%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS151+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 : n005.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 1.38s 1.75s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 43
% Syntax : Number of formulae : 188 ( 42 unt; 0 def)
% Number of atoms : 1047 ( 0 equ)
% Maximal formula atoms : 108 ( 5 avg)
% Number of connectives : 1529 ( 670 ~; 610 |; 207 &)
% ( 42 <=>; 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 : 130 ( 2 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iV21026)
& cC84(iV21026)
& cC16(iV21026)
& cC36(iV21026)
& cC42(iV21026)
& cC88(iV21026)
& cC86(iV21026)
& cC174(iV21026)
& cC20(iV21026)
& cC156(iV21026)
& cC60(iV21026)
& cC38(iV21026)
& cC158(iV21026)
& cC10(iV21026)
& cC134(iV21026)
& cC22(iV21026)
& cC168(iV21026)
& cC56(iV21026)
& cC78(iV21026)
& cC58(iV21026)
& cC152(iV21026)
& cC40(iV21026)
& cC132(iV21026)
& cC130(iV21026)
& cC62(iV21026)
& cC154(iV21026)
& cC80(iV21026)
& cC8(iV21026)
& cC136(iV21026)
& cC112(iV21026)
& cC180(iV21026)
& cC114(iV21026)
& cC64(iV21026)
& cC110(iV21026)
& cC116(iV21026)
& cC82(iV21026)
& cC138(iV21026)
& cC4(iV21026)
& cC108(iV21026)
& cC14(iV21026)
& cC90(iV21026)
& cowlThing(iV21027)
& cC30(iV21027)
& cC24(iV21027)
& cowlThing(iV21029)
& cC50(iV21029)
& cC44(iV21029)
& cowlThing(iV21030)
& cC66(iV21030)
& cC72(iV21030) ),
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_41,axiom,
! [X1] :
( cC174(X1)
<=> ( cC168(X1)
& ~ cC172(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(axiom_44,axiom,
! [X1] :
( cC180(X1)
<=> ( ~ cC178(X1)
& cC174(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_33,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC10(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
fof(axiom_7,axiom,
! [X1] :
( cC110(X1)
<=> ( cC108(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X1] :
( cC112(X1)
<=> ( cC90(X1)
& cC110(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_10,axiom,
! [X1] :
( cC116(X1)
<=> ( cC114(X1)
& cC112(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_82,axiom,
! [X1] :
( cC90(X1)
<=> ( cC88(X1)
& cC86(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_19,axiom,
! [X1] :
( cC134(X1)
<=> ( cC132(X1)
& cC116(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_18,axiom,
! [X1] :
( cC132(X1)
<=> ( cTOP(X1)
& cC130(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_21,axiom,
! [X1] :
( cC138(X1)
<=> ( cC136(X1)
& cC134(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_31,axiom,
! [X1] :
( cC156(X1)
<=> ( cC154(X1)
& cC138(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(axiom_30,axiom,
! [X1] :
( cC154(X1)
<=> ( cTOP(X1)
& cC152(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(axiom_32,axiom,
! [X1] :
( cC158(X1)
<=> ( cC22(X1)
& cC156(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(axiom_54,axiom,
! [X1] :
( cC38(X1)
<=> ( cC36(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(axiom_57,axiom,
! [X1] :
( cC42(X1)
<=> ( cC40(X1)
& cC38(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_66,axiom,
! [X1] :
( cC60(X1)
<=> ( cC58(X1)
& cC42(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
fof(axiom_65,axiom,
! [X1] :
( cC58(X1)
<=> ( cC56(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_68,axiom,
! [X1] :
( cC64(X1)
<=> ( cC62(X1)
& cC60(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
fof(axiom_78,axiom,
! [X1] :
( cC82(X1)
<=> ( cC80(X1)
& cC64(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
fof(axiom_77,axiom,
! [X1] :
( cC80(X1)
<=> ( cTOP(X1)
& cC78(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(axiom_80,axiom,
! [X1] :
( cC86(X1)
<=> ( cC82(X1)
& cC84(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
fof(axiom_46,axiom,
! [X1] :
( cC22(X1)
<=> ( cC16(X1)
& cC20(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(axiom_86,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC158(X1)
& cC180(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
fof(axiom_89,axiom,
cTEST(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC8(X1)
& cC4(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_51,axiom,
! [X1] :
( cC32(X1)
<=> ( ~ cC2(X1)
& ~ cC30(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(axiom_136,axiom,
~ cC32(iV21027),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).
