%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS161+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 : Thu Sep 24 01:01:49 PM UTC 2026
% Result : Theorem 0.13s 0.72s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 52
% Syntax : Number of formulae : 183 ( 78 unt; 0 def)
% Number of atoms : 858 ( 0 equ)
% Maximal formula atoms : 98 ( 4 avg)
% Number of connectives : 1137 ( 462 ~; 453 |; 194 &)
% ( 21 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-1 aty)
% Number of variables : 99 ( 2 sgn 62 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( cowlThing(iV16465)
& cC38(iV16465)
& cowlThing(iV16464)
& cC44(iV16464)
& cC42(iV16464)
& cC56(iV16464)
& cC60(iV16463)
& cowlThing(iV16463)
& cC62(iV16463)
& cC76(iV16463)
& cowlThing(iV16462)
& cC38(iV16462)
& cowlThing(iV16461)
& cC44(iV16461)
& cC56(iV16461)
& cC42(iV16461)
& cowlThing(iV16460)
& cC38(iV16460)
& cowlThing(iV16459)
& cC68(iV16459)
& cC34(iV16459)
& cC88(iV16459)
& cC50(iV16459)
& cowlThing(iV16457)
& cC38(iV16457)
& cowlThing(iV16455)
& cC42(iV16455)
& cC44(iV16455)
& cC56(iV16455)
& cC60(iV16453)
& cowlThing(iV16453)
& cC62(iV16453)
& cC76(iV16453)
& cowlThing(iV16448)
& cC38(iV16448)
& cowlThing(iV16440)
& cC82(iV16440)
& cC80(iV16440)
& cC98(iV16440)
& cowlThing(iV16439)
& cC28(iV16439)
& cC106(iV16439)
& cC104(iV16439)
& cC108(iV16439)
& cC130(iV16439)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_11,axiom,
! [X1] :
( cC106(X1)
<=> ( cC100xcomp(X1)
& cC104(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X1] :
( cC108(X1)
<=> ( cC106(X1)
& cC28(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_66,axiom,
! [X1] :
( cC44(X1)
<=> ( cC42(X1)
& cC40xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
fof(axiom_82,axiom,
! [X1] :
( cC56(X1)
<=> ( cC44(X1)
& cC54xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_92,axiom,
! [X1] :
( cC62(X1)
<=> ( cC58xcomp(X1)
& cC60(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).
fof(axiom_112,axiom,
! [X1] :
( cC76(X1)
<=> ( cC62(X1)
& cC74xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
fof(axiom_120,axiom,
! [X1] :
( cC82(X1)
<=> ( cC78xcomp(X1)
& cC80(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
fof(axiom_143,axiom,
! [X1] :
( cC98(X1)
<=> ( cC82(X1)
& cC96xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_143) ).
fof(axiom_146,axiom,
! [X1] :
( rR1(iV16439,X1)
=> cC98(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_146) ).
fof(axiom_156,axiom,
! [X1] :
( rR1(iV16440,X1)
=> cC76(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_156) ).
fof(axiom_178,axiom,
! [X1] :
( rR1(iV16453,X1)
=> cC56(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_178) ).
fof(axiom_261,axiom,
! [X1] :
( rR1(iV16463,X1)
=> cC56(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_261) ).
fof(axiom_188,axiom,
! [X1] :
( rR1(iV16455,X1)
=> cC38(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_188) ).
fof(axiom_241,axiom,
! [X1] :
( rR1(iV16461,X1)
=> cC38(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_241) ).
fof(axiom_265,axiom,
! [X1] :
( rR1(iV16464,X1)
=> cC38(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_265) ).
fof(axiom_145,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC130(X1)
& cC108(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_145) ).
fof(axiom_150,axiom,
rR1(iV16439,iV16440),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_150) ).
fof(axiom_159,axiom,
rR1(iV16440,iV16463),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_159) ).
fof(axiom_182,axiom,
rR1(iV16453,iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_182) ).
fof(axiom_263,axiom,
rR1(iV16463,iV16464),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_263) ).
fof(axiom_193,axiom,
rR1(iV16455,iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_193) ).
fof(axiom_243,axiom,
rR1(iV16461,iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_243) ).
fof(axiom_274,axiom,
rR1(iV16464,iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_274) ).
fof(axiom_149,axiom,
cTEST(iV16439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
fof(axiom_52,axiom,
! [X1] :
( cC34(X1)
<=> ( cC32xcomp(X1)
& cC30xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(axiom_216,axiom,
cC32xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_216) ).
fof(axiom_209,axiom,
cC30xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_209) ).
fof(axiom_57,axiom,
! [X1] :
( cC38(X1)
<=> ( cC36xcomp(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_100,axiom,
! [X1] :
( cC68(X1)
<=> ( cC66xcomp(X1)
& cC64xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
fof(axiom_73,axiom,
! [X1] :
( cC50(X1)
<=> ( cC48xcomp(X1)
& cC46xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
fof(axiom_65,axiom,
! [X1] :
( cC42(X1)
<=> ? [X2] :
( cC8xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_91,axiom,
! [X1] :
( cC60(X1)
<=> ? [X2] :
( cC12xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).
