%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS151+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:01:02 PM UTC 2026
% Result : Theorem 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 43
% Syntax : Number of formulae : 196 ( 51 unt; 0 def)
% Number of atoms : 1012 ( 0 equ)
% Maximal formula atoms : 108 ( 5 avg)
% Number of connectives : 1404 ( 588 ~; 514 |; 259 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 64 ( 63 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 132 ( 2 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( cC72(iV21030)
& cC66(iV21030)
& cowlThing(iV21030)
& cC44(iV21029)
& cC50(iV21029)
& cowlThing(iV21029)
& cC24(iV21027)
& cC30(iV21027)
& cowlThing(iV21027)
& cC90(iV21026)
& cC14(iV21026)
& cC108(iV21026)
& cC4(iV21026)
& cC138(iV21026)
& cC82(iV21026)
& cC116(iV21026)
& cC110(iV21026)
& cC64(iV21026)
& cC114(iV21026)
& cC180(iV21026)
& cC112(iV21026)
& cC136(iV21026)
& cC8(iV21026)
& cC80(iV21026)
& cC154(iV21026)
& cC62(iV21026)
& cC130(iV21026)
& cC132(iV21026)
& cC40(iV21026)
& cC152(iV21026)
& cC58(iV21026)
& cC78(iV21026)
& cC56(iV21026)
& cC168(iV21026)
& cC22(iV21026)
& cC134(iV21026)
& cC10(iV21026)
& cC158(iV21026)
& cC38(iV21026)
& cC60(iV21026)
& cC156(iV21026)
& cC20(iV21026)
& cC174(iV21026)
& cC86(iV21026)
& cC88(iV21026)
& cC42(iV21026)
& cC36(iV21026)
& cC16(iV21026)
& cC84(iV21026)
& cowlThing(iV21026)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(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_41,axiom,
! [X1] :
( cC174(X1)
<=> ( ~ cC172(X1)
& cC168(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(axiom_44,axiom,
! [X1] :
( cC180(X1)
<=> ( cC174(X1)
& ~ cC178(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_33,axiom,
! [X1] :
( cC16(X1)
<=> ( cC10(X1)
& cC14(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
fof(axiom_7,axiom,
! [X1] :
( cC110(X1)
<=> ( cTOP(X1)
& cC108(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X1] :
( cC112(X1)
<=> ( cC110(X1)
& cC90(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_10,axiom,
! [X1] :
( cC116(X1)
<=> ( cC112(X1)
& cC114(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_82,axiom,
! [X1] :
( cC90(X1)
<=> ( cC86(X1)
& cC88(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_19,axiom,
! [X1] :
( cC134(X1)
<=> ( cC116(X1)
& cC132(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_18,axiom,
! [X1] :
( cC132(X1)
<=> ( cC130(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_21,axiom,
! [X1] :
( cC138(X1)
<=> ( cC134(X1)
& cC136(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_31,axiom,
! [X1] :
( cC156(X1)
<=> ( cC138(X1)
& cC154(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(axiom_30,axiom,
! [X1] :
( cC154(X1)
<=> ( cC152(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(axiom_32,axiom,
! [X1] :
( cC158(X1)
<=> ( cC156(X1)
& cC22(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(axiom_54,axiom,
! [X1] :
( cC38(X1)
<=> ( cTOP(X1)
& cC36(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(axiom_57,axiom,
! [X1] :
( cC42(X1)
<=> ( cC38(X1)
& cC40(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_66,axiom,
! [X1] :
( cC60(X1)
<=> ( cC42(X1)
& cC58(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
fof(axiom_65,axiom,
! [X1] :
( cC58(X1)
<=> ( cTOP(X1)
& cC56(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_68,axiom,
! [X1] :
( cC64(X1)
<=> ( cC60(X1)
& cC62(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
fof(axiom_78,axiom,
! [X1] :
( cC82(X1)
<=> ( cC64(X1)
& cC80(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(axiom_77,axiom,
! [X1] :
( cC80(X1)
<=> ( cC78(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(axiom_80,axiom,
! [X1] :
( cC86(X1)
<=> ( cC84(X1)
& cC82(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(axiom_46,axiom,
! [X1] :
( cC22(X1)
<=> ( cC20(X1)
& cC16(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(axiom_86,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC180(X1)
& cC158(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
fof(axiom_89,axiom,
cTEST(iV21026),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC4(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_51,axiom,
! [X1] :
( cC32(X1)
<=> ( ~ cC30(X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(axiom_136,axiom,
~ cC32(iV21027),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_136) ).
fof(axiom_150,axiom,
~ cC2(iV21027),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_150) ).
fof(axiom_48,axiom,
! [X1] :
( cC26(X1)
<=> ( ~ cC2(X1)
& ~ cC24(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(axiom_126,axiom,
~ cC26(iV21027),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).
