%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS161+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:36:45 PM UTC 2026
% Result : Theorem 1.49s 1.82s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 58
% Syntax : Number of formulae : 193 ( 101 unt; 0 def)
% Number of atoms : 843 ( 0 equ)
% Maximal formula atoms : 98 ( 4 avg)
% Number of connectives : 1142 ( 492 ~; 481 |; 147 &)
% ( 20 <=>; 2 =>; 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 : 82 ( 2 sgn 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(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)
<=> ( cC104(X1)
& cC100xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X1] :
( cC108(X1)
<=> ( cC28(X1)
& cC106(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_66,axiom,
! [X1] :
( cC44(X1)
<=> ( cC40xcomp(X1)
& cC42(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
fof(axiom_82,axiom,
! [X1] :
( cC56(X1)
<=> ( cC54xcomp(X1)
& cC44(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_92,axiom,
! [X1] :
( cC62(X1)
<=> ( cC60(X1)
& cC58xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).
fof(axiom_112,axiom,
! [X1] :
( cC76(X1)
<=> ( cC74xcomp(X1)
& cC62(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
fof(axiom_120,axiom,
! [X1] :
( cC82(X1)
<=> ( cC80(X1)
& cC78xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
fof(axiom_143,axiom,
! [X1] :
( cC98(X1)
<=> ( cC96xcomp(X1)
& cC82(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_143) ).
fof(axiom_145,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC108(X1)
& cC130(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_145) ).
fof(axiom_149,axiom,
cTEST(iV16439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
fof(axiom_146,axiom,
! [X1] :
( rR1(iV16439,X1)
=> cC98(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_146) ).
fof(axiom_52,axiom,
! [X1] :
( cC34(X1)
<=> ( cC30xcomp(X1)
& cC32xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(axiom_65,axiom,
! [X1] :
( cC42(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC8xcomp(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_150,axiom,
rR1(iV16439,iV16440),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_150) ).
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)
<=> ( cTOP(X1)
& cC36xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_128,axiom,
! [X1] :
( cC88(X1)
<=> ( cC84xcomp(X1)
& cC86xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
fof(axiom_100,axiom,
! [X1] :
( cC68(X1)
<=> ( cC64xcomp(X1)
& cC66xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
fof(axiom_73,axiom,
! [X1] :
( cC50(X1)
<=> ( cC46xcomp(X1)
& cC48xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
fof(axiom_266,axiom,
cC40xcomp(iV16464),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_266) ).
fof(axiom_274,axiom,
rR1(iV16464,iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_274) ).
fof(axiom_280,axiom,
cC8xcomp(iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_280) ).
fof(axiom_234,axiom,
cC40xcomp(iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_234) ).
fof(axiom_243,axiom,
rR1(iV16461,iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_243) ).
fof(axiom_249,axiom,
cC8xcomp(iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_249) ).
fof(axiom_185,axiom,
cC40xcomp(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_185) ).
fof(axiom_193,axiom,
rR1(iV16455,iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_193) ).
fof(axiom_227,axiom,
cC8xcomp(iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_227) ).
fof(axiom_91,axiom,
! [X1] :
( cC60(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC12xcomp(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).
fof(axiom_277,axiom,
cTOP(iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_277) ).
fof(axiom_282,axiom,
cC36xcomp(iV16465),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_282) ).
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_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_225,axiom,
cTOP(iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_225) ).
fof(axiom_228,axiom,
cC36xcomp(iV16460),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_228) ).