fof(axiom_197,axiom,
cTOP(iV16457),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_197) ).
fof(axiom_201,axiom,
cC36xcomp(iV16457),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_201) ).
fof(axiom_221,axiom,
cC66xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_221) ).
fof(axiom_213,axiom,
cC64xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_213) ).
fof(axiom_217,axiom,
cC48xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_217) ).
fof(axiom_212,axiom,
cC46xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_212) ).
fof(axiom_163,axiom,
cTOP(iV16448),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_163) ).
fof(axiom_168,axiom,
cC36xcomp(iV16448),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
fof(axiom_128,axiom,
! [X1] :
( cC88(X1)
<=> ( cC86xcomp(X1)
& cC84xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
fof(axiom_185,axiom,
cC40xcomp(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_185) ).
fof(axiom_227,axiom,
cC8xcomp(iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_227) ).
fof(axiom_181,axiom,
cC58xcomp(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_181) ).
fof(axiom_237,axiom,
cC12xcomp(iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_237) ).
fof(axiom_215,axiom,
cC86xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_215) ).
fof(axiom_210,axiom,
cC84xcomp(iV16459),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_210) ).
fof(axiom_190,axiom,
cC54xcomp(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_190) ).
fof(axiom_174,axiom,
cC74xcomp(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_174) ).
fof(c_0_52,negated_conjecture,
~ ( cowlThing(iV16465)
& cC38(iV16465)
& cowlThing(iV16464)
& cC44(iV16464)
& cC42(iV16464)
& cC56(iV16464)
& cC60(iV16463)
& cowlThing(iV16463)
& cC62(iV16463)
& cC76(iV16463)
& cowlThing(iV16462)
& cC38(iV16462)
& cowlThing(iV16461)
& cC44(iV16461)
& cC56(iV16461)
& cC42(iV16461)
& cowlThing(iV16460)
& cC38(iV16460)
& cowlThing(iV16459)
& cC68(iV16459)
& cC34(iV16459)
& cC88(iV16459)
& cC50(iV16459)
& cowlThing(iV16457)
& cC38(iV16457)
& cowlThing(iV16455)
& cC42(iV16455)
& cC44(iV16455)
& cC56(iV16455)
& cC60(iV16453)
& cowlThing(iV16453)
& cC62(iV16453)
& cC76(iV16453)
& cowlThing(iV16448)
& cC38(iV16448)
& cowlThing(iV16440)
& cC82(iV16440)
& cC80(iV16440)
& cC98(iV16440)
& cowlThing(iV16439)
& cC28(iV16439)
& cC106(iV16439)
& cC104(iV16439)
& cC108(iV16439)
& cC130(iV16439)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_53,negated_conjecture,
~ ( cowlThing(iV16465)
& cC38(iV16465)
& cowlThing(iV16464)
& cC44(iV16464)
& cC42(iV16464)
& cC56(iV16464)
& cC60(iV16463)
& cowlThing(iV16463)
& cC62(iV16463)
& cC76(iV16463)
& cowlThing(iV16462)
& cC38(iV16462)
& cowlThing(iV16461)
& cC44(iV16461)
& cC56(iV16461)
& cC42(iV16461)
& cowlThing(iV16460)
& cC38(iV16460)
& cowlThing(iV16459)
& cC68(iV16459)
& cC34(iV16459)
& cC88(iV16459)
& cC50(iV16459)
& cowlThing(iV16457)
& cC38(iV16457)
& cowlThing(iV16455)
& cC42(iV16455)
& cC44(iV16455)
& cC56(iV16455)
& cC60(iV16453)
& cowlThing(iV16453)
& cC62(iV16453)
& cC76(iV16453)
& cowlThing(iV16448)
& cC38(iV16448)
& cowlThing(iV16440)
& cC82(iV16440)
& cC80(iV16440)
& cC98(iV16440)
& cowlThing(iV16439)
& cC28(iV16439)
& cC106(iV16439)
& cC104(iV16439)
& cC108(iV16439)
& cC130(iV16439)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_54,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_55,negated_conjecture,
( ( ~ cowlThing(iV16465)
| ~ cC38(iV16465)
| ~ cowlThing(iV16464)
| ~ cC44(iV16464)
| ~ cC42(iV16464)
| ~ cC56(iV16464)
| ~ cC60(iV16463)
| ~ cowlThing(iV16463)
| ~ cC62(iV16463)
| ~ cC76(iV16463)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cowlThing(iV16461)
| ~ cC44(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cowlThing(iV16459)
| ~ cC68(iV16459)
| ~ cC34(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cowlThing(iV16455)
| ~ cC42(iV16455)
