%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS153+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 04:36:44 PM UTC 2026
% Result : Theorem 1.45s 1.76s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 58
% Syntax : Number of formulae : 226 ( 126 unt; 0 def)
% Number of atoms : 904 ( 0 equ)
% Maximal formula atoms : 98 ( 4 avg)
% Number of connectives : 1268 ( 590 ~; 481 |; 161 &)
% ( 34 <=>; 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 : 98 ( 2 sgn 64 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC106(iV16439)
& cC28(iV16439)
& cC130(iV16439)
& cowlThing(iV16439)
& cC108(iV16439)
& cC104(iV16439)
& cC80(iV16440)
& cowlThing(iV16440)
& cC82(iV16440)
& cC98(iV16440)
& cowlThing(iV16448)
& cC38(iV16448)
& cC62(iV16453)
& cowlThing(iV16453)
& cC76(iV16453)
& cC60(iV16453)
& cC44(iV16455)
& cowlThing(iV16455)
& cC56(iV16455)
& cC42(iV16455)
& cowlThing(iV16457)
& cC38(iV16457)
& cC68(iV16459)
& cowlThing(iV16459)
& cC88(iV16459)
& cC50(iV16459)
& cC34(iV16459)
& cowlThing(iV16460)
& cC38(iV16460)
& cC44(iV16461)
& cowlThing(iV16461)
& cC56(iV16461)
& cC42(iV16461)
& cowlThing(iV16462)
& cC38(iV16462)
& cC62(iV16463)
& cowlThing(iV16463)
& cC76(iV16463)
& cC60(iV16463)
& cC44(iV16464)
& cowlThing(iV16464)
& cC56(iV16464)
& cC42(iV16464)
& cowlThing(iV16465)
& cC38(iV16465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_5,axiom,
! [X1] :
( cC106(X1)
<=> ( ~ cC100(X1)
& cC104(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_30,axiom,
! [X1] :
( cC44(X1)
<=> ( ~ cC40(X1)
& cC42(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(axiom_36,axiom,
! [X1] :
( cC56(X1)
<=> ( cC44(X1)
& ~ cC54(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(axiom_40,axiom,
! [X1] :
( cC62(X1)
<=> ( cC60(X1)
& ~ cC58(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(axiom_47,axiom,
! [X1] :
( cC76(X1)
<=> ( ~ cC74(X1)
& cC62(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(axiom_50,axiom,
! [X1] :
( cC82(X1)
<=> ( ~ cC78(X1)
& cC80(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(axiom_58,axiom,
! [X1] :
( cC98(X1)
<=> ( ~ cC96(X1)
& cC82(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(axiom_6,axiom,
! [X1] :
( cC108(X1)
<=> ( cC28(X1)
& cC106(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_59,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC108(X1)
& cC130(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(axiom_61,axiom,
cTEST(iV16439),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(axiom_27,axiom,
! [X1] :
( cC38(X1)
<=> ( ~ cC36(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(axiom_60,axiom,
! [X1] :
( rR1(iV16439,X1)
=> cC98(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(axiom_195,axiom,
~ cC36(iV16465),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_195) ).
fof(axiom_76,axiom,
~ cC36(iV16448),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(axiom_137,axiom,
~ cC36(iV16460),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_137) ).
fof(axiom_108,axiom,
~ cC36(iV16457),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
fof(axiom_161,axiom,
~ cC36(iV16462),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_161) ).
fof(axiom_25,axiom,
! [X1] :
( cC34(X1)
<=> ( ~ cC32(X1)
& ~ cC30(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(axiom_64,axiom,
rR1(iV16439,iV16440),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(axiom_196,axiom,
cTOP(iV16465),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_196) ).
fof(axiom_79,axiom,
cTOP(iV16448),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(axiom_140,axiom,
cTOP(iV16460),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_140) ).
fof(axiom_113,axiom,
cTOP(iV16457),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
fof(axiom_162,axiom,
cTOP(iV16462),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).
fof(axiom_121,axiom,
~ cC30(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
fof(axiom_135,axiom,
~ cC32(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_135) ).
fof(axiom_33,axiom,
! [X1] :
( cC50(X1)
<=> ( ~ cC46(X1)
& ~ cC48(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
fof(axiom_43,axiom,
! [X1] :
( cC68(X1)
<=> ( ~ cC64(X1)
& ~ cC66(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(axiom_29,axiom,
! [X1] :
( cC42(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC8(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_124,axiom,
~ cC46(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
fof(axiom_120,axiom,
~ cC48(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).