fof(axiom_150,axiom,
~ cC2(iV21027),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_150) ).
fof(axiom_48,axiom,
! [X1] :
( cC26(X1)
<=> ( ~ cC24(X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(axiom_126,axiom,
~ cC26(iV21027),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_126) ).
fof(axiom_73,axiom,
! [X1] :
( cC74(X1)
<=> ( ~ cC18(X1)
& ~ cC72(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
fof(axiom_192,axiom,
~ cC74(iV21030),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_192) ).
fof(axiom_202,axiom,
~ cC18(iV21030),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_202) ).
fof(axiom_70,axiom,
! [X1] :
( cC68(X1)
<=> ( ~ cC66(X1)
& ~ cC18(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(axiom_191,axiom,
~ cC68(iV21030),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_191) ).
fof(axiom_62,axiom,
! [X1] :
( cC52(X1)
<=> ( ~ cC12(X1)
& ~ cC50(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(axiom_168,axiom,
~ cC52(iV21029),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
fof(axiom_163,axiom,
~ cC12(iV21029),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_163) ).
fof(axiom_59,axiom,
! [X1] :
( cC46(X1)
<=> ( ~ cC12(X1)
& ~ cC44(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(axiom_157,axiom,
~ cC46(iV21029),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_157) ).
fof(c_0_43,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iV21026)
& cC84(iV21026)
& cC16(iV21026)
& cC36(iV21026)
& cC42(iV21026)
& cC88(iV21026)
& cC86(iV21026)
& cC174(iV21026)
& cC20(iV21026)
& cC156(iV21026)
& cC60(iV21026)
& cC38(iV21026)
& cC158(iV21026)
& cC10(iV21026)
& cC134(iV21026)
& cC22(iV21026)
& cC168(iV21026)
& cC56(iV21026)
& cC78(iV21026)
& cC58(iV21026)
& cC152(iV21026)
& cC40(iV21026)
& cC132(iV21026)
& cC130(iV21026)
& cC62(iV21026)
& cC154(iV21026)
& cC80(iV21026)
& cC8(iV21026)
& cC136(iV21026)
& cC112(iV21026)
& cC180(iV21026)
& cC114(iV21026)
& cC64(iV21026)
& cC110(iV21026)
& cC116(iV21026)
& cC82(iV21026)
& cC138(iV21026)
& cC4(iV21026)
& cC108(iV21026)
& cC14(iV21026)
& cC90(iV21026)
& cowlThing(iV21027)
& cC30(iV21027)
& cC24(iV21027)
& cowlThing(iV21029)
& cC50(iV21029)
& cC44(iV21029)
& cowlThing(iV21030)
& cC66(iV21030)
& cC72(iV21030) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_44,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_45,negated_conjecture,
( ( ~ xsd_string(esk38_0)
| xsd_integer(esk38_0)
| ~ cowlThing(esk37_0)
| cowlNothing(esk37_0)
| ~ cowlThing(iV21026)
| ~ cC84(iV21026)
| ~ cC16(iV21026)
| ~ cC36(iV21026)
| ~ cC42(iV21026)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC174(iV21026)
| ~ cC20(iV21026)
| ~ cC156(iV21026)
| ~ cC60(iV21026)
| ~ cC38(iV21026)
| ~ cC158(iV21026)
| ~ cC10(iV21026)
| ~ cC134(iV21026)
| ~ cC22(iV21026)
| ~ cC168(iV21026)
| ~ cC56(iV21026)
| ~ cC78(iV21026)
| ~ cC58(iV21026)
| ~ cC152(iV21026)
| ~ cC40(iV21026)
| ~ cC132(iV21026)
| ~ cC130(iV21026)
| ~ cC62(iV21026)
| ~ cC154(iV21026)
| ~ cC80(iV21026)
| ~ cC8(iV21026)
| ~ cC136(iV21026)
| ~ cC112(iV21026)
| ~ cC180(iV21026)
| ~ cC114(iV21026)
| ~ cC64(iV21026)
| ~ cC110(iV21026)
| ~ cC116(iV21026)
| ~ cC82(iV21026)
| ~ cC138(iV21026)
| ~ cC4(iV21026)
| ~ cC108(iV21026)
| ~ cC14(iV21026)