| ~ cC44(iV16455)
| ~ cC56(iV16455)
| ~ cC60(iV16453)
| ~ cowlThing(iV16453)
| ~ cC62(iV16453)
| ~ cC76(iV16453)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC80(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16439)
| ~ cC28(iV16439)
| ~ cC106(iV16439)
| ~ cC104(iV16439)
| ~ cC108(iV16439)
| ~ cC130(iV16439)
| cowlNothing(esk115_0)
| ~ cowlThing(esk115_0)
| ~ xsd_integer(esk116_0)
| xsd_string(esk116_0) )
& ( ~ cowlThing(iV16465)
| ~ cC38(iV16465)
| ~ cowlThing(iV16464)
| ~ cC44(iV16464)
| ~ cC42(iV16464)
| ~ cC56(iV16464)
| ~ cC60(iV16463)
| ~ cowlThing(iV16463)
| ~ cC62(iV16463)
| ~ cC76(iV16463)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cowlThing(iV16461)
| ~ cC44(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cowlThing(iV16459)
| ~ cC68(iV16459)
| ~ cC34(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cowlThing(iV16455)
| ~ cC42(iV16455)
| ~ cC44(iV16455)
| ~ cC56(iV16455)
| ~ cC60(iV16453)
| ~ cowlThing(iV16453)
| ~ cC62(iV16453)
| ~ cC76(iV16453)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC80(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16439)
| ~ cC28(iV16439)
| ~ cC106(iV16439)
| ~ cC104(iV16439)
| ~ cC108(iV16439)
| ~ cC130(iV16439)
| cowlNothing(esk115_0)
| ~ cowlThing(esk115_0)
| xsd_integer(esk116_0)
| ~ xsd_string(esk116_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])])]) ).
fof(c_0_56,plain,
! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_54])]) ).
fof(c_0_57,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_58,negated_conjecture,
( ~ cowlThing(iV16465)
| ~ cC38(iV16465)
| ~ cowlThing(iV16464)
| ~ cC44(iV16464)
| ~ cC42(iV16464)
| ~ cC56(iV16464)
| ~ cC60(iV16463)
| ~ cowlThing(iV16463)
| ~ cC62(iV16463)
| ~ cC76(iV16463)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cowlThing(iV16461)
| ~ cC44(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cowlThing(iV16459)
| ~ cC68(iV16459)
| ~ cC34(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cowlThing(iV16455)
| ~ cC42(iV16455)
| ~ cC44(iV16455)
| ~ cC56(iV16455)
| ~ cC60(iV16453)
| ~ cowlThing(iV16453)
| ~ cC62(iV16453)
| ~ cC76(iV16453)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC80(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16439)
| ~ cC28(iV16439)
| ~ cC106(iV16439)
| ~ cC104(iV16439)
| ~ cC108(iV16439)
| ~ cC130(iV16439)
| ~ cowlThing(esk115_0)
| ~ xsd_string(esk116_0)
| cowlNothing(esk115_0)
| xsd_integer(esk116_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_60,plain,
! [X5] :
( ( xsd_string(X5)
| xsd_integer(X5) )
& ( ~ xsd_integer(X5)
| ~ xsd_string(X5) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
fof(c_0_61,plain,
! [X39] :
( ( cC106(X39)
| ~ cC100xcomp(X39)
| ~ cC104(X39) )
& ( ~ cC106(X39)
| cC100xcomp(X39) )
& ( ~ cC106(X39)
| cC104(X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])])]) ).
fof(c_0_62,plain,
! [X40] :
( ( cC108(X40)
| ~ cC106(X40)
| ~ cC28(X40) )
& ( ~ cC108(X40)
| cC106(X40) )
& ( ~ cC108(X40)
| cC28(X40) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])])])]) ).
fof(c_0_63,plain,
! [X223] :
( ( cC44(X223)
| ~ cC42(X223)
| ~ cC40xcomp(X223) )
& ( ~ cC44(X223)
| cC42(X223) )
& ( ~ cC44(X223)
| cC40xcomp(X223) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_66])])])]) ).
fof(c_0_64,plain,
! [X275] :
( ( cC56(X275)
| ~ cC44(X275)
| ~ cC54xcomp(X275) )
& ( ~ cC56(X275)
| cC44(X275) )
& ( ~ cC56(X275)
| cC54xcomp(X275) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_82])])])]) ).
fof(c_0_65,plain,
! [X309] :
( ( cC62(X309)
| ~ cC58xcomp(X309)
| ~ cC60(X309) )
& ( ~ cC62(X309)
| cC58xcomp(X309) )
& ( ~ cC62(X309)
| cC60(X309) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_92])])])]) ).
fof(c_0_66,plain,
! [X377] :
( ( cC76(X377)
| ~ cC62(X377)
| ~ cC74xcomp(X377) )
& ( ~ cC76(X377)
| cC62(X377) )
& ( ~ cC76(X377)
| cC74xcomp(X377) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_112])])])]) ).