fof(axiom_73,axiom,
! [X1] :
( cC74(X1)
<=> ( ~ cC72(X1)
& ~ cC18(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
fof(axiom_192,axiom,
~ cC74(iV21030),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_192) ).
fof(axiom_202,axiom,
~ cC18(iV21030),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).
fof(axiom_70,axiom,
! [X1] :
( cC68(X1)
<=> ( ~ cC18(X1)
& ~ cC66(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(axiom_191,axiom,
~ cC68(iV21030),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_191) ).
fof(axiom_62,axiom,
! [X1] :
( cC52(X1)
<=> ( ~ cC50(X1)
& ~ cC12(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(axiom_168,axiom,
~ cC52(iV21029),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_168) ).
fof(axiom_163,axiom,
~ cC12(iV21029),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_163) ).
fof(axiom_59,axiom,
! [X1] :
( cC46(X1)
<=> ( ~ cC44(X1)
& ~ cC12(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(axiom_157,axiom,
~ cC46(iV21029),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_157) ).
fof(c_0_43,negated_conjecture,
~ ( cC72(iV21030)
& cC66(iV21030)
& cowlThing(iV21030)
& cC44(iV21029)
& cC50(iV21029)
& cowlThing(iV21029)
& cC24(iV21027)
& cC30(iV21027)
& cowlThing(iV21027)
& cC90(iV21026)
& cC14(iV21026)
& cC108(iV21026)
& cC4(iV21026)
& cC138(iV21026)
& cC82(iV21026)
& cC116(iV21026)
& cC110(iV21026)
& cC64(iV21026)
& cC114(iV21026)
& cC180(iV21026)
& cC112(iV21026)
& cC136(iV21026)
& cC8(iV21026)
& cC80(iV21026)
& cC154(iV21026)
& cC62(iV21026)
& cC130(iV21026)
& cC132(iV21026)
& cC40(iV21026)
& cC152(iV21026)
& cC58(iV21026)
& cC78(iV21026)
& cC56(iV21026)
& cC168(iV21026)
& cC22(iV21026)
& cC134(iV21026)
& cC10(iV21026)
& cC158(iV21026)
& cC38(iV21026)
& cC60(iV21026)
& cC156(iV21026)
& cC20(iV21026)
& cC174(iV21026)
& cC86(iV21026)
& cC88(iV21026)
& cC42(iV21026)
& cC36(iV21026)
& cC16(iV21026)
& cC84(iV21026)
& cowlThing(iV21026)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_44,negated_conjecture,
~ ( cC72(iV21030)
& cC66(iV21030)
& cowlThing(iV21030)
& cC44(iV21029)
& cC50(iV21029)
& cowlThing(iV21029)
& cC24(iV21027)
& cC30(iV21027)
& cowlThing(iV21027)
& cC90(iV21026)
& cC14(iV21026)
& cC108(iV21026)
& cC4(iV21026)
& cC138(iV21026)
& cC82(iV21026)
& cC116(iV21026)
& cC110(iV21026)
& cC64(iV21026)
& cC114(iV21026)
& cC180(iV21026)
& cC112(iV21026)
& cC136(iV21026)
& cC8(iV21026)
& cC80(iV21026)
& cC154(iV21026)
& cC62(iV21026)
& cC130(iV21026)
& cC132(iV21026)
& cC40(iV21026)
& cC152(iV21026)
& cC58(iV21026)
& cC78(iV21026)
& cC56(iV21026)
& cC168(iV21026)
& cC22(iV21026)
& cC134(iV21026)
& cC10(iV21026)
& cC158(iV21026)
& cC38(iV21026)
& cC60(iV21026)
& cC156(iV21026)
& cC20(iV21026)
& cC174(iV21026)
& cC86(iV21026)
& cC88(iV21026)
& cC42(iV21026)
& cC36(iV21026)
& cC16(iV21026)
& cC84(iV21026)
& cowlThing(iV21026)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_45,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_46,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_47,plain,
! [X1] :
( cC174(X1)
<=> ( ~ cC172(X1)
& cC168(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_41]) ).
fof(c_0_48,plain,
! [X1] :
( cC180(X1)
<=> ( cC174(X1)
& ~ cC178(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_44]) ).