| ~ cC90(iV21026)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cowlThing(iV21029)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030) )
& ( xsd_string(esk38_0)
| ~ xsd_integer(esk38_0)
| ~ cowlThing(esk37_0)
| cowlNothing(esk37_0)
| ~ cowlThing(iV21026)
| ~ cC84(iV21026)
| ~ cC16(iV21026)
| ~ cC36(iV21026)
| ~ cC42(iV21026)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC174(iV21026)
| ~ cC20(iV21026)
| ~ cC156(iV21026)
| ~ cC60(iV21026)
| ~ cC38(iV21026)
| ~ cC158(iV21026)
| ~ cC10(iV21026)
| ~ cC134(iV21026)
| ~ cC22(iV21026)
| ~ cC168(iV21026)
| ~ cC56(iV21026)
| ~ cC78(iV21026)
| ~ cC58(iV21026)
| ~ cC152(iV21026)
| ~ cC40(iV21026)
| ~ cC132(iV21026)
| ~ cC130(iV21026)
| ~ cC62(iV21026)
| ~ cC154(iV21026)
| ~ cC80(iV21026)
| ~ cC8(iV21026)
| ~ cC136(iV21026)
| ~ cC112(iV21026)
| ~ cC180(iV21026)
| ~ cC114(iV21026)
| ~ cC64(iV21026)
| ~ cC110(iV21026)
| ~ cC116(iV21026)
| ~ cC82(iV21026)
| ~ cC138(iV21026)
| ~ cC4(iV21026)
| ~ cC108(iV21026)
| ~ cC14(iV21026)
| ~ cC90(iV21026)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cowlThing(iV21029)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
fof(c_0_46,plain,
! [X156] :
( cowlThing(X156)
& ~ cowlNothing(X156) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_47,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_48,plain,
! [X1] :
( cC174(X1)
<=> ( cC168(X1)
& ~ cC172(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_41]) ).
fof(c_0_49,plain,
! [X1] :
( cC180(X1)
<=> ( ~ cC178(X1)
& cC174(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_44]) ).
cnf(c_0_50,negated_conjecture,
( xsd_integer(esk38_0)
| cowlNothing(esk37_0)
| ~ xsd_string(esk38_0)
| ~ cowlThing(esk37_0)
| ~ cowlThing(iV21026)
| ~ cC84(iV21026)
| ~ cC16(iV21026)
| ~ cC36(iV21026)
| ~ cC42(iV21026)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC174(iV21026)
| ~ cC20(iV21026)
| ~ cC156(iV21026)
| ~ cC60(iV21026)
| ~ cC38(iV21026)
| ~ cC158(iV21026)
| ~ cC10(iV21026)
| ~ cC134(iV21026)
| ~ cC22(iV21026)
| ~ cC168(iV21026)
| ~ cC56(iV21026)
| ~ cC78(iV21026)
| ~ cC58(iV21026)
| ~ cC152(iV21026)
| ~ cC40(iV21026)
| ~ cC132(iV21026)
| ~ cC130(iV21026)
| ~ cC62(iV21026)
| ~ cC154(iV21026)
| ~ cC80(iV21026)
| ~ cC8(iV21026)
| ~ cC136(iV21026)
| ~ cC112(iV21026)
| ~ cC180(iV21026)
| ~ cC114(iV21026)
| ~ cC64(iV21026)
| ~ cC110(iV21026)
| ~ cC116(iV21026)
| ~ cC82(iV21026)
| ~ cC138(iV21026)
| ~ cC4(iV21026)
| ~ cC108(iV21026)
| ~ cC14(iV21026)
| ~ cC90(iV21026)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cowlThing(iV21029)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_52,plain,
! [X157] :
( ( ~ xsd_string(X157)
| ~ xsd_integer(X157) )
& ( xsd_integer(X157)
| xsd_string(X157) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_53,plain,
! [X222] :
( ( cC14(X222)
| ~ cC16(X222) )
& ( cC10(X222)
| ~ cC16(X222) )
& ( ~ cC14(X222)
| ~ cC10(X222)
| cC16(X222) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_33])])]) ).
fof(c_0_54,plain,
! [X169] :
( ( cC108(X169)
| ~ cC110(X169) )
& ( cTOP(X169)
| ~ cC110(X169) )
& ( ~ cC108(X169)
| ~ cTOP(X169)
| cC110(X169) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
fof(c_0_55,plain,
! [X170] :
( ( cC90(X170)
| ~ cC112(X170) )
& ( cC110(X170)
| ~ cC112(X170) )
& ( ~ cC90(X170)
| ~ cC110(X170)
| cC112(X170) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])]) ).