fof(c_0_67,plain,
! [X406] :
( ( cC82(X406)
| ~ cC78xcomp(X406)
| ~ cC80(X406) )
& ( ~ cC82(X406)
| cC78xcomp(X406) )
& ( ~ cC82(X406)
| cC80(X406) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_120])])])]) ).
fof(c_0_68,plain,
! [X486] :
( ( cC98(X486)
| ~ cC82(X486)
| ~ cC96xcomp(X486) )
& ( ~ cC98(X486)
| cC82(X486) )
& ( ~ cC98(X486)
| cC96xcomp(X486) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_143])])])]) ).
fof(c_0_69,plain,
! [X492] :
( cC98(X492)
| ~ rR1(iV16439,X492) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_146])])]) ).
fof(c_0_70,plain,
! [X494] :
( cC76(X494)
| ~ rR1(iV16440,X494) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_156])])]) ).
fof(c_0_71,plain,
! [X500] :
( cC56(X500)
| ~ rR1(iV16453,X500) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_178])])]) ).
fof(c_0_72,plain,
! [X524] :
( cC56(X524)
| ~ rR1(iV16463,X524) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_261])])]) ).
fof(c_0_73,plain,
! [X504] :
( cC38(X504)
| ~ rR1(iV16455,X504) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_188])])]) ).
fof(c_0_74,plain,
! [X517] :
( cC38(X517)
| ~ rR1(iV16461,X517) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_241])])]) ).
fof(c_0_75,plain,
! [X525] :
( cC38(X525)
| ~ rR1(iV16464,X525) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_265])])]) ).
fof(c_0_76,plain,
! [X491] :
( ( cTEST(X491)
| ~ cC130(X491)
| ~ cC108(X491) )
& ( ~ cTEST(X491)
| cC130(X491) )
& ( ~ cTEST(X491)
| cC108(X491) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_145])])])]) ).
cnf(c_0_77,negated_conjecture,
( ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC82(iV16440)
| ~ cC80(iV16440)
| ~ cC76(iV16453)
| ~ cC76(iV16463)
| ~ cC68(iV16459)
| ~ cC62(iV16453)
| ~ cC62(iV16463)
| ~ cC60(iV16453)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC56(iV16455)
| ~ cC56(iV16461)
| ~ cC50(iV16459)
| ~ cC44(iV16464)
| ~ cC44(iV16455)
| ~ cC44(iV16461)
| ~ cC42(iV16464)
| ~ cC42(iV16455)
| ~ cC42(iV16461)
| ~ cC38(iV16465)
| ~ cC38(iV16462)
| ~ cC38(iV16457)
| ~ cC38(iV16460)
| ~ cC38(iV16448)
| ~ cC34(iV16459)
| ~ cC130(iV16439)
| ~ cC28(iV16439)
| ~ cC108(iV16439)
| ~ cC106(iV16439)
| ~ cC104(iV16439)
| ~ xsd_string(esk116_0)
| xsd_integer(esk116_0)
| cowlNothing(esk115_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59])]) ).
cnf(c_0_78,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_79,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_80,plain,
( ~ cC106(X1)
| cC104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_81,plain,
( ~ cC108(X1)
| cC106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_82,plain,
( ~ cC108(X1)
| cC28(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,plain,
( ~ cC44(X1)
| cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_84,plain,
( ~ cC56(X1)
| cC44(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_85,plain,
( ~ cC62(X1)
| cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_86,plain,
( ~ cC76(X1)
| cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_87,plain,
( ~ cC82(X1)
| cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_88,plain,
( ~ cC98(X1)
| cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_89,plain,
( ~ rR1(iV16439,X1)
| cC98(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_90,plain,
rR1(iV16439,iV16440),
inference(split_conjunct,[status(thm)],[axiom_150]) ).
cnf(c_0_91,plain,
( ~ rR1(iV16440,X1)
| cC76(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_92,plain,
rR1(iV16440,iV16463),
inference(split_conjunct,[status(thm)],[axiom_159]) ).
cnf(c_0_93,plain,
( ~ rR1(iV16453,X1)
| cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_94,plain,
rR1(iV16453,iV16461),
inference(split_conjunct,[status(thm)],[axiom_182]) ).
cnf(c_0_95,plain,
( ~ rR1(iV16463,X1)
| cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_96,plain,
rR1(iV16463,iV16464),
inference(split_conjunct,[status(thm)],[axiom_263]) ).
cnf(c_0_97,plain,
( ~ rR1(iV16455,X1)
| cC38(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_98,plain,
rR1(iV16455,iV16460),
inference(split_conjunct,[status(thm)],[axiom_193]) ).
cnf(c_0_99,plain,
( ~ rR1(iV16461,X1)
| cC38(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_100,plain,
rR1(iV16461,iV16462),
inference(split_conjunct,[status(thm)],[axiom_243]) ).
