_split_clause,[],[f1606,f1352,f1360]) ).
fof(f1608,plain,
( ~ cC74xcomp(iV16453)
| cC76(iV16453)
| ~ spl107_32 ),
inference(resolution,[],[f1361,f1018]) ).
fof(f1611,plain,
( cC76(iV16453)
| ~ spl107_32 ),
inference(forward_subsumption_resolution,[],[f1608,f1121]) ).
fof(f1612,plain,
( spl107_33
| ~ spl107_32 ),
inference(avatar_split_clause,[],[f1611,f1360,f1364]) ).
fof(f1615,plain,
( ~ cTOP(iV16448)
| ~ cC36xcomp(iV16448)
| spl107_35 ),
inference(resolution,[],[f1374,f892]) ).
fof(f1616,plain,
( ~ cC36xcomp(iV16448)
| spl107_35 ),
inference(forward_subsumption_resolution,[],[f1615,f1110]) ).
fof(f1617,plain,
( $false
| spl107_35 ),
inference(forward_subsumption_resolution,[],[f1616,f1115]) ).
fof(f1618,plain,
spl107_35,
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1629,plain,
( ~ rR1(iV16439,iV16440)
| spl107_37 ),
inference(resolution,[],[f1454,f1382]) ).
fof(f1630,plain,
( $false
| spl107_37 ),
inference(forward_subsumption_resolution,[],[f1629,f1097]) ).
fof(f1631,plain,
spl107_37,
inference(avatar_contradiction_clause,[],[f1630]) ).
fof(f1632,plain,
( ~ cC96xcomp(iV16440)
| cC98(iV16440)
| ~ spl107_37 ),
inference(resolution,[],[f1381,f1088]) ).
fof(f1633,plain,
( cC80(iV16440)
| ~ spl107_37 ),
inference(resolution,[],[f1381,f1036]) ).
fof(f1635,plain,
( spl107_38
| ~ spl107_37 ),
inference(avatar_split_clause,[],[f1633,f1380,f1384]) ).
fof(f1636,plain,
( cC98(iV16440)
| ~ spl107_37 ),
inference(forward_subsumption_resolution,[],[f1632,f1101]) ).
fof(f1637,plain,
( spl107_39
| ~ spl107_37 ),
inference(avatar_split_clause,[],[f1636,f1380,f1388]) ).
fof(f1642,plain,
( ~ cC108(iV16439)
| spl107_41 ),
inference(resolution,[],[f1398,f785]) ).
fof(f1643,plain,
( $false
| spl107_41
| ~ spl107_44 ),
inference(forward_subsumption_resolution,[],[f1642,f1409]) ).
fof(f1644,plain,
( spl107_41
| ~ spl107_44 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f1648,plain,
( ~ cTEST(iV16439)
| spl107_45 ),
inference(resolution,[],[f1414,f1091]) ).
fof(f1649,plain,
( $false
| spl107_45 ),
inference(forward_subsumption_resolution,[],[f1648,f1096]) ).
fof(f1650,plain,
spl107_45,
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1651,plain,
( $false
| spl107_49 ),
inference(forward_subsumption_resolution,[],[f1430,f760]) ).
fof(f1652,plain,
spl107_49,
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1654,plain,
( xsd_integer(sK106)
| spl107_46 ),
inference(resolution,[],[f1417,f762]) ).
fof(f1655,plain,
( spl107_47
| spl107_46 ),
inference(avatar_split_clause,[],[f1654,f1416,f1420]) ).
fof(f1656,plain,
( ~ xsd_string(sK106)
| ~ spl107_47 ),
inference(resolution,[],[f1421,f761]) ).
fof(f1657,plain,
( $false
| ~ spl107_46
| ~ spl107_47 ),
inference(forward_subsumption_resolution,[],[f1656,f1418]) ).
fof(f1658,plain,
( ~ spl107_46
| ~ spl107_47 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1659,plain,
( $false
| ~ spl107_48 ),
inference(forward_subsumption_resolution,[],[f1426,f759]) ).
fof(f1660,plain,
~ spl107_48,
inference(avatar_contradiction_clause,[],[f1659]) ).