fof(c_0_49,negated_conjecture,
( ( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cowlThing(iV21030)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cowlThing(iV21029)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cowlThing(iV21027)
| ~ cC90(iV21026)
| ~ cC14(iV21026)
| ~ cC108(iV21026)
| ~ cC4(iV21026)
| ~ cC138(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC110(iV21026)
| ~ cC64(iV21026)
| ~ cC114(iV21026)
| ~ cC180(iV21026)
| ~ cC112(iV21026)
| ~ cC136(iV21026)
| ~ cC8(iV21026)
| ~ cC80(iV21026)
| ~ cC154(iV21026)
| ~ cC62(iV21026)
| ~ cC130(iV21026)
| ~ cC132(iV21026)
| ~ cC40(iV21026)
| ~ cC152(iV21026)
| ~ cC58(iV21026)
| ~ cC78(iV21026)
| ~ cC56(iV21026)
| ~ cC168(iV21026)
| ~ cC22(iV21026)
| ~ cC134(iV21026)
| ~ cC10(iV21026)
| ~ cC158(iV21026)
| ~ cC38(iV21026)
| ~ cC60(iV21026)
| ~ cC156(iV21026)
| ~ cC20(iV21026)
| ~ cC174(iV21026)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| ~ cC42(iV21026)
| ~ cC36(iV21026)
| ~ cC16(iV21026)
| ~ cC84(iV21026)
| ~ cowlThing(iV21026)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0) )
& ( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cowlThing(iV21030)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cowlThing(iV21029)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cowlThing(iV21027)
| ~ cC90(iV21026)
| ~ cC14(iV21026)
| ~ cC108(iV21026)
| ~ cC4(iV21026)
| ~ cC138(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC110(iV21026)
| ~ cC64(iV21026)
| ~ cC114(iV21026)
| ~ cC180(iV21026)
| ~ cC112(iV21026)
| ~ cC136(iV21026)
| ~ cC8(iV21026)
| ~ cC80(iV21026)
| ~ cC154(iV21026)
| ~ cC62(iV21026)
| ~ cC130(iV21026)
| ~ cC132(iV21026)
| ~ cC40(iV21026)
| ~ cC152(iV21026)
| ~ cC58(iV21026)
| ~ cC78(iV21026)
| ~ cC56(iV21026)
| ~ cC168(iV21026)
| ~ cC22(iV21026)
| ~ cC134(iV21026)
| ~ cC10(iV21026)
| ~ cC158(iV21026)
| ~ cC38(iV21026)
| ~ cC60(iV21026)
| ~ cC156(iV21026)
| ~ cC20(iV21026)
| ~ cC174(iV21026)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| ~ cC42(iV21026)
| ~ cC36(iV21026)
| ~ cC16(iV21026)
| ~ cC84(iV21026)
| ~ cowlThing(iV21026)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_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_44])])])])]) ).
fof(c_0_50,plain,
! [X89] :
( ~ cowlNothing(X89)
& cowlThing(X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
fof(c_0_51,plain,
! [X88] :
( ( xsd_string(X88)
| xsd_integer(X88) )
& ( ~ xsd_integer(X88)
| ~ xsd_string(X88) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_52,plain,
! [X41] :
( ( cC16(X41)
| ~ cC10(X41)
| ~ cC14(X41) )
& ( ~ cC16(X41)
| cC10(X41) )
& ( ~ cC16(X41)
| cC14(X41) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_33])])])]) ).
fof(c_0_53,plain,
! [X43] :
( ( cC110(X43)
| ~ cTOP(X43)
| ~ cC108(X43) )
& ( ~ cC110(X43)
| cTOP(X43) )
& ( ~ cC110(X43)
| cC108(X43) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])])]) ).
fof(c_0_54,plain,
! [X35] :
( ( cC112(X35)
| ~ cC110(X35)
| ~ cC90(X35) )
& ( ~ cC112(X35)
| cC110(X35) )
& ( ~ cC112(X35)
| cC90(X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])])]) ).
fof(c_0_55,plain,
! [X53] :
( ( cC116(X53)
| ~ cC112(X53)
| ~ cC114(X53) )
& ( ~ cC116(X53)
| cC112(X53) )
& ( ~ cC116(X53)
| cC114(X53) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])])]) ).
fof(c_0_56,plain,
! [X36] :
( ( cC90(X36)
| ~ cC86(X36)
| ~ cC88(X36) )
& ( ~ cC90(X36)
| cC86(X36) )
& ( ~ cC90(X36)
| cC88(X36) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_82])])])]) ).
fof(c_0_57,plain,
! [X54] :
( ( cC134(X54)
| ~ cC116(X54)
| ~ cC132(X54) )
& ( ~ cC134(X54)
| cC116(X54) )
& ( ~ cC134(X54)
| cC132(X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_19])])])]) ).
fof(c_0_58,plain,
! [X68] :
( ( cC132(X68)
| ~ cC130(X68)
| ~ cTOP(X68) )
& ( ~ cC132(X68)
| cC130(X68) )
& ( ~ cC132(X68)
| cTOP(X68) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])])])]) ).
fof(c_0_59,plain,
! [X49] :
( ( cC138(X49)
| ~ cC134(X49)
| ~ cC136(X49) )
& ( ~ cC138(X49)
| cC134(X49) )
& ( ~ cC138(X49)
| cC136(X49) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_21])])])]) ).