cnf(c_0_101,plain,
( ~ rR1(iV16464,X1)
| cC38(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_102,plain,
rR1(iV16464,iV16465),
inference(split_conjunct,[status(thm)],[axiom_274]) ).
cnf(c_0_103,plain,
( ~ cTEST(X1)
| cC130(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_104,plain,
cTEST(iV16439),
inference(split_conjunct,[status(thm)],[axiom_149]) ).
cnf(c_0_105,plain,
( ~ cTEST(X1)
| cC108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_106,plain,
! [X173] :
( ( cC34(X173)
| ~ cC32xcomp(X173)
| ~ cC30xcomp(X173) )
& ( ~ cC34(X173)
| cC32xcomp(X173) )
& ( ~ cC34(X173)
| cC30xcomp(X173) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_52])])])]) ).
cnf(c_0_107,negated_conjecture,
( ~ cowlThing(iV16465)
| ~ cC38(iV16465)
| ~ cowlThing(iV16464)
| ~ cC44(iV16464)
| ~ cC42(iV16464)
| ~ cC56(iV16464)
| ~ cC60(iV16463)
| ~ cowlThing(iV16463)
| ~ cC62(iV16463)
| ~ cC76(iV16463)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cowlThing(iV16461)
| ~ cC44(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cowlThing(iV16459)
| ~ cC68(iV16459)
| ~ cC34(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cowlThing(iV16455)
| ~ cC42(iV16455)
| ~ cC44(iV16455)
| ~ cC56(iV16455)
| ~ cC60(iV16453)
| ~ cowlThing(iV16453)
| ~ cC62(iV16453)
| ~ cC76(iV16453)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC80(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16439)
| ~ cC28(iV16439)
| ~ cC106(iV16439)
| ~ cC104(iV16439)
| ~ cC108(iV16439)
| ~ cC130(iV16439)
| ~ cowlThing(esk115_0)
| ~ xsd_integer(esk116_0)
| cowlNothing(esk115_0)
| xsd_string(esk116_0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_108,negated_conjecture,
( ~ cC108(iV16439)
| ~ cC130(iV16439)
| ~ cC34(iV16459)
| ~ cC38(iV16465)
| ~ cC38(iV16462)
| ~ cC38(iV16457)
| ~ cC38(iV16460)
| ~ cC38(iV16448)
| ~ cC50(iV16459)
| ~ cC56(iV16464)
| ~ cC56(iV16455)
| ~ cC56(iV16461)
| ~ cC68(iV16459)
| ~ cC76(iV16453)
| ~ cC76(iV16463)
| ~ cC88(iV16459)
| ~ cC98(iV16440)
| xsd_integer(esk116_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_83]),c_0_83]),c_0_84]),c_0_84]),c_0_84]),c_0_85]),c_0_85]),c_0_86]),c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_109,plain,
cC98(iV16440),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_110,plain,
cC76(iV16463),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_111,plain,
cC56(iV16461),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_112,plain,
cC56(iV16464),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_113,plain,
cC38(iV16460),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_114,plain,
cC38(iV16462),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_115,plain,
cC38(iV16465),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_116,plain,
cC130(iV16439),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_117,plain,
cC108(iV16439),
inference(spm,[status(thm)],[c_0_105,c_0_104]) ).
cnf(c_0_118,plain,
( ~ cC32xcomp(X1)
| ~ cC30xcomp(X1)
| cC34(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_119,plain,
cC32xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_216]) ).
cnf(c_0_120,plain,
cC30xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_209]) ).
fof(c_0_121,plain,
! [X190] :
( ( cC38(X190)
| ~ cC36xcomp(X190)
| ~ cTOP(X190) )
& ( ~ cC38(X190)
| cC36xcomp(X190) )
& ( ~ cC38(X190)
| cTOP(X190) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])])])]) ).
fof(c_0_122,plain,
! [X332] :
( ( cC68(X332)
| ~ cC66xcomp(X332)
| ~ cC64xcomp(X332) )
& ( ~ cC68(X332)
| cC66xcomp(X332) )
& ( ~ cC68(X332)
| cC64xcomp(X332) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_100])])])]) ).
fof(c_0_123,plain,
! [X242] :
( ( cC50(X242)
| ~ cC48xcomp(X242)
| ~ cC46xcomp(X242) )
& ( ~ cC50(X242)
| cC48xcomp(X242) )
& ( ~ cC50(X242)
| cC46xcomp(X242) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_73])])])]) ).
fof(c_0_124,plain,
! [X219,X221,X222] :
( ( cC42(X221)
| ~ cC8xcomp(X222)
| ~ rR1(X221,X222) )
& ( ~ cC42(X219)
| cC8xcomp(esk51_1(X219)) )
& ( ~ cC42(X219)
| rR1(X219,esk51_1(X219)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_65])])])])])])]) ).
fof(c_0_125,plain,
! [X305,X307,X308] :
( ( cC60(X307)
| ~ cC12xcomp(X308)
| ~ rR1(X307,X308) )
& ( ~ cC60(X305)
| cC12xcomp(esk71_1(X305)) )
& ( ~ cC60(X305)
| rR1(X305,esk71_1(X305)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_91])])])])])])]) ).