cnf(s1,plain,
( ~ spl107_1
| ~ spl107_2
| ~ spl107_3
| ~ spl107_4
| ~ spl107_5
| ~ spl107_6
| ~ spl107_7
| ~ spl107_8
| ~ spl107_9
| ~ spl107_10
| ~ spl107_11
| ~ spl107_12
| ~ spl107_13
| ~ spl107_14
| ~ spl107_15
| ~ spl107_16
| ~ spl107_17
| ~ spl107_18
| ~ spl107_19
| ~ spl107_20
| ~ spl107_21
| ~ spl107_22
| ~ spl107_23
| ~ spl107_24
| ~ spl107_25
| ~ spl107_26
| ~ spl107_27
| ~ spl107_28
| ~ spl107_29
| ~ spl107_30
| ~ spl107_31
| ~ spl107_32
| ~ spl107_33
| ~ spl107_34
| ~ spl107_35
| ~ spl107_36
| ~ spl107_37
| ~ spl107_38
| ~ spl107_39
| ~ spl107_40
| ~ spl107_41
| ~ spl107_42
| ~ spl107_43
| ~ spl107_44
| ~ spl107_45
| spl107_46
| ~ spl107_47
| spl107_48
| ~ spl107_49 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s2,plain,
( ~ spl107_1
| ~ spl107_2
| ~ spl107_3
| ~ spl107_4
| ~ spl107_5
| ~ spl107_6
| ~ spl107_7
| ~ spl107_8
| ~ spl107_9
| ~ spl107_10
| ~ spl107_11
| ~ spl107_12
| ~ spl107_13
| ~ spl107_14
| ~ spl107_15
| ~ spl107_16
| ~ spl107_17
| ~ spl107_18
| ~ spl107_19
| ~ spl107_20
| ~ spl107_21
| ~ spl107_22
| ~ spl107_23
| ~ spl107_24
| ~ spl107_25
| ~ spl107_26
| ~ spl107_27
| ~ spl107_28
| ~ spl107_29
| ~ spl107_30
| ~ spl107_31
| ~ spl107_32
| ~ spl107_33
| ~ spl107_34
| ~ spl107_35
| ~ spl107_36
| ~ spl107_37
| ~ spl107_38
| ~ spl107_39
| ~ spl107_40
| ~ spl107_41
| ~ spl107_42
| ~ spl107_43
| ~ spl107_44
| ~ spl107_45
| ~ spl107_46
| spl107_47
| spl107_48
| ~ spl107_49 ),
inference(sat_conversion,[],[f1432]) ).
cnf(s3,plain,
spl107_1,
inference(sat_conversion,[],[f1433]) ).
cnf(s4,plain,
spl107_3,
inference(sat_conversion,[],[f1434]) ).
cnf(s5,plain,
spl107_8,
inference(sat_conversion,[],[f1435]) ).
cnf(s6,plain,
spl107_11,
inference(sat_conversion,[],[f1436]) ).
cnf(s7,plain,
spl107_13,
inference(sat_conversion,[],[f1437]) ).
cnf(s8,plain,
spl107_17,
inference(sat_conversion,[],[f1438]) ).
cnf(s9,plain,
spl107_19,
inference(sat_conversion,[],[f1439]) ).
cnf(s10,plain,
spl107_24,
inference(sat_conversion,[],[f1440]) ).
cnf(s11,plain,
spl107_26,
inference(sat_conversion,[],[f1441]) ).
cnf(s12,plain,
spl107_31,
inference(sat_conversion,[],[f1442]) ).
cnf(s13,plain,
spl107_34,
inference(sat_conversion,[],[f1443]) ).
cnf(s14,plain,
spl107_36,
inference(sat_conversion,[],[f1444]) ).
cnf(s15,plain,
spl107_40,
inference(sat_conversion,[],[f1445]) ).
cnf(s16,plain,
spl107_44,
inference(sat_conversion,[],[f1447]) ).
cnf(s17,plain,
( spl107_42
| ~ spl107_44 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s18,plain,
( ~ spl107_42
| spl107_43 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s19,plain,
spl107_10,
inference(sat_conversion,[],[f1456]) ).