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_247,axiom,
cTOP(iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_247) ).
fof(axiom_252,axiom,
cC36xcomp(iV16462),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_252) ).
fof(axiom_270,axiom,
cC54xcomp(iV16464),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_270) ).
fof(axiom_240,axiom,
cC54xcomp(iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_240) ).
fof(axiom_190,axiom,
cC54xcomp(iV16455),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_190) ).
fof(axiom_181,axiom,
cC58xcomp(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_181) ).
fof(axiom_182,axiom,
rR1(iV16453,iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_182) ).
fof(axiom_237,axiom,
cC12xcomp(iV16461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_237) ).
fof(axiom_174,axiom,
cC74xcomp(iV16453),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_174) ).
fof(axiom_156,axiom,
! [X1] :
( rR1(iV16440,X1)
=> cC76(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_156) ).
fof(axiom_159,axiom,
rR1(iV16440,iV16463),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_159) ).
fof(c_0_58,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_59,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_60,negated_conjecture,
( ( ~ xsd_string(esk116_0)
| xsd_integer(esk116_0)
| ~ cowlThing(esk115_0)
| cowlNothing(esk115_0)
| ~ 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) )
& ( xsd_string(esk116_0)
| ~ xsd_integer(esk116_0)
| ~ cowlThing(esk115_0)
| cowlNothing(esk115_0)
| ~ 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(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_61,plain,
! [X307] :
( cowlThing(X307)
& ~ cowlNothing(X307) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_62,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_63,negated_conjecture,
( xsd_integer(esk116_0)
| cowlNothing(esk115_0)
| ~ xsd_string(esk116_0)
| ~ cowlThing(esk115_0)
| ~ 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(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_65,plain,
! [X308] :
( ( ~ xsd_string(X308)
| ~ xsd_integer(X308) )
& ( xsd_integer(X308)
| xsd_string(X308) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_66,plain,
! [X342] :
( ( cC104(X342)
| ~ cC106(X342) )
& ( cC100xcomp(X342)
| ~ cC106(X342) )
& ( ~ cC104(X342)
| ~ cC100xcomp(X342)
| cC106(X342) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])]) ).
fof(c_0_67,plain,
! [X343] :
( ( cC28(X343)
| ~ cC108(X343) )
& ( cC106(X343)
| ~ cC108(X343) )
& ( ~ cC28(X343)
| ~ cC106(X343)
| cC108(X343) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])])]) ).
fof(c_0_68,plain,
! [X526] :
( ( cC40xcomp(X526)
| ~ cC44(X526) )
& ( cC42(X526)
| ~ cC44(X526) )
& ( ~ cC40xcomp(X526)
| ~ cC42(X526)
| cC44(X526) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_66])])]) ).
fof(c_0_69,plain,
! [X578] :
( ( cC54xcomp(X578)
| ~ cC56(X578) )
& ( cC44(X578)
| ~ cC56(X578) )
& ( ~ cC54xcomp(X578)
| ~ cC44(X578)
| cC56(X578) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_82])])]) ).
fof(c_0_70,plain,
! [X612] :
( ( cC60(X612)
| ~ cC62(X612) )
& ( cC58xcomp(X612)
| ~ cC62(X612) )
& ( ~ cC60(X612)
| ~ cC58xcomp(X612)
| cC62(X612) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_92])])]) ).
fof(c_0_71,plain,
! [X680] :
( ( cC74xcomp(X680)
| ~ cC76(X680) )
& ( cC62(X680)
| ~ cC76(X680) )
& ( ~ cC74xcomp(X680)
| ~ cC62(X680)
| cC76(X680) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_112])])]) ).
fof(c_0_72,plain,
! [X709] :
( ( cC80(X709)
| ~ cC82(X709) )
& ( cC78xcomp(X709)
| ~ cC82(X709) )
& ( ~ cC80(X709)
| ~ cC78xcomp(X709)
| cC82(X709) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_120])])]) ).
fof(c_0_73,plain,
! [X789] :
( ( cC96xcomp(X789)
| ~ cC98(X789) )
& ( cC82(X789)
| ~ cC98(X789) )
& ( ~ cC96xcomp(X789)
| ~ cC82(X789)
| cC98(X789) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_143])])]) ).