cnf(c_0_126,negated_conjecture,
( ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC82(iV16440)
| ~ cC80(iV16440)
| ~ cC76(iV16453)
| ~ cC76(iV16463)
| ~ cC68(iV16459)
| ~ cC62(iV16453)
| ~ cC62(iV16463)
| ~ cC60(iV16453)
| ~ cC60(iV16463)
| ~ cC56(iV16464)
| ~ cC56(iV16455)
| ~ cC56(iV16461)
| ~ cC50(iV16459)
| ~ cC44(iV16464)
| ~ cC44(iV16455)
| ~ cC44(iV16461)
| ~ cC42(iV16464)
| ~ cC42(iV16455)
| ~ cC42(iV16461)
| ~ cC38(iV16465)
| ~ cC38(iV16462)
| ~ cC38(iV16457)
| ~ cC38(iV16460)
| ~ cC38(iV16448)
| ~ cC34(iV16459)
| ~ cC130(iV16439)
| ~ cC28(iV16439)
| ~ cC108(iV16439)
| ~ cC106(iV16439)
| ~ cC104(iV16439)
| ~ xsd_integer(esk116_0)
| xsd_string(esk116_0)
| cowlNothing(esk115_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59]),c_0_59])]) ).
cnf(c_0_127,negated_conjecture,
( ~ cC34(iV16459)
| ~ cC38(iV16457)
| ~ cC38(iV16448)
| ~ cC50(iV16459)
| ~ cC56(iV16455)
| ~ cC68(iV16459)
| ~ cC76(iV16453)
| ~ cC88(iV16459)
| xsd_integer(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_128,plain,
cC34(iV16459),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).
cnf(c_0_129,plain,
( ~ cC36xcomp(X1)
| ~ cTOP(X1)
| cC38(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_130,plain,
cTOP(iV16457),
inference(split_conjunct,[status(thm)],[axiom_197]) ).
cnf(c_0_131,plain,
cC36xcomp(iV16457),
inference(split_conjunct,[status(thm)],[axiom_201]) ).
cnf(c_0_132,plain,
( ~ cC66xcomp(X1)
| ~ cC64xcomp(X1)
| cC68(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_133,plain,
cC66xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_221]) ).
cnf(c_0_134,plain,
cC64xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_213]) ).
cnf(c_0_135,plain,
( ~ cC48xcomp(X1)
| ~ cC46xcomp(X1)
| cC50(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_136,plain,
cC48xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_217]) ).
cnf(c_0_137,plain,
cC46xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_212]) ).
cnf(c_0_138,plain,
cTOP(iV16448),
inference(split_conjunct,[status(thm)],[axiom_163]) ).
cnf(c_0_139,plain,
cC36xcomp(iV16448),
inference(split_conjunct,[status(thm)],[axiom_168]) ).
fof(c_0_140,plain,
! [X429] :
( ( cC88(X429)
| ~ cC86xcomp(X429)
| ~ cC84xcomp(X429) )
& ( ~ cC88(X429)
| cC86xcomp(X429) )
& ( ~ cC88(X429)
| cC84xcomp(X429) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_128])])])]) ).
cnf(c_0_141,plain,
( ~ cC42(X1)
| ~ cC40xcomp(X1)
| cC44(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_142,plain,
cC40xcomp(iV16455),
inference(split_conjunct,[status(thm)],[axiom_185]) ).
cnf(c_0_143,plain,
( ~ cC8xcomp(X2)
| ~ rR1(X1,X2)
| cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_144,plain,
cC8xcomp(iV16460),
inference(split_conjunct,[status(thm)],[axiom_227]) ).
cnf(c_0_145,plain,
( ~ cC58xcomp(X1)
| ~ cC60(X1)
| cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_146,plain,
cC58xcomp(iV16453),
inference(split_conjunct,[status(thm)],[axiom_181]) ).
cnf(c_0_147,plain,
( ~ cC12xcomp(X2)
| ~ rR1(X1,X2)
| cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_148,plain,
cC12xcomp(iV16461),
inference(split_conjunct,[status(thm)],[axiom_237]) ).
cnf(c_0_149,negated_conjecture,
( ~ cC108(iV16439)
| ~ cC130(iV16439)
| ~ cC34(iV16459)
| ~ cC38(iV16465)
| ~ cC38(iV16462)
| ~ cC38(iV16457)
| ~ cC38(iV16460)
| ~ cC38(iV16448)
| ~ cC50(iV16459)
| ~ cC56(iV16464)
| ~ cC56(iV16455)
| ~ cC56(iV16461)
| ~ cC68(iV16459)
| ~ cC76(iV16453)
| ~ cC76(iV16463)
| ~ cC88(iV16459)
| ~ cC98(iV16440)
| xsd_string(esk116_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_126,c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_83]),c_0_83]),c_0_84]),c_0_84]),c_0_84]),c_0_85]),c_0_85]),c_0_86]),c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_150,negated_conjecture,
( ~ cC38(iV16457)
| ~ cC38(iV16448)
| ~ cC50(iV16459)
| ~ cC56(iV16455)
| ~ cC68(iV16459)
| ~ cC76(iV16453)
| ~ cC88(iV16459)
| xsd_integer(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).