cnf(s20,plain,
( spl107_9
| ~ spl107_10 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s21,plain,
( spl107_7
| ~ spl107_9 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s22,plain,
spl107_15,
inference(sat_conversion,[],[f1476]) ).
cnf(s23,plain,
( spl107_14
| ~ spl107_15 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s24,plain,
( ~ spl107_14
| spl107_16 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s25,plain,
spl107_18,
inference(sat_conversion,[],[f1484]) ).
cnf(s26,plain,
spl107_12,
inference(sat_conversion,[],[f1487]) ).
cnf(s27,plain,
spl107_6,
inference(sat_conversion,[],[f1490]) ).
cnf(s28,plain,
( spl107_4
| ~ spl107_6 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s29,plain,
( ~ spl107_4
| spl107_5 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s31,plain,
spl107_2,
inference(sat_conversion,[],[f1500]) ).
cnf(s33,plain,
spl107_20,
inference(sat_conversion,[],[f1537]) ).
cnf(s34,plain,
spl107_21,
inference(sat_conversion,[],[f1543]) ).
cnf(s36,plain,
spl107_22,
inference(sat_conversion,[],[f1557]) ).
cnf(s37,plain,
spl107_23,
inference(sat_conversion,[],[f1563]) ).
cnf(s38,plain,
spl107_25,
inference(sat_conversion,[],[f1569]) ).
cnf(s39,plain,
spl107_27,
inference(sat_conversion,[],[f1580]) ).
cnf(s40,plain,
( ~ spl107_27
| spl107_28 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s41,plain,
( ~ spl107_28
| spl107_29 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s42,plain,
spl107_30,
inference(sat_conversion,[],[f1603]) ).
cnf(s43,plain,
( ~ spl107_30
| spl107_32 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s44,plain,
( ~ spl107_32
| spl107_33 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s45,plain,
spl107_35,
inference(sat_conversion,[],[f1618]) ).
cnf(s46,plain,
spl107_37,
inference(sat_conversion,[],[f1631]) ).
cnf(s47,plain,
( ~ spl107_37
| spl107_38 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s48,plain,
( ~ spl107_37
| spl107_39 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s49,plain,
( spl107_41
| ~ spl107_44 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s50,plain,
spl107_45,
inference(sat_conversion,[],[f1650]) ).
cnf(s51,plain,
spl107_49,
inference(sat_conversion,[],[f1652]) ).
cnf(s52,plain,
( spl107_46
| spl107_47 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s53,plain,
( ~ spl107_46
| ~ spl107_47 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s54,plain,
~ spl107_48,
inference(sat_conversion,[],[f1660]) ).
cnf(s55,plain,
spl107_39,
inference(rat,[],[s48,s46]) ).
cnf(s56,plain,
spl107_38,
inference(rat,[],[s47,s46]) ).
cnf(s57,plain,
spl107_32,
inference(rat,[],[s43,s42]) ).
cnf(s58,plain,
spl107_33,
inference(rat,[],[s44,s57]) ).
cnf(s59,plain,
spl107_28,
inference(rat,[],[s40,s39]) ).
cnf(s60,plain,
spl107_29,
inference(rat,[],[s41,s59]) ).
cnf(s61,plain,
spl107_4,
inference(rat,[],[s28,s27]) ).
cnf(s62,plain,
spl107_5,
inference(rat,[],[s29,s61]) ).
cnf(s63,plain,
spl107_14,
inference(rat,[],[s23,s22]) ).
cnf(s64,plain,
spl107_16,
inference(rat,[],[s24,s63]) ).
cnf(s65,plain,
spl107_9,
inference(rat,[],[s20,s19]) ).
cnf(s66,plain,
spl107_7,
inference(rat,[],[s21,s65]) ).
cnf(s67,plain,
spl107_41,
inference(rat,[],[s49,s16]) ).
cnf(s68,plain,
spl107_42,
inference(rat,[],[s17,s16]) ).
cnf(s69,plain,
spl107_43,
inference(rat,[],[s18,s68]) ).