fof(c_0_56,plain,
! [X172] :
( ( cC114(X172)
| ~ cC116(X172) )
& ( cC112(X172)
| ~ cC116(X172) )
& ( ~ cC114(X172)
| ~ cC112(X172)
| cC116(X172) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
fof(c_0_57,plain,
! [X340] :
( ( cC88(X340)
| ~ cC90(X340) )
& ( cC86(X340)
| ~ cC90(X340) )
& ( ~ cC88(X340)
| ~ cC86(X340)
| cC90(X340) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_82])])]) ).
fof(c_0_58,plain,
! [X193] :
( ( cC132(X193)
| ~ cC134(X193) )
& ( cC116(X193)
| ~ cC134(X193) )
& ( ~ cC132(X193)
| ~ cC116(X193)
| cC134(X193) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_19])])]) ).
fof(c_0_59,plain,
! [X192] :
( ( cTOP(X192)
| ~ cC132(X192) )
& ( cC130(X192)
| ~ cC132(X192) )
& ( ~ cTOP(X192)
| ~ cC130(X192)
| cC132(X192) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])])]) ).
fof(c_0_60,plain,
! [X195] :
( ( cC136(X195)
| ~ cC138(X195) )
& ( cC134(X195)
| ~ cC138(X195) )
& ( ~ cC136(X195)
| ~ cC134(X195)
| cC138(X195) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_21])])]) ).
fof(c_0_61,plain,
! [X220] :
( ( cC154(X220)
| ~ cC156(X220) )
& ( cC138(X220)
| ~ cC156(X220) )
& ( ~ cC154(X220)
| ~ cC138(X220)
| cC156(X220) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_31])])]) ).
fof(c_0_62,plain,
! [X219] :
( ( cTOP(X219)
| ~ cC154(X219) )
& ( cC152(X219)
| ~ cC154(X219) )
& ( ~ cTOP(X219)
| ~ cC152(X219)
| cC154(X219) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_30])])]) ).
fof(c_0_63,plain,
! [X221] :
( ( cC22(X221)
| ~ cC158(X221) )
& ( cC156(X221)
| ~ cC158(X221) )
& ( ~ cC22(X221)
| ~ cC156(X221)
| cC158(X221) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_32])])]) ).
fof(c_0_64,plain,
! [X248] :
( ( cC168(X248)
| ~ cC174(X248) )
& ( ~ cC172(X248)
| ~ cC174(X248) )
& ( ~ cC168(X248)
| cC172(X248)
| cC174(X248) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_65,plain,
! [X257] :
( ( ~ cC178(X257)
| ~ cC180(X257) )
& ( cC174(X257)
| ~ cC180(X257) )
& ( cC178(X257)
| ~ cC174(X257)
| cC180(X257) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_66,plain,
! [X282] :
( ( cC36(X282)
| ~ cC38(X282) )
& ( cTOP(X282)
| ~ cC38(X282) )
& ( ~ cC36(X282)
| ~ cTOP(X282)
| cC38(X282) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_54])])]) ).
fof(c_0_67,plain,
! [X288] :
( ( cC40(X288)
| ~ cC42(X288) )
& ( cC38(X288)
| ~ cC42(X288) )
& ( ~ cC40(X288)
| ~ cC38(X288)
| cC42(X288) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])])]) ).
fof(c_0_68,plain,
! [X309] :
( ( cC58(X309)
| ~ cC60(X309) )
& ( cC42(X309)
| ~ cC60(X309) )
& ( ~ cC58(X309)
| ~ cC42(X309)
| cC60(X309) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_66])])]) ).
fof(c_0_69,plain,
! [X308] :
( ( cC56(X308)
| ~ cC58(X308) )
& ( cTOP(X308)
| ~ cC58(X308) )
& ( ~ cC56(X308)
| ~ cTOP(X308)
| cC58(X308) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_65])])]) ).
fof(c_0_70,plain,
! [X311] :
( ( cC62(X311)
| ~ cC64(X311) )
& ( cC60(X311)
| ~ cC64(X311) )
& ( ~ cC62(X311)
| ~ cC60(X311)
| cC64(X311) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_68])])]) ).