fof(axiom_133,axiom,
~ cC64(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).
fof(axiom_127,axiom,
~ cC66(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(axiom_53,axiom,
! [X1] :
( cC88(X1)
<=> ( ~ cC84(X1)
& ~ cC86(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(axiom_194,axiom,
~ cC8(iV16465),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_194) ).
fof(axiom_159,axiom,
~ cC8(iV16462),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_159) ).
fof(axiom_141,axiom,
~ cC8(iV16460),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_141) ).
fof(axiom_39,axiom,
! [X1] :
( cC60(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC12(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(axiom_132,axiom,
~ cC84(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(axiom_123,axiom,
~ cC86(iV16459),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).
fof(axiom_188,axiom,
rR1(iV16464,iV16465),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_188) ).
fof(axiom_179,axiom,
~ cC40(iV16464),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_179) ).
fof(axiom_157,axiom,
rR1(iV16461,iV16462),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_157) ).
fof(axiom_147,axiom,
~ cC40(iV16461),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).
fof(axiom_107,axiom,
rR1(iV16455,iV16460),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
fof(axiom_98,axiom,
~ cC40(iV16455),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).
fof(axiom_151,axiom,
~ cC12(iV16461),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_151) ).
fof(axiom_181,axiom,
~ cC54(iV16464),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_181) ).
fof(axiom_152,axiom,
~ cC54(iV16461),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_152) ).
fof(axiom_103,axiom,
~ cC54(iV16455),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
fof(axiom_96,axiom,
rR1(iV16453,iV16461),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_96) ).
fof(axiom_91,axiom,
~ cC58(iV16453),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).
fof(axiom_92,axiom,
~ cC74(iV16453),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).
fof(axiom_67,axiom,
! [X1] :
( rR1(iV16440,X1)
=> cC76(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
fof(axiom_73,axiom,
rR1(iV16440,iV16463),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
fof(c_0_58,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC106(iV16439)
& cC28(iV16439)
& cC130(iV16439)
& cowlThing(iV16439)
& cC108(iV16439)
& cC104(iV16439)
& cC80(iV16440)
& cowlThing(iV16440)
& cC82(iV16440)
& cC98(iV16440)
& cowlThing(iV16448)
& cC38(iV16448)
& cC62(iV16453)
& cowlThing(iV16453)
& cC76(iV16453)
& cC60(iV16453)
& cC44(iV16455)
& cowlThing(iV16455)
& cC56(iV16455)
& cC42(iV16455)
& cowlThing(iV16457)
& cC38(iV16457)
& cC68(iV16459)
& cowlThing(iV16459)
& cC88(iV16459)
& cC50(iV16459)
& cC34(iV16459)
& cowlThing(iV16460)
& cC38(iV16460)
& cC44(iV16461)
& cowlThing(iV16461)
& cC56(iV16461)
& cC42(iV16461)
& cowlThing(iV16462)
& cC38(iV16462)
& cC62(iV16463)
& cowlThing(iV16463)
& cC76(iV16463)
& cC60(iV16463)
& cC44(iV16464)
& cowlThing(iV16464)
& cC56(iV16464)
& cC42(iV16464)
& cowlThing(iV16465)
& cC38(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(esk30_0)
| xsd_integer(esk30_0)
| ~ cowlThing(esk29_0)
| cowlNothing(esk29_0)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cC130(iV16439)
| ~ cowlThing(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC80(iV16440)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC76(iV16453)
| ~ cC60(iV16453)
| ~ cC44(iV16455)
| ~ cowlThing(iV16455)
| ~ cC56(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cC34(iV16459)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC76(iV16463)
| ~ cC60(iV16463)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cowlThing(iV16465)
| ~ cC38(iV16465) )
& ( xsd_string(esk30_0)
| ~ xsd_integer(esk30_0)
| ~ cowlThing(esk29_0)
| cowlNothing(esk29_0)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cC130(iV16439)
| ~ cowlThing(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC80(iV16440)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC76(iV16453)
| ~ cC60(iV16453)
| ~ cC44(iV16455)
| ~ cowlThing(iV16455)
| ~ cC56(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cC34(iV16459)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC76(iV16463)
| ~ cC60(iV16463)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cowlThing(iV16465)
| ~ cC38(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,
! [X134] :
( cowlThing(X134)
& ~ cowlNothing(X134) ),
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]) ).