cnf(c_0_151,plain,
cC38(iV16457),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_152,plain,
cC68(iV16459),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).
cnf(c_0_153,plain,
cC50(iV16459),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).
cnf(c_0_154,plain,
cC38(iV16448),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_138]),c_0_139])]) ).
cnf(c_0_155,plain,
( ~ cC86xcomp(X1)
| ~ cC84xcomp(X1)
| cC88(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_156,plain,
cC86xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_215]) ).
cnf(c_0_157,plain,
cC84xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_210]) ).
cnf(c_0_158,plain,
( ~ cC44(X1)
| ~ cC54xcomp(X1)
| cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_159,plain,
cC54xcomp(iV16455),
inference(split_conjunct,[status(thm)],[axiom_190]) ).
cnf(c_0_160,plain,
( ~ cC42(iV16455)
| cC44(iV16455) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_161,plain,
cC42(iV16455),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_98]),c_0_144])]) ).
cnf(c_0_162,plain,
( ~ cC62(X1)
| ~ cC74xcomp(X1)
| cC76(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_163,plain,
cC74xcomp(iV16453),
inference(split_conjunct,[status(thm)],[axiom_174]) ).
cnf(c_0_164,plain,
( ~ cC60(iV16453)
| cC62(iV16453) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_165,plain,
cC60(iV16453),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_94]),c_0_148])]) ).
cnf(c_0_166,negated_conjecture,
( ~ cC34(iV16459)
| ~ cC38(iV16457)
| ~ cC38(iV16448)
| ~ cC50(iV16459)
| ~ cC56(iV16455)
| ~ cC68(iV16459)
| ~ cC76(iV16453)
| ~ cC88(iV16459)
| xsd_string(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]),c_0_117])]) ).
cnf(c_0_167,negated_conjecture,
( ~ cC56(iV16455)
| ~ cC76(iV16453)
| ~ cC88(iV16459)
| xsd_integer(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151])]),c_0_152]),c_0_153]),c_0_154])]) ).
cnf(c_0_168,plain,
cC88(iV16459),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).
cnf(c_0_169,plain,
( ~ cC44(iV16455)
| cC56(iV16455) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_170,plain,
cC44(iV16455),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]) ).
cnf(c_0_171,plain,
( ~ cC62(iV16453)
| cC76(iV16453) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_172,plain,
cC62(iV16453),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_173,negated_conjecture,
( ~ cC38(iV16457)
| ~ cC38(iV16448)
| ~ cC50(iV16459)
| ~ cC56(iV16455)
| ~ cC68(iV16459)
| ~ cC76(iV16453)
| ~ cC88(iV16459)
| xsd_string(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_128])]) ).
cnf(c_0_174,negated_conjecture,
( ~ cC56(iV16455)
| ~ cC76(iV16453)
| xsd_integer(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).
cnf(c_0_175,plain,
cC56(iV16455),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).
cnf(c_0_176,plain,
cC76(iV16453),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).
cnf(c_0_177,negated_conjecture,
( ~ cC56(iV16455)
| ~ cC76(iV16453)
| ~ cC88(iV16459)
| xsd_string(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_151])]),c_0_152]),c_0_153]),c_0_154])]) ).
cnf(c_0_178,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_179,negated_conjecture,
xsd_integer(esk116_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175])]),c_0_176])]) ).
cnf(c_0_180,negated_conjecture,
( ~ cC56(iV16455)
| ~ cC76(iV16453)
| xsd_string(esk116_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_168])]) ).
cnf(c_0_181,negated_conjecture,
~ xsd_string(esk116_0),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_182,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_175])]),c_0_176])]),c_0_181]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS161+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n019.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 22:55:21 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.72 % Version: 3.5.1
% 0.13/0.72 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.13/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.72 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.13/0.72 % Starting new_bool_3 with 600s (2) cores
% 0.13/0.72 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.72 % Starting sh5l with 300s (1) cores
% 0.13/0.72 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 1099762 completed with status 0
% 0.13/0.72 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.13/0.72 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.13/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.72 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.13/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.72 % No SInE strategy applied
% 0.13/0.72 % Search class: FGHNF-FSLM11-SFFFFFNN
% 0.13/0.72 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.13/0.72 % Starting SubtermCWHack with 109s (1) cores
% 0.13/0.72 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.13/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 0.13/0.72 % Starting new_bool_3 with 113s (1) cores
% 0.13/0.72 % new_bool_3 with pid 1099780 completed with status 0
% 0.13/0.72 % Result found by new_bool_3
% 0.13/0.72 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.13/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.72 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.13/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.72 % No SInE strategy applied
% 0.13/0.72 % Search class: FGHNF-FSLM11-SFFFFFNN
% 0.13/0.72 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.13/0.72 % Starting SubtermCWHack with 109s (1) cores
% 0.13/0.72 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.13/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 0.13/0.72 % Starting new_bool_3 with 113s (1) cores
% 0.13/0.72 % Preprocessing time : 0.006 s
% 0.13/0.72 % Presaturation interreduction done
% 0.13/0.72
% 0.13/0.72 % Proof found!