fof(c_0_71,plain,
! [X336] :
( ( cC80(X336)
| ~ cC82(X336) )
& ( cC64(X336)
| ~ cC82(X336) )
& ( ~ cC80(X336)
| ~ cC64(X336)
| cC82(X336) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_78])])]) ).
fof(c_0_72,plain,
! [X335] :
( ( cTOP(X335)
| ~ cC80(X335) )
& ( cC78(X335)
| ~ cC80(X335) )
& ( ~ cTOP(X335)
| ~ cC78(X335)
| cC80(X335) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_77])])]) ).
fof(c_0_73,plain,
! [X338] :
( ( cC82(X338)
| ~ cC86(X338) )
& ( cC84(X338)
| ~ cC86(X338) )
& ( ~ cC82(X338)
| ~ cC84(X338)
| cC86(X338) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])]) ).
fof(c_0_74,plain,
! [X262] :
( ( cC16(X262)
| ~ cC22(X262) )
& ( cC20(X262)
| ~ cC22(X262) )
& ( ~ cC16(X262)
| ~ cC20(X262)
| cC22(X262) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
cnf(c_0_75,negated_conjecture,
( xsd_string(esk38_0)
| cowlNothing(esk37_0)
| ~ xsd_integer(esk38_0)
| ~ cowlThing(esk37_0)
| ~ cowlThing(iV21026)
| ~ cC84(iV21026)
| ~ cC16(iV21026)
| ~ cC36(iV21026)
| ~ cC42(iV21026)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC174(iV21026)
| ~ cC20(iV21026)
| ~ cC156(iV21026)
| ~ cC60(iV21026)
| ~ cC38(iV21026)
| ~ cC158(iV21026)
| ~ cC10(iV21026)
| ~ cC134(iV21026)
| ~ cC22(iV21026)
| ~ cC168(iV21026)
| ~ cC56(iV21026)
| ~ cC78(iV21026)
| ~ cC58(iV21026)
| ~ cC152(iV21026)
| ~ cC40(iV21026)
| ~ cC132(iV21026)
| ~ cC130(iV21026)
| ~ cC62(iV21026)
| ~ cC154(iV21026)
| ~ cC80(iV21026)
| ~ cC8(iV21026)
| ~ cC136(iV21026)
| ~ cC112(iV21026)
| ~ cC180(iV21026)
| ~ cC114(iV21026)
| ~ cC64(iV21026)
| ~ cC110(iV21026)
| ~ cC116(iV21026)
| ~ cC82(iV21026)
| ~ cC138(iV21026)
| ~ cC4(iV21026)
| ~ cC108(iV21026)
| ~ cC14(iV21026)
| ~ cC90(iV21026)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cowlThing(iV21029)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_76,plain,
! [X350] :
( ( cC158(X350)
| ~ cTEST(X350) )
& ( cC180(X350)
| ~ cTEST(X350) )
& ( ~ cC158(X350)
| ~ cC180(X350)
| cTEST(X350) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_86])])]) ).
cnf(c_0_77,negated_conjecture,
( cowlNothing(esk37_0)
| xsd_integer(esk38_0)
| ~ xsd_string(esk38_0)
| ~ cC10(iV21026)
| ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC108(iV21026)
| ~ cC110(iV21026)
| ~ cC112(iV21026)
| ~ cC90(iV21026)
| ~ cC114(iV21026)
| ~ cC116(iV21026)
| ~ cC130(iV21026)
| ~ cC132(iV21026)
| ~ cC134(iV21026)
| ~ cC136(iV21026)
| ~ cC138(iV21026)
| ~ cC14(iV21026)
| ~ cC152(iV21026)
| ~ cC154(iV21026)
| ~ cC156(iV21026)
| ~ cC158(iV21026)
| ~ cC22(iV21026)
| ~ cC16(iV21026)
| ~ cC168(iV21026)
| ~ cC174(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC36(iV21026)
| ~ cC38(iV21026)
| ~ cC40(iV21026)
| ~ cC42(iV21026)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cC60(iV21026)
| ~ cC62(iV21026)
| ~ cC64(iV21026)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC78(iV21026)
| ~ cC80(iV21026)
| ~ cC82(iV21026)
| ~ cC84(iV21026)
| ~ cC86(iV21026)
| ~ cC88(iV21026) ),
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_50,c_0_51]),c_0_51]),c_0_51]),c_0_51]),c_0_51])]) ).