fof(c_0_63,plain,
! [X1] :
( cC106(X1)
<=> ( ~ cC100(X1)
& cC104(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_5]) ).
fof(c_0_64,plain,
! [X1] :
( cC44(X1)
<=> ( ~ cC40(X1)
& cC42(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_30]) ).
fof(c_0_65,plain,
! [X1] :
( cC56(X1)
<=> ( cC44(X1)
& ~ cC54(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_36]) ).
fof(c_0_66,plain,
! [X1] :
( cC62(X1)
<=> ( cC60(X1)
& ~ cC58(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_40]) ).
fof(c_0_67,plain,
! [X1] :
( cC76(X1)
<=> ( ~ cC74(X1)
& cC62(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_47]) ).
fof(c_0_68,plain,
! [X1] :
( cC82(X1)
<=> ( ~ cC78(X1)
& cC80(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_50]) ).
fof(c_0_69,plain,
! [X1] :
( cC98(X1)
<=> ( ~ cC96(X1)
& cC82(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
cnf(c_0_70,negated_conjecture,
( xsd_integer(esk30_0)
| cowlNothing(esk29_0)
| ~ xsd_string(esk30_0)
| ~ cowlThing(esk29_0)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cC130(iV16439)
| ~ cowlThing(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC80(iV16440)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC76(iV16453)
| ~ cC60(iV16453)
| ~ cC44(iV16455)
| ~ cowlThing(iV16455)
| ~ cC56(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cC34(iV16459)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC76(iV16463)
| ~ cC60(iV16463)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cowlThing(iV16465)
| ~ cC38(iV16465) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_72,plain,
! [X135] :
( ( ~ xsd_string(X135)
| ~ xsd_integer(X135) )
& ( xsd_integer(X135)
| xsd_string(X135) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_73,plain,
! [X145] :
( ( ~ cC100(X145)
| ~ cC106(X145) )
& ( cC104(X145)
| ~ cC106(X145) )
& ( cC100(X145)
| ~ cC104(X145)
| cC106(X145) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_74,plain,
! [X146] :
( ( cC28(X146)
| ~ cC108(X146) )
& ( cC106(X146)
| ~ cC108(X146) )
& ( ~ cC28(X146)
| ~ cC106(X146)
| cC108(X146) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_75,plain,
! [X209] :
( ( ~ cC40(X209)
| ~ cC44(X209) )
& ( cC42(X209)
| ~ cC44(X209) )
& ( cC40(X209)
| ~ cC42(X209)
| cC44(X209) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_76,plain,
! [X221] :
( ( cC44(X221)
| ~ cC56(X221) )
& ( ~ cC54(X221)
| ~ cC56(X221) )
& ( ~ cC44(X221)
| cC54(X221)
| cC56(X221) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).
fof(c_0_77,plain,
! [X231] :
( ( cC60(X231)
| ~ cC62(X231) )
& ( ~ cC58(X231)
| ~ cC62(X231) )
& ( ~ cC60(X231)
| cC58(X231)
| cC62(X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_78,plain,
! [X247] :
( ( ~ cC74(X247)
| ~ cC76(X247) )
& ( cC62(X247)
| ~ cC76(X247) )
& ( cC74(X247)
| ~ cC62(X247)
| cC76(X247) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_79,plain,
! [X256] :
( ( ~ cC78(X256)
| ~ cC82(X256) )
& ( cC80(X256)
| ~ cC82(X256) )
& ( cC78(X256)
| ~ cC80(X256)
| cC82(X256) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
fof(c_0_80,plain,
! [X276] :
( ( ~ cC96(X276)
| ~ cC98(X276) )
& ( cC82(X276)
| ~ cC98(X276) )
& ( cC96(X276)
| ~ cC82(X276)
| cC98(X276) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).
fof(c_0_81,plain,
! [X277] :
( ( cC108(X277)
| ~ cTEST(X277) )
& ( cC130(X277)
| ~ cTEST(X277) )
& ( ~ cC108(X277)
| ~ cC130(X277)
| cTEST(X277) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_59])])]) ).