fof(c_0_60,plain,
! [X50] :
( ( cC156(X50)
| ~ cC138(X50)
| ~ cC154(X50) )
& ( ~ cC156(X50)
| cC138(X50) )
& ( ~ cC156(X50)
| cC154(X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_31])])])]) ).
fof(c_0_61,plain,
! [X65] :
( ( cC154(X65)
| ~ cC152(X65)
| ~ cTOP(X65) )
& ( ~ cC154(X65)
| cC152(X65) )
& ( ~ cC154(X65)
| cTOP(X65) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_30])])])]) ).
fof(c_0_62,plain,
! [X78] :
( ( cC158(X78)
| ~ cC156(X78)
| ~ cC22(X78) )
& ( ~ cC158(X78)
| cC156(X78) )
& ( ~ cC158(X78)
| cC22(X78) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_32])])])]) ).
fof(c_0_63,plain,
! [X77] :
( ( cC174(X77)
| cC172(X77)
| ~ cC168(X77) )
& ( ~ cC174(X77)
| ~ cC172(X77) )
& ( ~ cC174(X77)
| cC168(X77) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_64,plain,
! [X57] :
( ( cC180(X57)
| ~ cC174(X57)
| cC178(X57) )
& ( ~ cC180(X57)
| cC174(X57) )
& ( ~ cC180(X57)
| ~ cC178(X57) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
fof(c_0_65,plain,
! [X80] :
( ( cC38(X80)
| ~ cTOP(X80)
| ~ cC36(X80) )
& ( ~ cC38(X80)
| cTOP(X80) )
& ( ~ cC38(X80)
| cC36(X80) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_54])])])]) ).
fof(c_0_66,plain,
! [X70] :
( ( cC42(X70)
| ~ cC38(X70)
| ~ cC40(X70) )
& ( ~ cC42(X70)
| cC38(X70) )
& ( ~ cC42(X70)
| cC40(X70) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])])])]) ).
fof(c_0_67,plain,
! [X73] :
( ( cC60(X73)
| ~ cC42(X73)
| ~ cC58(X73) )
& ( ~ cC60(X73)
| cC42(X73) )
& ( ~ cC60(X73)
| cC58(X73) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_66])])])]) ).
fof(c_0_68,plain,
! [X72] :
( ( cC58(X72)
| ~ cTOP(X72)
| ~ cC56(X72) )
& ( ~ cC58(X72)
| cTOP(X72) )
& ( ~ cC58(X72)
| cC56(X72) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_65])])])]) ).
fof(c_0_69,plain,
! [X55] :
( ( cC64(X55)
| ~ cC60(X55)
| ~ cC62(X55) )
& ( ~ cC64(X55)
| cC60(X55) )
& ( ~ cC64(X55)
| cC62(X55) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_68])])])]) ).
fof(c_0_70,plain,
! [X51] :
( ( cC82(X51)
| ~ cC64(X51)
| ~ cC80(X51) )
& ( ~ cC82(X51)
| cC64(X51) )
& ( ~ cC82(X51)
| cC80(X51) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_78])])])]) ).
fof(c_0_71,plain,
! [X64] :
( ( cC80(X64)
| ~ cC78(X64)
| ~ cTOP(X64) )
& ( ~ cC80(X64)
| cC78(X64) )
& ( ~ cC80(X64)
| cTOP(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_77])])])]) ).
fof(c_0_72,plain,
! [X52] :
( ( cC86(X52)
| ~ cC84(X52)
| ~ cC82(X52) )
& ( ~ cC86(X52)
| cC84(X52) )
& ( ~ cC86(X52)
| cC82(X52) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])])]) ).
fof(c_0_73,plain,
! [X79] :
( ( cC22(X79)
| ~ cC20(X79)
| ~ cC16(X79) )
& ( ~ cC22(X79)
| cC20(X79) )
& ( ~ cC22(X79)
| cC16(X79) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])]) ).
fof(c_0_74,plain,
! [X58] :
( ( cTEST(X58)
| ~ cC180(X58)
| ~ cC158(X58) )
& ( ~ cTEST(X58)
| cC180(X58) )
& ( ~ cTEST(X58)
| cC158(X58) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_86])])])]) ).