fof(c_0_74,plain,
! [X794] :
( ( cC108(X794)
| ~ cTEST(X794) )
& ( cC130(X794)
| ~ cTEST(X794) )
& ( ~ cC108(X794)
| ~ cC130(X794)
| cTEST(X794) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_145])])]) ).
cnf(c_0_75,negated_conjecture,
( xsd_string(esk116_0)
| cowlNothing(esk115_0)
| ~ xsd_integer(esk116_0)
| ~ cowlThing(esk115_0)
| ~ 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(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_76,negated_conjecture,
( cowlNothing(esk115_0)
| xsd_integer(esk116_0)
| ~ xsd_string(esk116_0)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC108(iV16439)
| ~ cC28(iV16439)
| ~ cC130(iV16439)
| ~ cC34(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC42(iV16461)
| ~ cC42(iV16455)
| ~ cC42(iV16464)
| ~ cC44(iV16461)
| ~ cC44(iV16455)
| ~ cC44(iV16464)
| ~ cC50(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC60(iV16463)
| ~ cC60(iV16453)
| ~ cC62(iV16463)
| ~ cC62(iV16453)
| ~ cC68(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cC88(iV16459)
| ~ cC98(iV16440) ),
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_63,c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64])]) ).
cnf(c_0_77,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_78,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_79,plain,
( cC104(X1)
| ~ cC106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,plain,
( cC106(X1)
| ~ cC108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( cC28(X1)
| ~ cC108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_82,plain,
( cC42(X1)
| ~ cC44(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_83,plain,
( cC44(X1)
| ~ cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_84,plain,
( cC60(X1)
| ~ cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_85,plain,
( cC62(X1)
| ~ cC76(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_86,plain,
( cC80(X1)
| ~ cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_87,plain,
( cC82(X1)
| ~ cC98(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,plain,
( cC130(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,plain,
cTEST(iV16439),
inference(split_conjunct,[status(thm)],[axiom_149]) ).
cnf(c_0_90,plain,
( cC108(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_91,negated_conjecture,
( cowlNothing(esk115_0)
| xsd_string(esk116_0)
| ~ xsd_integer(esk116_0)
| ~ cC104(iV16439)
| ~ cC106(iV16439)
| ~ cC108(iV16439)
| ~ cC28(iV16439)
| ~ cC130(iV16439)
| ~ cC34(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC42(iV16461)
| ~ cC42(iV16455)
| ~ cC42(iV16464)
| ~ cC44(iV16461)
| ~ cC44(iV16455)
| ~ cC44(iV16464)
| ~ cC50(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC60(iV16463)
| ~ cC60(iV16453)
| ~ cC62(iV16463)
| ~ cC62(iV16453)
| ~ cC68(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC80(iV16440)
| ~ cC82(iV16440)
| ~ cC88(iV16459)
| ~ cC98(iV16440) ),
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_75,c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64]),c_0_64])]) ).
cnf(c_0_92,negated_conjecture,
( xsd_integer(esk116_0)
| ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC34(iV16459)
| ~ cC130(iV16439)
| ~ cC108(iV16439) ),
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_76,c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_82]),c_0_82]),c_0_83]),c_0_83]),c_0_83]),c_0_84]),c_0_84]),c_0_85]),c_0_85]),c_0_86]),c_0_87]) ).
cnf(c_0_93,plain,
cC130(iV16439),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
cC108(iV16439),
inference(spm,[status(thm)],[c_0_90,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( xsd_string(esk116_0)
| ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC34(iV16459)
| ~ cC130(iV16439)
| ~ cC108(iV16439) ),
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_91,c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_82]),c_0_82]),c_0_83]),c_0_83]),c_0_83]),c_0_84]),c_0_84]),c_0_85]),c_0_85]),c_0_86]),c_0_87]) ).
cnf(c_0_96,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_97,negated_conjecture,
( xsd_integer(esk116_0)
| ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC34(iV16459) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_98,negated_conjecture,
( xsd_string(esk116_0)
| ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC34(iV16459) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_93]),c_0_94])]) ).