cnf(c_0_82,negated_conjecture,
( xsd_string(esk30_0)
| cowlNothing(esk29_0)
| ~ xsd_integer(esk30_0)
| ~ cowlThing(esk29_0)
| ~ cC106(iV16439)
| ~ cC28(iV16439)
| ~ cC130(iV16439)
| ~ cowlThing(iV16439)
| ~ cC108(iV16439)
| ~ cC104(iV16439)
| ~ cC80(iV16440)
| ~ cowlThing(iV16440)
| ~ cC82(iV16440)
| ~ cC98(iV16440)
| ~ cowlThing(iV16448)
| ~ cC38(iV16448)
| ~ cC62(iV16453)
| ~ cowlThing(iV16453)
| ~ cC76(iV16453)
| ~ cC60(iV16453)
| ~ cC44(iV16455)
| ~ cowlThing(iV16455)
| ~ cC56(iV16455)
| ~ cC42(iV16455)
| ~ cowlThing(iV16457)
| ~ cC38(iV16457)
| ~ cC68(iV16459)
| ~ cowlThing(iV16459)
| ~ cC88(iV16459)
| ~ cC50(iV16459)
| ~ cC34(iV16459)
| ~ cowlThing(iV16460)
| ~ cC38(iV16460)
| ~ cC44(iV16461)
| ~ cowlThing(iV16461)
| ~ cC56(iV16461)
| ~ cC42(iV16461)
| ~ cowlThing(iV16462)
| ~ cC38(iV16462)
| ~ cC62(iV16463)
| ~ cowlThing(iV16463)
| ~ cC76(iV16463)
| ~ cC60(iV16463)
| ~ cC44(iV16464)
| ~ cowlThing(iV16464)
| ~ cC56(iV16464)
| ~ cC42(iV16464)
| ~ cowlThing(iV16465)
| ~ cC38(iV16465) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_83,negated_conjecture,
( cowlNothing(esk29_0)
| xsd_integer(esk30_0)
| ~ xsd_string(esk30_0)
| ~ cC98(iV16440)
| ~ 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) ),
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_70,c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71])]) ).
cnf(c_0_84,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_85,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_86,plain,
( cC104(X1)
| ~ cC106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_87,plain,
( cC106(X1)
| ~ cC108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,plain,
( cC28(X1)
| ~ cC108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,plain,
( cC42(X1)
| ~ cC44(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_90,plain,
( cC44(X1)
| ~ cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_91,plain,
( cC60(X1)
| ~ cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_92,plain,
( cC62(X1)
| ~ cC76(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_93,plain,
( cC80(X1)
| ~ cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_94,plain,
( cC82(X1)
| ~ cC98(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_95,plain,
( cC130(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_96,plain,
cTEST(iV16439),
inference(split_conjunct,[status(thm)],[axiom_61]) ).
cnf(c_0_97,plain,
( cC108(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_98,negated_conjecture,
( cowlNothing(esk29_0)
| xsd_string(esk30_0)
| ~ xsd_integer(esk30_0)
| ~ cC98(iV16440)
| ~ 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) ),
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_82,c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71])]) ).
cnf(c_0_99,negated_conjecture,
( xsd_integer(esk30_0)
| ~ 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)
| ~ cC98(iV16440) ),
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_83,c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_89]),c_0_89]),c_0_90]),c_0_90]),c_0_90]),c_0_91]),c_0_91]),c_0_92]),c_0_92]),c_0_93]),c_0_94]) ).
cnf(c_0_100,plain,
cC130(iV16439),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
cC108(iV16439),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
( xsd_string(esk30_0)
| ~ 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)
| ~ cC98(iV16440) ),
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_98,c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_89]),c_0_89]),c_0_90]),c_0_90]),c_0_90]),c_0_91]),c_0_91]),c_0_92]),c_0_92]),c_0_93]),c_0_94]) ).
fof(c_0_103,plain,
! [X1] :
( cC38(X1)
<=> ( ~ cC36(X1)
& cTOP(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_27]) ).
cnf(c_0_104,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_105,negated_conjecture,
( xsd_integer(esk30_0)
| ~ 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)
| ~ cC98(iV16440) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_106,negated_conjecture,
( xsd_string(esk30_0)
| ~ 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)
| ~ cC98(iV16440) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_100]),c_0_101])]) ).
fof(c_0_107,plain,
! [X278] :
( ~ rR1(iV16439,X278)
| cC98(X278) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_60])]) ).
fof(c_0_108,plain,
! [X200] :
( ( ~ cC36(X200)
| ~ cC38(X200) )
& ( cTOP(X200)
| ~ cC38(X200) )
& ( cC36(X200)
| ~ cTOP(X200)
| cC38(X200) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])]) ).