cnf(c_0_75,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cowlThing(iV21030)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cowlThing(iV21029)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cowlThing(iV21027)
| ~ cC90(iV21026)
| ~ cC14(iV21026)
| ~ cC108(iV21026)
| ~ cC4(iV21026)
| ~ cC138(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC110(iV21026)
| ~ cC64(iV21026)
| ~ cC114(iV21026)
| ~ cC180(iV21026)
| ~ cC112(iV21026)
| ~ cC136(iV21026)
| ~ cC8(iV21026)
| ~ cC80(iV21026)
| ~ cC154(iV21026)
| ~ cC62(iV21026)
| ~ cC130(iV21026)
| ~ cC132(iV21026)
| ~ cC40(iV21026)
| ~ cC152(iV21026)
| ~ cC58(iV21026)
| ~ cC78(iV21026)
| ~ cC56(iV21026)
| ~ cC168(iV21026)
| ~ cC22(iV21026)
| ~ cC134(iV21026)
| ~ cC10(iV21026)
| ~ cC158(iV21026)
| ~ cC38(iV21026)
| ~ cC60(iV21026)
| ~ cC156(iV21026)
| ~ cC20(iV21026)
| ~ cC174(iV21026)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| ~ cC42(iV21026)
| ~ cC36(iV21026)
| ~ cC16(iV21026)
| ~ cC84(iV21026)
| ~ cowlThing(iV21026)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_76,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_78,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_79,plain,
( ~ cC16(X1)
| cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_80,plain,
( ~ cC110(X1)
| cC108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_81,plain,
( ~ cC112(X1)
| cC110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82,plain,
( ~ cC116(X1)
| cC112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_83,plain,
( ~ cC86(X1)
| ~ cC88(X1)
| cC90(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_84,plain,
( ~ cC116(X1)
| cC114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85,plain,
( ~ cC134(X1)
| cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_86,plain,
( ~ cC132(X1)
| cC130(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_87,plain,
( ~ cC134(X1)
| cC132(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_88,plain,
( ~ cC138(X1)
| cC134(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_89,plain,
( ~ cC138(X1)
| cC136(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_90,plain,
( ~ cC156(X1)
| cC138(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_91,plain,
( ~ cC16(X1)
| cC14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_92,plain,
( ~ cC154(X1)
| cC152(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_93,plain,
( ~ cC156(X1)
| cC154(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_94,plain,
( ~ cC158(X1)
| cC156(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_95,plain,
( ~ cC158(X1)
| cC22(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_96,plain,
( ~ cC174(X1)
| cC168(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_97,plain,
( ~ cC180(X1)
| cC174(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_98,plain,
( ~ cC38(X1)
| cC36(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_99,plain,
( ~ cC42(X1)
| cC38(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( ~ cC42(X1)
| cC40(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_101,plain,
( ~ cC60(X1)
| cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_102,plain,
( ~ cC58(X1)
| cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_103,plain,
( ~ cC60(X1)
| cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_104,plain,
( ~ cC64(X1)
| cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_105,plain,
( ~ cC64(X1)
| cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_106,plain,
( ~ cC82(X1)
| cC64(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_107,plain,
( ~ cC80(X1)
| cC78(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_108,plain,
( ~ cC82(X1)
| cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_109,plain,
( ~ cC86(X1)
| cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_110,plain,
( ~ cC86(X1)
| cC84(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_111,plain,
( ~ cC22(X1)
| cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_112,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cowlThing(iV21030)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cowlThing(iV21029)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cowlThing(iV21027)
| ~ cC90(iV21026)
| ~ cC14(iV21026)
| ~ cC108(iV21026)
| ~ cC4(iV21026)
| ~ cC138(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC110(iV21026)
| ~ cC64(iV21026)
| ~ cC114(iV21026)
| ~ cC180(iV21026)
| ~ cC112(iV21026)
| ~ cC136(iV21026)
| ~ cC8(iV21026)
| ~ cC80(iV21026)
| ~ cC154(iV21026)
| ~ cC62(iV21026)
| ~ cC130(iV21026)
| ~ cC132(iV21026)
| ~ cC40(iV21026)
| ~ cC152(iV21026)
| ~ cC58(iV21026)
| ~ cC78(iV21026)
| ~ cC56(iV21026)
| ~ cC168(iV21026)
| ~ cC22(iV21026)
| ~ cC134(iV21026)
| ~ cC10(iV21026)
| ~ cC158(iV21026)
| ~ cC38(iV21026)
| ~ cC60(iV21026)
| ~ cC156(iV21026)
| ~ cC20(iV21026)
| ~ cC174(iV21026)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| ~ cC42(iV21026)
| ~ cC36(iV21026)
| ~ cC16(iV21026)
| ~ cC84(iV21026)
| ~ cowlThing(iV21026)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_113,plain,
( ~ cTEST(X1)
| cC158(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_114,plain,
cTEST(iV21026),
inference(split_conjunct,[status(thm)],[axiom_89]) ).
cnf(c_0_115,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC158(iV21026)
| ~ cC16(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| xsd_integer(esk2_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(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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[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_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76])]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]),c_0_107]),c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_116,plain,
( ~ cC158(X1)
| cC16(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_95]) ).
cnf(c_0_117,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC158(iV21026)
| ~ cC16(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| xsd_string(esk2_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(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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_76]),c_0_76]),c_0_76]),c_0_76]),c_0_76])]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]),c_0_107]),c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_118,plain,
cC158(iV21026),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_120,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC158(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC158(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC86(iV21026)
| ~ cC88(iV21026)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[c_0_117,c_0_116]) ).