cnf(c_0_78,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_79,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_80,plain,
( cC10(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_81,plain,
( cC108(X1)
| ~ cC110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82,plain,
( cC110(X1)
| ~ cC112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_83,plain,
( cC112(X1)
| ~ cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_84,plain,
( cC90(X1)
| ~ cC88(X1)
| ~ cC86(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_85,plain,
( cC114(X1)
| ~ cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_86,plain,
( cC116(X1)
| ~ cC134(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_87,plain,
( cC130(X1)
| ~ cC132(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_88,plain,
( cC132(X1)
| ~ cC134(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_89,plain,
( cC134(X1)
| ~ cC138(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_90,plain,
( cC136(X1)
| ~ cC138(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_91,plain,
( cC138(X1)
| ~ cC156(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_92,plain,
( cC14(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_93,plain,
( cC152(X1)
| ~ cC154(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_94,plain,
( cC154(X1)
| ~ cC156(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_95,plain,
( cC156(X1)
| ~ cC158(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_96,plain,
( cC22(X1)
| ~ cC158(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_97,plain,
( cC168(X1)
| ~ cC174(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_98,plain,
( cC174(X1)
| ~ cC180(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_99,plain,
( cC36(X1)
| ~ cC38(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( cC38(X1)
| ~ cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_101,plain,
( cC40(X1)
| ~ cC42(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_102,plain,
( cC42(X1)
| ~ cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_103,plain,
( cC56(X1)
| ~ cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_104,plain,
( cC58(X1)
| ~ cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_105,plain,
( cC60(X1)
| ~ cC64(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
( cC62(X1)
| ~ cC64(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_107,plain,
( cC64(X1)
| ~ cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_108,plain,
( cC78(X1)
| ~ cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_109,plain,
( cC80(X1)
| ~ cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_110,plain,
( cC82(X1)
| ~ cC86(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_111,plain,
( cC84(X1)
| ~ cC86(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_112,plain,
( cC16(X1)
| ~ cC22(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_113,negated_conjecture,
( cowlNothing(esk37_0)
| xsd_string(esk38_0)
| ~ xsd_integer(esk38_0)
| ~ cC10(iV21026)
| ~ cC8(iV21026)
| ~ cC4(iV21026)
| ~ cC108(iV21026)
| ~ cC110(iV21026)
| ~ cC112(iV21026)
| ~ cC90(iV21026)
| ~ cC114(iV21026)
| ~ cC116(iV21026)
| ~ cC130(iV21026)
| ~ cC132(iV21026)
| ~ cC134(iV21026)
| ~ cC136(iV21026)
| ~ cC138(iV21026)
| ~ cC14(iV21026)
| ~ cC152(iV21026)
| ~ cC154(iV21026)
| ~ cC156(iV21026)
| ~ cC158(iV21026)
| ~ cC22(iV21026)
| ~ cC16(iV21026)
| ~ cC168(iV21026)
| ~ cC174(iV21026)
| ~ cC180(iV21026)
| ~ cC20(iV21026)
| ~ cC24(iV21027)
| ~ cC30(iV21027)
| ~ cC36(iV21026)
| ~ cC38(iV21026)
| ~ cC40(iV21026)
| ~ cC42(iV21026)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cC60(iV21026)
| ~ cC62(iV21026)
| ~ cC64(iV21026)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cC78(iV21026)
| ~ cC80(iV21026)
| ~ cC82(iV21026)
| ~ cC84(iV21026)
| ~ cC86(iV21026)
| ~ cC88(iV21026) ),
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_51]),c_0_51]),c_0_51]),c_0_51]),c_0_51])]) ).
cnf(c_0_114,plain,
( cC158(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_115,plain,
cTEST(iV21026),
inference(split_conjunct,[status(thm)],[axiom_89]) ).
cnf(c_0_116,negated_conjecture,
( xsd_integer(esk38_0)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC20(iV21026)
| ~ cC180(iV21026)
| ~ cC16(iV21026)
| ~ cC158(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
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)],[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]),c_0_111]) ).
cnf(c_0_117,plain,
( cC16(X1)
| ~ cC158(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_96]) ).
cnf(c_0_118,negated_conjecture,
( xsd_string(esk38_0)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC20(iV21026)
| ~ cC180(iV21026)
| ~ cC16(iV21026)
| ~ cC158(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
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)],[c_0_113,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]),c_0_111]) ).