fof(c_0_109,plain,
~ cC36(iV16465),
inference(fof_simplification,[status(thm)],[axiom_195]) ).
fof(c_0_110,plain,
~ cC36(iV16448),
inference(fof_simplification,[status(thm)],[axiom_76]) ).
fof(c_0_111,plain,
~ cC36(iV16460),
inference(fof_simplification,[status(thm)],[axiom_137]) ).
fof(c_0_112,plain,
~ cC36(iV16457),
inference(fof_simplification,[status(thm)],[axiom_108]) ).
fof(c_0_113,plain,
~ cC36(iV16462),
inference(fof_simplification,[status(thm)],[axiom_161]) ).
fof(c_0_114,plain,
! [X1] :
( cC34(X1)
<=> ( ~ cC32(X1)
& ~ cC30(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_25]) ).
cnf(c_0_115,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)
| ~ cC98(iV16440) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_116,plain,
( cC98(X1)
| ~ rR1(iV16439,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_117,plain,
rR1(iV16439,iV16440),
inference(split_conjunct,[status(thm)],[axiom_64]) ).
cnf(c_0_118,plain,
( cC36(X1)
| cC38(X1)
| ~ cTOP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_119,plain,
cTOP(iV16465),
inference(split_conjunct,[status(thm)],[axiom_196]) ).
cnf(c_0_120,plain,
~ cC36(iV16465),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_121,plain,
cTOP(iV16448),
inference(split_conjunct,[status(thm)],[axiom_79]) ).
cnf(c_0_122,plain,
~ cC36(iV16448),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_123,plain,
cTOP(iV16460),
inference(split_conjunct,[status(thm)],[axiom_140]) ).
cnf(c_0_124,plain,
~ cC36(iV16460),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_125,plain,
cTOP(iV16457),
inference(split_conjunct,[status(thm)],[axiom_113]) ).
cnf(c_0_126,plain,
~ cC36(iV16457),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_127,plain,
cTOP(iV16462),
inference(split_conjunct,[status(thm)],[axiom_162]) ).
cnf(c_0_128,plain,
~ cC36(iV16462),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
fof(c_0_129,plain,
~ cC30(iV16459),
inference(fof_simplification,[status(thm)],[axiom_121]) ).
fof(c_0_130,plain,
! [X195] :
( ( ~ cC32(X195)
| ~ cC34(X195) )
& ( ~ cC30(X195)
| ~ cC34(X195) )
& ( cC32(X195)
| cC30(X195)
| cC34(X195) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])]) ).
fof(c_0_131,plain,
~ cC32(iV16459),
inference(fof_simplification,[status(thm)],[axiom_135]) ).
fof(c_0_132,plain,
! [X1] :
( cC50(X1)
<=> ( ~ cC46(X1)
& ~ cC48(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_33]) ).
fof(c_0_133,plain,
! [X1] :
( cC68(X1)
<=> ( ~ cC64(X1)
& ~ cC66(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_43]) ).
fof(c_0_134,plain,
! [X1] :
( cC42(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC8(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_29]) ).
cnf(c_0_135,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_115,c_0_116]),c_0_117])]) ).
cnf(c_0_136,plain,
cC38(iV16465),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_137,plain,
cC38(iV16448),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_121]),c_0_122]) ).
cnf(c_0_138,plain,
cC38(iV16460),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_123]),c_0_124]) ).
cnf(c_0_139,plain,
cC38(iV16457),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_125]),c_0_126]) ).
cnf(c_0_140,plain,
cC38(iV16462),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_127]),c_0_128]) ).
cnf(c_0_141,plain,
~ cC30(iV16459),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_142,plain,
( cC32(X1)
| cC30(X1)
| cC34(X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_143,plain,
~ cC32(iV16459),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
fof(c_0_144,plain,
~ cC46(iV16459),
inference(fof_simplification,[status(thm)],[axiom_124]) ).
fof(c_0_145,plain,
! [X212] :
( ( ~ cC46(X212)
| ~ cC50(X212) )
& ( ~ cC48(X212)
| ~ cC50(X212) )
& ( cC46(X212)
| cC48(X212)
| cC50(X212) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])]) ).
fof(c_0_146,plain,
~ cC48(iV16459),
inference(fof_simplification,[status(thm)],[axiom_120]) ).