cnf(c_0_122,plain,
cC156(iV21026),
inference(spm,[status(thm)],[c_0_94,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC158(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC86(iV21026)
| ~ cC88(iV21026) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_124,plain,
( ~ cC90(X1)
| cC88(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_125,plain,
( ~ cC90(X1)
| cC86(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_126,plain,
cC138(iV21026),
inference(spm,[status(thm)],[c_0_90,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC90(iV21026)
| ~ cC158(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).
cnf(c_0_128,plain,
( ~ cC22(X1)
| cC20(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_129,plain,
( ~ cTEST(X1)
| cC180(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_130,plain,
cC134(iV21026),
inference(spm,[status(thm)],[c_0_88,c_0_126]) ).
cnf(c_0_131,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC90(iV21026)
| ~ cC158(iV21026)
| ~ cC180(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_95]) ).
cnf(c_0_132,plain,
cC180(iV21026),
inference(spm,[status(thm)],[c_0_129,c_0_114]) ).
cnf(c_0_133,plain,
cC116(iV21026),
inference(spm,[status(thm)],[c_0_85,c_0_130]) ).
cnf(c_0_134,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC90(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_118])]),c_0_132])]) ).
cnf(c_0_135,plain,
( ~ cC112(X1)
| cC90(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_136,plain,
cC112(iV21026),
inference(spm,[status(thm)],[c_0_82,c_0_133]) ).
fof(c_0_137,plain,
! [X44] :
( ( cC10(X44)
| ~ cC4(X44)
| ~ cC8(X44) )
& ( ~ cC10(X44)
| cC4(X44) )
& ( ~ cC10(X44)
| cC8(X44) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_138,plain,
cC16(iV21026),
inference(spm,[status(thm)],[c_0_116,c_0_118]) ).
cnf(c_0_139,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_140,plain,
( ~ cC10(X1)
| cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_141,plain,
cC10(iV21026),
inference(spm,[status(thm)],[c_0_79,c_0_138]) ).
fof(c_0_142,plain,
! [X1] :
( cC32(X1)
<=> ( ~ cC30(X1)
& ~ cC2(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_51]) ).
fof(c_0_143,plain,
~ cC32(iV21027),
inference(fof_simplification,[status(thm)],[axiom_136]) ).
fof(c_0_144,plain,
~ cC2(iV21027),
inference(fof_simplification,[status(thm)],[axiom_150]) ).
cnf(c_0_145,negated_conjecture,
( ~ cC8(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).
cnf(c_0_146,plain,
( ~ cC10(X1)
| cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
fof(c_0_147,plain,
! [X34] :
( ( cC32(X34)
| cC30(X34)
| cC2(X34) )
& ( ~ cC32(X34)
| ~ cC30(X34) )
& ( ~ cC32(X34)
| ~ cC2(X34) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])])])]) ).
fof(c_0_148,plain,
~ cC32(iV21027),
inference(fof_nnf,[status(thm)],[c_0_143]) ).
fof(c_0_149,plain,
~ cC2(iV21027),
inference(fof_nnf,[status(thm)],[c_0_144]) ).
fof(c_0_150,plain,
! [X1] :
( cC26(X1)
<=> ( ~ cC2(X1)
& ~ cC24(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_48]) ).
fof(c_0_151,plain,
~ cC26(iV21027),
inference(fof_simplification,[status(thm)],[axiom_126]) ).
cnf(c_0_152,negated_conjecture,
( ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_141])]) ).
cnf(c_0_153,plain,
( cC32(X1)
| cC30(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_154,plain,
~ cC32(iV21027),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_155,plain,
~ cC2(iV21027),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
fof(c_0_156,plain,
! [X29] :
( ( cC26(X29)
| cC2(X29)
| cC24(X29) )
& ( ~ cC26(X29)
| ~ cC2(X29) )
& ( ~ cC26(X29)
| ~ cC24(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_150])])])]) ).
fof(c_0_157,plain,
~ cC26(iV21027),
inference(fof_nnf,[status(thm)],[c_0_151]) ).
fof(c_0_158,plain,
! [X1] :
( cC74(X1)
<=> ( ~ cC72(X1)
& ~ cC18(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_73]) ).
fof(c_0_159,plain,
~ cC74(iV21030),
inference(fof_simplification,[status(thm)],[axiom_192]) ).
fof(c_0_160,plain,
~ cC18(iV21030),
inference(fof_simplification,[status(thm)],[axiom_202]) ).
cnf(c_0_161,negated_conjecture,
( ~ cC24(iV21027)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155]) ).
cnf(c_0_162,plain,
( cC26(X1)
| cC2(X1)
| cC24(X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_163,plain,
~ cC26(iV21027),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
fof(c_0_164,plain,
! [X9] :
( ( cC74(X9)
| cC72(X9)
| cC18(X9) )
& ( ~ cC74(X9)
| ~ cC72(X9) )
& ( ~ cC74(X9)
| ~ cC18(X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_158])])])]) ).