cnf(c_0_119,plain,
cC158(iV21026),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_121,negated_conjecture,
( xsd_integer(esk38_0)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC20(iV21026)
| ~ cC180(iV21026)
| ~ cC158(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(csr,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( xsd_string(esk38_0)
| ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC20(iV21026)
| ~ cC180(iV21026)
| ~ cC158(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(csr,[status(thm)],[c_0_118,c_0_117]) ).
cnf(c_0_123,plain,
cC156(iV21026),
inference(spm,[status(thm)],[c_0_95,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
( ~ cC88(iV21026)
| ~ cC86(iV21026)
| ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC20(iV21026)
| ~ cC180(iV21026)
| ~ cC158(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_125,plain,
( cC88(X1)
| ~ cC90(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_126,plain,
( cC86(X1)
| ~ cC90(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_127,plain,
cC138(iV21026),
inference(spm,[status(thm)],[c_0_91,c_0_123]) ).
cnf(c_0_128,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC20(iV21026)
| ~ cC180(iV21026)
| ~ cC158(iV21026)
| ~ cC90(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_129,plain,
( cC20(X1)
| ~ cC22(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_130,plain,
( cC180(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_131,plain,
cC134(iV21026),
inference(spm,[status(thm)],[c_0_89,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC180(iV21026)
| ~ cC158(iV21026)
| ~ cC90(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_96]) ).
cnf(c_0_133,plain,
cC180(iV21026),
inference(spm,[status(thm)],[c_0_130,c_0_115]) ).
cnf(c_0_134,plain,
cC116(iV21026),
inference(spm,[status(thm)],[c_0_86,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC90(iV21026)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_119])]),c_0_133])]) ).
cnf(c_0_136,plain,
( cC90(X1)
| ~ cC112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_137,plain,
cC112(iV21026),
inference(spm,[status(thm)],[c_0_83,c_0_134]) ).
fof(c_0_138,plain,
! [X158] :
( ( cC8(X158)
| ~ cC10(X158) )
& ( cC4(X158)
| ~ cC10(X158) )
& ( ~ cC8(X158)
| ~ cC4(X158)
| cC10(X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_139,plain,
cC16(iV21026),
inference(spm,[status(thm)],[c_0_117,c_0_119]) ).
cnf(c_0_140,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC4(iV21026)
| ~ cC8(iV21026) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).
cnf(c_0_141,plain,
( cC4(X1)
| ~ cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_142,plain,
cC10(iV21026),
inference(spm,[status(thm)],[c_0_80,c_0_139]) ).
fof(c_0_143,plain,
! [X1] :
( cC32(X1)
<=> ( ~ cC2(X1)
& ~ cC30(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_51]) ).
cnf(c_0_144,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027)
| ~ cC8(iV21026) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]) ).
cnf(c_0_145,plain,
( cC8(X1)
| ~ cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
fof(c_0_146,plain,
! [X276] :
( ( ~ cC2(X276)
| ~ cC32(X276) )
& ( ~ cC30(X276)
| ~ cC32(X276) )
& ( cC2(X276)
| cC30(X276)
| cC32(X276) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])]) ).
fof(c_0_147,plain,
~ cC32(iV21027),
inference(fof_simplification,[status(thm)],[axiom_136]) ).
fof(c_0_148,plain,
~ cC2(iV21027),
inference(fof_simplification,[status(thm)],[axiom_150]) ).
fof(c_0_149,plain,
! [X1] :
( cC26(X1)
<=> ( ~ cC24(X1)
& ~ cC2(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_48]) ).
cnf(c_0_150,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC30(iV21027)
| ~ cC24(iV21027) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_142])]) ).
cnf(c_0_151,plain,
( cC2(X1)
| cC30(X1)
| cC32(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_152,plain,
~ cC32(iV21027),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_153,plain,
~ cC2(iV21027),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
fof(c_0_154,plain,
! [X267] :
( ( ~ cC24(X267)
| ~ cC26(X267) )
& ( ~ cC2(X267)
| ~ cC26(X267) )
& ( cC24(X267)
| cC2(X267)
| cC26(X267) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_149])])]) ).
fof(c_0_155,plain,
~ cC26(iV21027),
inference(fof_simplification,[status(thm)],[axiom_126]) ).