fof(c_0_147,plain,
~ cC64(iV16459),
inference(fof_simplification,[status(thm)],[axiom_133]) ).
fof(c_0_148,plain,
! [X234] :
( ( ~ cC64(X234)
| ~ cC68(X234) )
& ( ~ cC66(X234)
| ~ cC68(X234) )
& ( cC64(X234)
| cC66(X234)
| cC68(X234) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])]) ).
fof(c_0_149,plain,
~ cC66(iV16459),
inference(fof_simplification,[status(thm)],[axiom_127]) ).
fof(c_0_150,plain,
! [X1] :
( cC88(X1)
<=> ( ~ cC84(X1)
& ~ cC86(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_53]) ).
fof(c_0_151,plain,
! [X205,X207,X208] :
( ( rR1(X205,esk15_1(X205))
| ~ cC42(X205) )
& ( ~ cC8(esk15_1(X205))
| ~ cC42(X205) )
& ( ~ rR1(X207,X208)
| cC8(X208)
| cC42(X207) ) ),
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)],[c_0_134])])])])])]) ).
fof(c_0_152,plain,
~ cC8(iV16465),
inference(fof_simplification,[status(thm)],[axiom_194]) ).
fof(c_0_153,plain,
~ cC8(iV16462),
inference(fof_simplification,[status(thm)],[axiom_159]) ).
fof(c_0_154,plain,
~ cC8(iV16460),
inference(fof_simplification,[status(thm)],[axiom_141]) ).
fof(c_0_155,plain,
! [X1] :
( cC60(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC12(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_39]) ).
cnf(c_0_156,negated_conjecture,
( ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459)
| ~ cC34(iV16459) ),
inference(cn,[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_135,c_0_136])]),c_0_137]),c_0_138]),c_0_139]),c_0_140])]) ).
cnf(c_0_157,plain,
cC34(iV16459),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_158,plain,
~ cC46(iV16459),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_159,plain,
( cC46(X1)
| cC48(X1)
| cC50(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_160,plain,
~ cC48(iV16459),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_161,plain,
~ cC64(iV16459),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_162,plain,
( cC64(X1)
| cC66(X1)
| cC68(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_163,plain,
~ cC66(iV16459),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
fof(c_0_164,plain,
~ cC84(iV16459),
inference(fof_simplification,[status(thm)],[axiom_132]) ).
fof(c_0_165,plain,
! [X259] :
( ( ~ cC84(X259)
| ~ cC88(X259) )
& ( ~ cC86(X259)
| ~ cC88(X259) )
& ( cC84(X259)
| cC86(X259)
| cC88(X259) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_150])])]) ).
fof(c_0_166,plain,
~ cC86(iV16459),
inference(fof_simplification,[status(thm)],[axiom_123]) ).
cnf(c_0_167,plain,
( cC8(X2)
| cC42(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_168,plain,
rR1(iV16464,iV16465),
inference(split_conjunct,[status(thm)],[axiom_188]) ).
cnf(c_0_169,plain,
~ cC8(iV16465),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
fof(c_0_170,plain,
~ cC40(iV16464),
inference(fof_simplification,[status(thm)],[axiom_179]) ).
cnf(c_0_171,plain,
rR1(iV16461,iV16462),
inference(split_conjunct,[status(thm)],[axiom_157]) ).
cnf(c_0_172,plain,
~ cC8(iV16462),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
fof(c_0_173,plain,
~ cC40(iV16461),
inference(fof_simplification,[status(thm)],[axiom_147]) ).
cnf(c_0_174,plain,
rR1(iV16455,iV16460),
inference(split_conjunct,[status(thm)],[axiom_107]) ).
cnf(c_0_175,plain,
~ cC8(iV16460),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
fof(c_0_176,plain,
~ cC40(iV16455),
inference(fof_simplification,[status(thm)],[axiom_98]) ).
fof(c_0_177,plain,
! [X227,X229,X230] :
( ( rR1(X227,esk19_1(X227))
| ~ cC60(X227) )
& ( ~ cC12(esk19_1(X227))
| ~ cC60(X227) )
& ( ~ rR1(X229,X230)
| cC12(X230)
| cC60(X229) ) ),
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)],[c_0_155])])])])])]) ).
fof(c_0_178,plain,
~ cC12(iV16461),
inference(fof_simplification,[status(thm)],[axiom_151]) ).