fof(c_0_165,plain,
~ cC74(iV21030),
inference(fof_nnf,[status(thm)],[c_0_159]) ).
fof(c_0_166,plain,
~ cC18(iV21030),
inference(fof_nnf,[status(thm)],[c_0_160]) ).
fof(c_0_167,plain,
! [X1] :
( cC68(X1)
<=> ( ~ cC18(X1)
& ~ cC66(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
fof(c_0_168,plain,
~ cC68(iV21030),
inference(fof_simplification,[status(thm)],[axiom_191]) ).
cnf(c_0_169,negated_conjecture,
( ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_155]) ).
cnf(c_0_170,plain,
( cC74(X1)
| cC72(X1)
| cC18(X1) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_171,plain,
~ cC74(iV21030),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_172,plain,
~ cC18(iV21030),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
fof(c_0_173,plain,
! [X14] :
( ( cC68(X14)
| cC18(X14)
| cC66(X14) )
& ( ~ cC68(X14)
| ~ cC18(X14) )
& ( ~ cC68(X14)
| ~ cC66(X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_167])])])]) ).
fof(c_0_174,plain,
~ cC68(iV21030),
inference(fof_nnf,[status(thm)],[c_0_168]) ).
fof(c_0_175,plain,
! [X1] :
( cC52(X1)
<=> ( ~ cC50(X1)
& ~ cC12(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_62]) ).
fof(c_0_176,plain,
~ cC52(iV21029),
inference(fof_simplification,[status(thm)],[axiom_168]) ).
fof(c_0_177,plain,
~ cC12(iV21029),
inference(fof_simplification,[status(thm)],[axiom_163]) ).
cnf(c_0_178,negated_conjecture,
( ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC66(iV21030) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]),c_0_172]) ).
cnf(c_0_179,plain,
( cC68(X1)
| cC18(X1)
| cC66(X1) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_180,plain,
~ cC68(iV21030),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
fof(c_0_181,plain,
! [X24] :
( ( cC52(X24)
| cC50(X24)
| cC12(X24) )
& ( ~ cC52(X24)
| ~ cC50(X24) )
& ( ~ cC52(X24)
| ~ cC12(X24) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_175])])])]) ).
fof(c_0_182,plain,
~ cC52(iV21029),
inference(fof_nnf,[status(thm)],[c_0_176]) ).
fof(c_0_183,plain,
~ cC12(iV21029),
inference(fof_nnf,[status(thm)],[c_0_177]) ).
fof(c_0_184,plain,
! [X1] :
( cC46(X1)
<=> ( ~ cC44(X1)
& ~ cC12(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_59]) ).
fof(c_0_185,plain,
~ cC46(iV21029),
inference(fof_simplification,[status(thm)],[axiom_157]) ).
cnf(c_0_186,negated_conjecture,
( ~ cC44(iV21029)
| ~ cC50(iV21029) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_172]) ).
cnf(c_0_187,plain,
( cC52(X1)
| cC50(X1)
| cC12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_188,plain,
~ cC52(iV21029),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_189,plain,
~ cC12(iV21029),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
fof(c_0_190,plain,
! [X19] :
( ( cC46(X19)
| cC44(X19)
| cC12(X19) )
& ( ~ cC46(X19)
| ~ cC44(X19) )
& ( ~ cC46(X19)
| ~ cC12(X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_184])])])]) ).
fof(c_0_191,plain,
~ cC46(iV21029),
inference(fof_nnf,[status(thm)],[c_0_185]) ).
cnf(c_0_192,negated_conjecture,
~ cC44(iV21029),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]),c_0_189]) ).
cnf(c_0_193,plain,
( cC46(X1)
| cC44(X1)
| cC12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_194,plain,
~ cC46(iV21029),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_195,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_189]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS151+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 22:57:00 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48 % Version: 3.5.1
% 0.13/0.48 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.13/0.48 % Starting new_bool_3 with 600s (2) cores
% 0.13/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.48 % Starting sh5l with 300s (1) cores
% 0.13/0.48 % new_bool_3 with pid 2804320 completed with status 0
% 0.13/0.48 % Result found by new_bool_3
% 0.13/0.48 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.13/0.48 % Starting new_bool_3 with 600s (2) cores
% 0.13/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.48 % Search class: FGHNF-FSLM11-SFFFFFNN
% 0.13/0.48 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.13/0.48 % Starting SubtermCWHack with 61s (1) cores
% 0.13/0.48 % Starting SAT001_MinMin_p005000_rr_RG with 350s (1) cores
% 0.13/0.48 % SAT001_MinMin_p005000_rr_RG with pid 2804325 completed with status 0
% 0.13/0.48 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.13/0.48 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.13/0.48 % Starting new_bool_3 with 600s (2) cores
% 0.13/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.48 % Search class: FGHNF-FSLM11-SFFFFFNN
% 0.13/0.48 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.13/0.48 % Starting SubtermCWHack with 61s (1) cores
% 0.13/0.48 % Starting SAT001_MinMin_p005000_rr_RG with 350s (1) cores
% 0.13/0.48 % Preprocessing time : 0.004 s
% 0.13/0.48 % Presaturation interreduction done
% 0.13/0.48
% 0.13/0.48 % Proof found!