cnf(s70,plain,
( ~ spl107_46
| spl107_47 ),
inference(rat,[],[s2,s51,s54,s50,s16,s69,s68,s67,s15,s55,s56,s46,s14,s45,s13,s58,s57,s12,s42,s60,s59,s39,s11,s38,s10,s37,s36,s34,s33,s9,s25,s8,s64,s22,s63,s7,s26,s6,s19,s65,s5,s66,s27,s62,s61,s4,s31,s3]) ).
cnf(s71,plain,
( spl107_46
| ~ spl107_47 ),
inference(rat,[],[s1,s51,s54,s50,s16,s69,s68,s67,s15,s55,s56,s46,s14,s45,s13,s58,s57,s12,s42,s60,s59,s39,s11,s38,s10,s37,s36,s34,s33,s9,s25,s8,s64,s22,s63,s7,s26,s6,s19,s65,s5,s66,s27,s62,s61,s4,s31,s3]) ).
cnf(s72,plain,
spl107_46,
inference(rat,[],[s71,s52]) ).
cnf(s73,plain,
~ spl107_47,
inference(rat,[],[s53,s72]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s70,s73,s72]) ).
fof(f1661,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS161+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n016.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 13:37:32 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/1.33 % (2656201)Detected formulas, will run a generic FOF schedule.
% 2.86/1.33 % (2656209)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=680177093:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.86/1.33 % (2656209)Refutation not found, incomplete strategy
% 2.86/1.33 % (2656209)------------------------------
% 2.86/1.33 % (2656209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.33 % (2656209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.33 % (2656209)CaDiCaL version: 2.1.3
% 2.86/1.33 % (2656209)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.33 % (2656209)Time elapsed: 0.001 s
% 2.86/1.33 % (2656209)Peak memory usage: 88 MB
% 2.86/1.33 % (2656209)Instructions burned: 2 (million)
% 2.86/1.33 % (2656211)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2210936870:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.86/1.33 % (2656210)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1305404888:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.86/1.33 % (2656212)dis-21_1_sil=8000:lcm=predicate:random_seed=1013519064:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.86/1.33 % (2656208)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2805059821:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.86/1.33 % (2656207)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4079671439:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.86/1.33 % (2656206)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3318125587:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.86/1.33 % (2656210)Refutation not found, incomplete strategy
% 2.86/1.33 % (2656210)------------------------------
% 2.86/1.33 % (2656210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.33 % (2656210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.33 % (2656210)CaDiCaL version: 2.1.3
% 2.86/1.33 % (2656210)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.33 % (2656210)Time elapsed: 0.002 s
% 2.86/1.33 % (2656210)Peak memory usage: 88 MB
% 2.86/1.33 % (2656210)Instructions burned: 2 (million)
% 2.86/1.33 % (2656211)First to succeed.
% 2.86/1.33 % (2656212)Also succeeded, but the first one will report.
% 2.86/1.33 % (2656211)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2656201"
% 2.86/1.33 % (2656209)------------------------------
% 2.86/1.33 % (2656209)------------------------------
% 2.86/1.33 % (2656210)------------------------------
% 2.86/1.33 % (2656210)------------------------------
% 2.86/1.33 % (2656220)lrs+10_1_sil=8000:sp=occurrence:random_seed=3047235105:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.86/1.33 % (2656211)Refutation found. Thanks to Tanya!
% 2.86/1.33 % SZS status Theorem for theBenchmark
% 2.86/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.54 % (2656211)------------------------------
% 3.81/1.54 % (2656211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.54 % (2656211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.54 % (2656211)CaDiCaL version: 2.1.3
% 3.81/1.54 % (2656211)Termination reason: Refutation
% 3.81/1.54 % (2656211)Time elapsed: 0.018 s
% 3.81/1.54 % (2656211)Peak memory usage: 90 MB
% 3.81/1.54 % (2656211)Instructions burned: 28 (million)
% 3.81/1.54 % (2656211)------------------------------
% 3.81/1.54 % (2656211)------------------------------
% 3.81/1.54 % (2656201)Success in time 0.454 s
% 3.81/1.54 % Vampire exiting
%------------------------------------------------------------------------------