cnf(c_0_179,negated_conjecture,
( ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC68(iV16459)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464)
| ~ cC50(iV16459) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]) ).
cnf(c_0_180,plain,
cC50(iV16459),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_181,plain,
cC68(iV16459),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_182,plain,
~ cC84(iV16459),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_183,plain,
( cC84(X1)
| cC86(X1)
| cC88(X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_184,plain,
~ cC86(iV16459),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_185,plain,
( cC40(X1)
| cC44(X1)
| ~ cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_186,plain,
cC42(iV16464),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_187,plain,
~ cC40(iV16464),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
fof(c_0_188,plain,
~ cC54(iV16464),
inference(fof_simplification,[status(thm)],[axiom_181]) ).
cnf(c_0_189,plain,
cC42(iV16461),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_171]),c_0_172]) ).
cnf(c_0_190,plain,
~ cC40(iV16461),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
fof(c_0_191,plain,
~ cC54(iV16461),
inference(fof_simplification,[status(thm)],[axiom_152]) ).
cnf(c_0_192,plain,
cC42(iV16455),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_174]),c_0_175]) ).
cnf(c_0_193,plain,
~ cC40(iV16455),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
fof(c_0_194,plain,
~ cC54(iV16455),
inference(fof_simplification,[status(thm)],[axiom_103]) ).
cnf(c_0_195,plain,
( cC12(X2)
| cC60(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_196,plain,
rR1(iV16453,iV16461),
inference(split_conjunct,[status(thm)],[axiom_96]) ).
cnf(c_0_197,plain,
~ cC12(iV16461),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
fof(c_0_198,plain,
~ cC58(iV16453),
inference(fof_simplification,[status(thm)],[axiom_91]) ).
cnf(c_0_199,negated_conjecture,
( ~ cC88(iV16459)
| ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180])]),c_0_181])]) ).
cnf(c_0_200,plain,
cC88(iV16459),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_201,plain,
( cC54(X1)
| cC56(X1)
| ~ cC44(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_202,plain,
cC44(iV16464),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]) ).
cnf(c_0_203,plain,
~ cC54(iV16464),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_204,plain,
cC44(iV16461),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_189]),c_0_190]) ).
cnf(c_0_205,plain,
~ cC54(iV16461),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_206,plain,
cC44(iV16455),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_192]),c_0_193]) ).
cnf(c_0_207,plain,
~ cC54(iV16455),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_208,plain,
( cC58(X1)
| cC62(X1)
| ~ cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_209,plain,
cC60(iV16453),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]) ).
cnf(c_0_210,plain,
~ cC58(iV16453),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
fof(c_0_211,plain,
~ cC74(iV16453),
inference(fof_simplification,[status(thm)],[axiom_92]) ).
cnf(c_0_212,negated_conjecture,
( ~ cC76(iV16463)
| ~ cC76(iV16453)
| ~ cC56(iV16461)
| ~ cC56(iV16455)
| ~ cC56(iV16464) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).
cnf(c_0_213,plain,
cC56(iV16464),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).
cnf(c_0_214,plain,
cC56(iV16461),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_204]),c_0_205]) ).
cnf(c_0_215,plain,
cC56(iV16455),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_206]),c_0_207]) ).
cnf(c_0_216,plain,
( cC74(X1)
| cC76(X1)
| ~ cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_217,plain,
cC62(iV16453),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]) ).
cnf(c_0_218,plain,
~ cC74(iV16453),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_219,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_212,c_0_213])]),c_0_214]),c_0_215])]) ).
cnf(c_0_220,plain,
cC76(iV16453),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
fof(c_0_221,plain,
! [X279] :
( ~ rR1(iV16440,X279)
| cC76(X279) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_67])]) ).
cnf(c_0_222,negated_conjecture,
~ cC76(iV16463),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220])]) ).
cnf(c_0_223,plain,
( cC76(X1)
| ~ rR1(iV16440,X1) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_224,plain,
rR1(iV16440,iV16463),
inference(split_conjunct,[status(thm)],[axiom_73]) ).
cnf(c_0_225,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS153+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n017.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:37:12 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.45/1.76 % Version : CSE_E---1.7
% 1.45/1.76 % Problem : theBenchmark.p
% 1.45/1.76 % SZS status Theorem for theBenchmark.p
% 1.45/1.76 % SZS output start CNFRefutation
% See solution above
% 1.45/1.76 % Total time : 1.372s
%------------------------------------------------------------------------------