% 0.13/0.48 % SZS status Theorem
% 0.13/0.48 % SZS output start CNFRefutation
% See solution above
% 0.13/0.48 % Parsed axioms : 243
% 0.13/0.48 % Removed by relevancy pruning/SinE : 63
% 0.13/0.48 % Initial clauses : 323
% 0.13/0.48 % Removed in clause preprocessing : 0
% 0.13/0.48 % Initial clauses in saturation : 323
% 0.13/0.48 % Processed clauses : 704
% 0.13/0.48 % ...of these trivial : 0
% 0.13/0.48 % ...subsumed : 14
% 0.13/0.48 % ...remaining for further processing : 690
% 0.13/0.48 % Other redundant clauses eliminated : 0
% 0.13/0.48 % Clauses deleted for lack of memory : 0
% 0.13/0.48 % Backward-subsumed : 15
% 0.13/0.48 % Backward-rewritten : 6
% 0.13/0.48 % Generated clauses : 206
% 0.13/0.48 % ...of the previous two non-redundant : 124
% 0.13/0.48 % ...aggressively subsumed : 0
% 0.13/0.48 % Contextual simplify-reflections : 76
% 0.13/0.48 % Paramodulations : 206
% 0.13/0.48 % Factorizations : 0
% 0.13/0.48 % NegExts : 0
% 0.13/0.48 % Equation resolutions : 0
% 0.13/0.48 % Disequality decompositions : 0
% 0.13/0.48 % Total rewrite steps : 37
% 0.13/0.48 % ...of those cached : 21
% 0.13/0.48 % Propositional unsat checks : 0
% 0.13/0.48 % Propositional check models : 0
% 0.13/0.48 % Propositional check unsatisfiable : 0
% 0.13/0.48 % Propositional clauses : 0
% 0.13/0.48 % Propositional clauses after purity: 0
% 0.13/0.48 % Propositional unsat core size : 0
% 0.13/0.48 % Propositional preprocessing time : 0.000
% 0.13/0.48 % Propositional encoding time : 0.000
% 0.13/0.48 % Propositional solver time : 0.000
% 0.13/0.48 % Success case prop preproc time : 0.000
% 0.13/0.48 % Success case prop encoding time : 0.000
% 0.13/0.48 % Success case prop solver time : 0.000
% 0.13/0.48 % Current number of processed clauses : 350
% 0.13/0.48 % Positive orientable unit clauses : 32
% 0.13/0.48 % Positive unorientable unit clauses: 0
% 0.13/0.48 % Negative unit clauses : 72
% 0.13/0.48 % Non-unit-clauses : 246
% 0.13/0.48 % Current number of unprocessed clauses: 62
% 0.13/0.48 % ...number of literals in the above : 159
% 0.13/0.48 % Current number of archived formulas : 0
% 0.13/0.48 % Current number of archived clauses : 340
% 0.13/0.48 % Clause-clause subsumption calls (NU) : 43012
% 0.13/0.48 % Rec. Clause-clause subsumption calls : 21384
% 0.13/0.48 % Non-unit clause-clause subsumptions : 101
% 0.13/0.48 % Unit Clause-clause subsumption calls : 725
% 0.13/0.48 % Rewrite failures with RHS unbound : 0
% 0.13/0.48 % BW rewrite match attempts : 5
% 0.13/0.48 % BW rewrite match successes : 5
% 0.13/0.48 % Condensation attempts : 0
% 0.13/0.48 % Condensation successes : 0
% 0.13/0.48 % Termbank termtop insertions : 21178
% 0.13/0.48 % Search garbage collected termcells : 3576
% 0.13/0.48
% 0.13/0.48 % -------------------------------------------------
% 0.13/0.48 % User time : 0.044 s
% 0.13/0.48 % System time : 0.011 s
% 0.13/0.48 % Total time : 0.055 s
% 0.13/0.48 % Maximum resident set size: 4600 pages
% 0.13/0.48
% 0.13/0.48 % -------------------------------------------------
% 0.13/0.48 % User time : 0.083 s
% 0.13/0.48 % System time : 0.024 s
% 0.13/0.48 % Total time : 0.107 s
% 0.13/0.48 % Maximum resident set size: 5120 pages
% 0.13/0.48 % E exiting
%------------------------------------------------------------------------------