fof(c_0_99,plain,
! [X795] :
( ~ rR1(iV16439,X795)
| cC98(X795) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_146])]) ).
fof(c_0_100,plain,
! [X476] :
( ( cC30xcomp(X476)
| ~ cC34(X476) )
& ( cC32xcomp(X476)
| ~ cC34(X476) )
& ( ~ cC30xcomp(X476)
| ~ cC32xcomp(X476)
| cC34(X476) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_52])])]) ).
fof(c_0_101,plain,
! [X522,X524,X525] :
( ( rR1(X522,esk51_1(X522))
| ~ cC42(X522) )
& ( cC8xcomp(esk51_1(X522))
| ~ cC42(X522) )
& ( ~ rR1(X524,X525)
| ~ cC8xcomp(X525)
| cC42(X524) ) ),
inference(distribute,[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])])])])])]) ).
cnf(c_0_102,negated_conjecture,
( ~ cC98(iV16440)
| ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC34(iV16459) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_103,plain,
( cC98(X1)
| ~ rR1(iV16439,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,plain,
rR1(iV16439,iV16440),
inference(split_conjunct,[status(thm)],[axiom_150]) ).
cnf(c_0_105,plain,
( cC34(X1)
| ~ cC30xcomp(X1)
| ~ cC32xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
cC32xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_216]) ).
cnf(c_0_107,plain,
cC30xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_209]) ).
fof(c_0_108,plain,
! [X493] :
( ( cTOP(X493)
| ~ cC38(X493) )
& ( cC36xcomp(X493)
| ~ cC38(X493) )
& ( ~ cTOP(X493)
| ~ cC36xcomp(X493)
| cC38(X493) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])])]) ).
fof(c_0_109,plain,
! [X732] :
( ( cC84xcomp(X732)
| ~ cC88(X732) )
& ( cC86xcomp(X732)
| ~ cC88(X732) )
& ( ~ cC84xcomp(X732)
| ~ cC86xcomp(X732)
| cC88(X732) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_128])])]) ).
fof(c_0_110,plain,
! [X635] :
( ( cC64xcomp(X635)
| ~ cC68(X635) )
& ( cC66xcomp(X635)
| ~ cC68(X635) )
& ( ~ cC64xcomp(X635)
| ~ cC66xcomp(X635)
| cC68(X635) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_100])])]) ).
fof(c_0_111,plain,
! [X545] :
( ( cC46xcomp(X545)
| ~ cC50(X545) )
& ( cC48xcomp(X545)
| ~ cC50(X545) )
& ( ~ cC46xcomp(X545)
| ~ cC48xcomp(X545)
| cC50(X545) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_73])])]) ).
cnf(c_0_112,plain,
( cC44(X1)
| ~ cC40xcomp(X1)
| ~ cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_113,plain,
cC40xcomp(iV16464),
inference(split_conjunct,[status(thm)],[axiom_266]) ).
cnf(c_0_114,plain,
( cC42(X1)
| ~ rR1(X1,X2)
| ~ cC8xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_115,plain,
rR1(iV16464,iV16465),
inference(split_conjunct,[status(thm)],[axiom_274]) ).
cnf(c_0_116,plain,
cC8xcomp(iV16465),
inference(split_conjunct,[status(thm)],[axiom_280]) ).
cnf(c_0_117,plain,
cC40xcomp(iV16461),
inference(split_conjunct,[status(thm)],[axiom_234]) ).
cnf(c_0_118,plain,
rR1(iV16461,iV16462),
inference(split_conjunct,[status(thm)],[axiom_243]) ).
cnf(c_0_119,plain,
cC8xcomp(iV16462),
inference(split_conjunct,[status(thm)],[axiom_249]) ).
cnf(c_0_120,plain,
cC40xcomp(iV16455),
inference(split_conjunct,[status(thm)],[axiom_185]) ).