% 0.13/0.72 % SZS status Theorem
% 0.13/0.72 % SZS output start CNFRefutation
% See solution above
% 0.13/0.72 % Parsed axioms : 287
% 0.13/0.72 % Removed by relevancy pruning/SinE : 0
% 0.13/0.72 % Initial clauses : 492
% 0.13/0.72 % Removed in clause preprocessing : 17
% 0.13/0.72 % Initial clauses in saturation : 475
% 0.13/0.72 % Processed clauses : 925
% 0.13/0.72 % ...of these trivial : 0
% 0.13/0.72 % ...subsumed : 0
% 0.13/0.72 % ...remaining for further processing : 924
% 0.13/0.72 % Other redundant clauses eliminated : 0
% 0.13/0.72 % Clauses deleted for lack of memory : 0
% 0.13/0.72 % Backward-subsumed : 0
% 0.13/0.72 % Backward-rewritten : 16
% 0.13/0.72 % Generated clauses : 668
% 0.13/0.72 % ...of the previous two non-redundant : 595
% 0.13/0.72 % ...aggressively subsumed : 0
% 0.13/0.72 % Contextual simplify-reflections : 32
% 0.13/0.72 % Paramodulations : 668
% 0.13/0.72 % Factorizations : 0
% 0.13/0.72 % NegExts : 0
% 0.13/0.72 % Equation resolutions : 0
% 0.13/0.72 % Disequality decompositions : 0
% 0.13/0.72 % Total rewrite steps : 84
% 0.13/0.72 % ...of those cached : 28
% 0.13/0.72 % Propositional unsat checks : 0
% 0.13/0.72 % Propositional check models : 0
% 0.13/0.72 % Propositional check unsatisfiable : 0
% 0.13/0.72 % Propositional clauses : 0
% 0.13/0.72 % Propositional clauses after purity: 0
% 0.13/0.72 % Propositional unsat core size : 0
% 0.13/0.72 % Propositional preprocessing time : 0.000
% 0.13/0.72 % Propositional encoding time : 0.000
% 0.13/0.72 % Propositional solver time : 0.000
% 0.13/0.72 % Success case prop preproc time : 0.000
% 0.13/0.72 % Success case prop encoding time : 0.000
% 0.13/0.72 % Success case prop solver time : 0.000
% 0.13/0.72 % Current number of processed clauses : 433
% 0.13/0.72 % Positive orientable unit clauses : 122
% 0.13/0.72 % Positive unorientable unit clauses: 0
% 0.13/0.72 % Negative unit clauses : 2
% 0.13/0.72 % Non-unit-clauses : 309
% 0.13/0.72 % Current number of unprocessed clauses: 620
% 0.13/0.72 % ...number of literals in the above : 1356
% 0.13/0.72 % Current number of archived formulas : 0
% 0.13/0.72 % Current number of archived clauses : 492
% 0.13/0.72 % Clause-clause subsumption calls (NU) : 68193
% 0.13/0.72 % Rec. Clause-clause subsumption calls : 43510
% 0.13/0.72 % Non-unit clause-clause subsumptions : 32
% 0.13/0.72 % Unit Clause-clause subsumption calls : 3940
% 0.13/0.72 % Rewrite failures with RHS unbound : 0
% 0.13/0.72 % BW rewrite match attempts : 12
% 0.13/0.72 % BW rewrite match successes : 12
% 0.13/0.72 % Condensation attempts : 0
% 0.13/0.72 % Condensation successes : 0
% 0.13/0.72 % Termbank termtop insertions : 33709
% 0.13/0.72 % Search garbage collected termcells : 6511
% 0.13/0.72
% 0.13/0.72 % -------------------------------------------------
% 0.13/0.72 % User time : 0.073 s
% 0.13/0.72 % System time : 0.009 s
% 0.13/0.72 % Total time : 0.082 s
% 0.13/0.72 % Maximum resident set size: 4920 pages
% 0.13/0.72
% 0.13/0.72 % -------------------------------------------------
% 0.13/0.72 % User time : 0.244 s
% 0.13/0.72 % System time : 0.031 s
% 0.13/0.72 % Total time : 0.274 s
% 0.13/0.72 % Maximum resident set size: 4864 pages
% 0.13/0.72 % E exiting
%------------------------------------------------------------------------------