fof(c_0_156,plain,
! [X1] :
( cC74(X1)
<=> ( ~ cC18(X1)
& ~ cC72(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_73]) ).
cnf(c_0_157,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029)
| ~ cC24(iV21027) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]) ).
cnf(c_0_158,plain,
( cC24(X1)
| cC2(X1)
| cC26(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_159,plain,
~ cC26(iV21027),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
fof(c_0_160,plain,
! [X325] :
( ( ~ cC18(X325)
| ~ cC74(X325) )
& ( ~ cC72(X325)
| ~ cC74(X325) )
& ( cC18(X325)
| cC72(X325)
| cC74(X325) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_156])])]) ).
fof(c_0_161,plain,
~ cC74(iV21030),
inference(fof_simplification,[status(thm)],[axiom_192]) ).
fof(c_0_162,plain,
~ cC18(iV21030),
inference(fof_simplification,[status(thm)],[axiom_202]) ).
fof(c_0_163,plain,
! [X1] :
( cC68(X1)
<=> ( ~ cC66(X1)
& ~ cC18(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
cnf(c_0_164,negated_conjecture,
( ~ cC72(iV21030)
| ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_153]) ).
cnf(c_0_165,plain,
( cC18(X1)
| cC72(X1)
| cC74(X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_166,plain,
~ cC74(iV21030),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_167,plain,
~ cC18(iV21030),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
fof(c_0_168,plain,
! [X316] :
( ( ~ cC66(X316)
| ~ cC68(X316) )
& ( ~ cC18(X316)
| ~ cC68(X316) )
& ( cC66(X316)
| cC18(X316)
| cC68(X316) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_163])])]) ).
fof(c_0_169,plain,
~ cC68(iV21030),
inference(fof_simplification,[status(thm)],[axiom_191]) ).
fof(c_0_170,plain,
! [X1] :
( cC52(X1)
<=> ( ~ cC12(X1)
& ~ cC50(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_62]) ).
cnf(c_0_171,negated_conjecture,
( ~ cC66(iV21030)
| ~ cC50(iV21029)
| ~ cC44(iV21029) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_167]) ).
cnf(c_0_172,plain,
( cC66(X1)
| cC18(X1)
| cC68(X1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_173,plain,
~ cC68(iV21030),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
fof(c_0_174,plain,
! [X302] :
( ( ~ cC12(X302)
| ~ cC52(X302) )
& ( ~ cC50(X302)
| ~ cC52(X302) )
& ( cC12(X302)
| cC50(X302)
| cC52(X302) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_170])])]) ).
fof(c_0_175,plain,
~ cC52(iV21029),
inference(fof_simplification,[status(thm)],[axiom_168]) ).
fof(c_0_176,plain,
~ cC12(iV21029),
inference(fof_simplification,[status(thm)],[axiom_163]) ).
fof(c_0_177,plain,
! [X1] :
( cC46(X1)
<=> ( ~ cC12(X1)
& ~ cC44(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_59]) ).
cnf(c_0_178,negated_conjecture,
( ~ cC50(iV21029)
| ~ cC44(iV21029) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_167]) ).
cnf(c_0_179,plain,
( cC12(X1)
| cC50(X1)
| cC52(X1) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_180,plain,
~ cC52(iV21029),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_181,plain,
~ cC12(iV21029),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
fof(c_0_182,plain,
! [X293] :
( ( ~ cC12(X293)
| ~ cC46(X293) )
& ( ~ cC44(X293)
| ~ cC46(X293) )
& ( cC12(X293)
| cC44(X293)
| cC46(X293) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_177])])]) ).
fof(c_0_183,plain,
~ cC46(iV21029),
inference(fof_simplification,[status(thm)],[axiom_157]) ).
cnf(c_0_184,negated_conjecture,
~ cC44(iV21029),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_185,plain,
( cC12(X1)
| cC44(X1)
| cC46(X1) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_186,plain,
~ cC46(iV21029),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_187,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_181]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS151+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 : n005.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 20:38:45 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.38/1.75 % Version : CSE_E---1.7
% 1.38/1.75 % Problem : theBenchmark.p
% 1.38/1.75 % SZS status Theorem for theBenchmark.p
% 1.38/1.75 % SZS output start CNFRefutation
% See solution above
% 1.38/1.76 % Total time : 1.371s
%------------------------------------------------------------------------------