cnf(c_0_121,plain,
rR1(iV16455,iV16460),
inference(split_conjunct,[status(thm)],[axiom_193]) ).
cnf(c_0_122,plain,
cC8xcomp(iV16460),
inference(split_conjunct,[status(thm)],[axiom_227]) ).
fof(c_0_123,plain,
! [X608,X610,X611] :
( ( rR1(X608,esk71_1(X608))
| ~ cC60(X608) )
& ( cC12xcomp(esk71_1(X608))
| ~ cC60(X608) )
& ( ~ rR1(X610,X611)
| ~ cC12xcomp(X611)
| cC60(X610) ) ),
inference(distribute,[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_124,negated_conjecture,
( ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465)
| ~ cC34(iV16459) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_125,plain,
cC34(iV16459),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_126,plain,
( cC38(X1)
| ~ cTOP(X1)
| ~ cC36xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_127,plain,
cTOP(iV16465),
inference(split_conjunct,[status(thm)],[axiom_277]) ).
cnf(c_0_128,plain,
cC36xcomp(iV16465),
inference(split_conjunct,[status(thm)],[axiom_282]) ).
cnf(c_0_129,plain,
( cC88(X1)
| ~ cC84xcomp(X1)
| ~ cC86xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_130,plain,
cC86xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_215]) ).
cnf(c_0_131,plain,
cC84xcomp(iV16459),
inference(split_conjunct,[status(thm)],[axiom_210]) ).
cnf(c_0_132,plain,
( cC68(X1)
| ~ cC64xcomp(X1)
| ~ cC66xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
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,
( cC50(X1)
| ~ cC46xcomp(X1)
| ~ cC48xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
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]) ).
cnf(c_0_140,plain,
cTOP(iV16460),
inference(split_conjunct,[status(thm)],[axiom_225]) ).
cnf(c_0_141,plain,
cC36xcomp(iV16460),
inference(split_conjunct,[status(thm)],[axiom_228]) ).
cnf(c_0_142,plain,
cTOP(iV16457),
inference(split_conjunct,[status(thm)],[axiom_197]) ).
cnf(c_0_143,plain,
cC36xcomp(iV16457),
inference(split_conjunct,[status(thm)],[axiom_201]) ).
cnf(c_0_144,plain,
cTOP(iV16462),
inference(split_conjunct,[status(thm)],[axiom_247]) ).
cnf(c_0_145,plain,
cC36xcomp(iV16462),
inference(split_conjunct,[status(thm)],[axiom_252]) ).
cnf(c_0_146,plain,
( cC56(X1)
| ~ cC54xcomp(X1)
| ~ cC44(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_147,plain,
cC54xcomp(iV16464),
inference(split_conjunct,[status(thm)],[axiom_270]) ).
cnf(c_0_148,plain,
( cC44(iV16464)
| ~ cC42(iV16464) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_149,plain,
cC42(iV16464),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_150,plain,
cC54xcomp(iV16461),
inference(split_conjunct,[status(thm)],[axiom_240]) ).
cnf(c_0_151,plain,
( cC44(iV16461)
| ~ cC42(iV16461) ),
inference(spm,[status(thm)],[c_0_112,c_0_117]) ).
cnf(c_0_152,plain,
cC42(iV16461),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_118]),c_0_119])]) ).
cnf(c_0_153,plain,
cC54xcomp(iV16455),
inference(split_conjunct,[status(thm)],[axiom_190]) ).
cnf(c_0_154,plain,
( cC44(iV16455)
| ~ cC42(iV16455) ),
inference(spm,[status(thm)],[c_0_112,c_0_120]) ).
cnf(c_0_155,plain,
cC42(iV16455),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_121]),c_0_122])]) ).
cnf(c_0_156,plain,
( cC62(X1)
| ~ cC60(X1)
| ~ cC58xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_157,plain,
cC58xcomp(iV16453),
inference(split_conjunct,[status(thm)],[axiom_181]) ).
cnf(c_0_158,plain,
( cC60(X1)
| ~ rR1(X1,X2)
| ~ cC12xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_159,plain,
rR1(iV16453,iV16461),
inference(split_conjunct,[status(thm)],[axiom_182]) ).
cnf(c_0_160,plain,
cC12xcomp(iV16461),
inference(split_conjunct,[status(thm)],[axiom_237]) ).
cnf(c_0_161,negated_conjecture,
( ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC38(iV16448)
| ~ cC38(iV16460)
| ~ cC38(iV16457)
| ~ cC38(iV16462)
| ~ cC38(iV16465) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).
cnf(c_0_162,plain,
cC38(iV16465),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).
cnf(c_0_163,plain,
cC88(iV16459),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_164,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_165,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_166,plain,
cC38(iV16448),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_138]),c_0_139])]) ).
cnf(c_0_167,plain,
cC38(iV16460),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_140]),c_0_141])]) ).
cnf(c_0_168,plain,
cC38(iV16457),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_142]),c_0_143])]) ).
cnf(c_0_169,plain,
cC38(iV16462),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_144]),c_0_145])]) ).
cnf(c_0_170,plain,
( cC56(iV16464)
| ~ cC44(iV16464) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_171,plain,
cC44(iV16464),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_172,plain,
( cC56(iV16461)
| ~ cC44(iV16461) ),
inference(spm,[status(thm)],[c_0_146,c_0_150]) ).
cnf(c_0_173,plain,
cC44(iV16461),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]) ).
cnf(c_0_174,plain,
( cC56(iV16455)
| ~ cC44(iV16455) ),
inference(spm,[status(thm)],[c_0_146,c_0_153]) ).
cnf(c_0_175,plain,
cC44(iV16455),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).
cnf(c_0_176,plain,
( cC76(X1)
| ~ cC74xcomp(X1)
| ~ cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_177,plain,
cC74xcomp(iV16453),
inference(split_conjunct,[status(thm)],[axiom_174]) ).
cnf(c_0_178,plain,
( cC62(iV16453)
| ~ cC60(iV16453) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_179,plain,
cC60(iV16453),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).
cnf(c_0_180,negated_conjecture,
( ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464) ),
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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_162])]),c_0_163]),c_0_164]),c_0_165]),c_0_166]),c_0_167]),c_0_168]),c_0_169])]) ).
cnf(c_0_181,plain,
cC56(iV16464),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_182,plain,
cC56(iV16461),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]) ).
cnf(c_0_183,plain,
cC56(iV16455),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175])]) ).
cnf(c_0_184,plain,
( cC76(iV16453)
| ~ cC62(iV16453) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_185,plain,
cC62(iV16453),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
cnf(c_0_186,negated_conjecture,
( ~ cC76(iV16463)
| ~ cC76(iV16453) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]),c_0_182]),c_0_183])]) ).
cnf(c_0_187,plain,
cC76(iV16453),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).
fof(c_0_188,plain,
! [X797] :
( ~ rR1(iV16440,X797)
| cC76(X797) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_156])]) ).
cnf(c_0_189,negated_conjecture,
~ cC76(iV16463),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).
cnf(c_0_190,plain,
( cC76(X1)
| ~ rR1(iV16440,X1) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_191,plain,
rR1(iV16440,iV16463),
inference(split_conjunct,[status(thm)],[axiom_159]) ).
cnf(c_0_192,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS161+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n009.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 20:39:11 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.49/1.82 % Version : CSE_E---1.7
% 1.49/1.82 % Problem : theBenchmark.p
% 1.49/1.82 % SZS status Theorem for theBenchmark.p
% 1.49/1.82 % SZS output start CNFRefutation
% See solution above
% 1.49/1.82 % Total time : 1.427s
%------------------------------------------------------------------------------