%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:59:49 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 56
% Syntax : Number of formulae : 197 ( 42 unt; 26 def)
% Number of atoms : 611 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 684 ( 270 ~; 277 |; 94 &)
% ( 42 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 58 ( 57 usr; 27 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 87 ( 80 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( cC104(X)
<=> ( cC34(X)
& cC4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cC110(X)
<=> ( cC108xcomp(X)
& cC102xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cC114(X)
<=> ( cC96xcomp(X)
& cC112xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( cC116(X)
<=> ( cC80(X)
& cC114(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( cC118(X)
<=> ( cC10xcomp(X)
& cC4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( cC120(X)
<=> ( cC34(X)
& cC118(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] :
( cC136(X)
<=> ( cC116(X)
& cC134xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [X] :
( cC24(X)
<=> ( cC2(X)
& cC16(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [X] :
( cC56(X)
<=> ( cC10xcomp(X)
& cC4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [X] :
( cC58(X)
<=> ( cC56(X)
& cC34(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,axiom,
! [X] :
( cC80(X)
<=> ( cC76xcomp(X)
& cC78xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [X] :
( cC88(X)
<=> ( cC2(X)
& cC16(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,axiom,
! [X] :
( cC94(X)
<=> ( cC92xcomp(X)
& cC86xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f147,axiom,
cC16(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f148,axiom,
cC102xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f149,axiom,
cC108xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f150,axiom,
cC4(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f152,axiom,
cC112xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f153,axiom,
cC76xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,axiom,
cC96xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
cC78xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
cC134xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f162,axiom,
cC86xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
cC34(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f166,axiom,
cC2(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f168,axiom,
cC10xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f169,axiom,
cC92xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,conjecture,
( cC56(iV822576)
& cC136(iV822576)
& cC110(iV822576)
& cC80(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f171,negated_conjecture,
~ ( cC56(iV822576)
& cC136(iV822576)
& cC110(iV822576)
& cC80(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f170]) ).
fof(f172,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f173,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f175,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f176,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f177,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f223,plain,
! [X] :
( ( ~ cC34(X)
| ~ cC4(X)
| cC104(X) )
& ( ( cC34(X)
& cC4(X) )
| ~ cC104(X) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f224,plain,
( ! [X] :
( ~ cC34(X)
| ~ cC4(X)
| cC104(X) )
& ! [X] :
( ( cC34(X)
& cC4(X) )
| ~ cC104(X) ) ),
inference(miniscoping,[status(thm)],[f223]) ).
fof(f227,plain,
! [X0] :
( ~ cC34(X0)
| ~ cC4(X0)
| cC104(X0) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f250,plain,
! [X] :
( ( ~ cC108xcomp(X)
| ~ cC102xcomp(X)
| cC110(X) )
& ( ( cC108xcomp(X)
& cC102xcomp(X) )
| ~ cC110(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f251,plain,
( ! [X] :
( ~ cC108xcomp(X)
| ~ cC102xcomp(X)
| cC110(X) )
& ! [X] :
( ( cC108xcomp(X)
& cC102xcomp(X) )
| ~ cC110(X) ) ),
inference(miniscoping,[status(thm)],[f250]) ).
fof(f254,plain,
! [X0] :
( ~ cC108xcomp(X0)
| ~ cC102xcomp(X0)
| cC110(X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f282,plain,
! [X] :
( ( ~ cC96xcomp(X)
| ~ cC112xcomp(X)
| cC114(X) )
& ( ( cC96xcomp(X)
& cC112xcomp(X) )
| ~ cC114(X) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f283,plain,
( ! [X] :
( ~ cC96xcomp(X)
| ~ cC112xcomp(X)
| cC114(X) )
& ! [X] :
( ( cC96xcomp(X)
& cC112xcomp(X) )
| ~ cC114(X) ) ),
inference(miniscoping,[status(thm)],[f282]) ).
fof(f286,plain,
! [X0] :
( ~ cC96xcomp(X0)
| ~ cC112xcomp(X0)
| cC114(X0) ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f287,plain,
! [X] :
( ( ~ cC80(X)
| ~ cC114(X)
| cC116(X) )
& ( ( cC80(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f288,plain,
( ! [X] :
( ~ cC80(X)
| ~ cC114(X)
| cC116(X) )
& ! [X] :
( ( cC80(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(miniscoping,[status(thm)],[f287]) ).
fof(f291,plain,
! [X0] :
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f292,plain,
! [X] :
( ( ~ cC10xcomp(X)
| ~ cC4(X)
| cC118(X) )
& ( ( cC10xcomp(X)
& cC4(X) )
| ~ cC118(X) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f293,plain,
( ! [X] :
( ~ cC10xcomp(X)
| ~ cC4(X)
| cC118(X) )
& ! [X] :
( ( cC10xcomp(X)
& cC4(X) )
| ~ cC118(X) ) ),
inference(miniscoping,[status(thm)],[f292]) ).
fof(f296,plain,
! [X0] :
( ~ cC10xcomp(X0)
| ~ cC4(X0)
| cC118(X0) ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f313,plain,
! [X] :
( ( ~ cC34(X)
| ~ cC118(X)
| cC120(X) )
& ( ( cC34(X)
& cC118(X) )
| ~ cC120(X) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f314,plain,
( ! [X] :
( ~ cC34(X)
| ~ cC118(X)
| cC120(X) )
& ! [X] :
( ( cC34(X)
& cC118(X) )
| ~ cC120(X) ) ),
inference(miniscoping,[status(thm)],[f313]) ).
fof(f317,plain,
! [X0] :
( ~ cC34(X0)
| ~ cC118(X0)
| cC120(X0) ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f394,plain,
! [X] :
( ( ~ cC116(X)
| ~ cC134xcomp(X)
| cC136(X) )
& ( ( cC116(X)
& cC134xcomp(X) )
| ~ cC136(X) ) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f395,plain,
( ! [X] :
( ~ cC116(X)
| ~ cC134xcomp(X)
| cC136(X) )
& ! [X] :
( ( cC116(X)
& cC134xcomp(X) )
| ~ cC136(X) ) ),
inference(miniscoping,[status(thm)],[f394]) ).
fof(f398,plain,
! [X0] :
( ~ cC116(X0)
| ~ cC134xcomp(X0)
| cC136(X0) ),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f491,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC16(X)
| cC24(X) )
& ( ( cC2(X)
& cC16(X) )
| ~ cC24(X) ) ),
inference(NNF_transformation,[status(thm)],[f61]) ).
fof(f492,plain,
( ! [X] :
( ~ cC2(X)
| ~ cC16(X)
| cC24(X) )
& ! [X] :
( ( cC2(X)
& cC16(X) )
| ~ cC24(X) ) ),
inference(miniscoping,[status(thm)],[f491]) ).
fof(f495,plain,
! [X0] :
( ~ cC2(X0)
| ~ cC16(X0)
| cC24(X0) ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f668,plain,
! [X] :
( ( ~ cC10xcomp(X)
| ~ cC4(X)
| cC56(X) )
& ( ( cC10xcomp(X)
& cC4(X) )
| ~ cC56(X) ) ),
inference(NNF_transformation,[status(thm)],[f94]) ).
fof(f669,plain,
( ! [X] :
( ~ cC10xcomp(X)
| ~ cC4(X)
| cC56(X) )
& ! [X] :
( ( cC10xcomp(X)
& cC4(X) )
| ~ cC56(X) ) ),
inference(miniscoping,[status(thm)],[f668]) ).
fof(f672,plain,
! [X0] :
( ~ cC10xcomp(X0)
| ~ cC4(X0)
| cC56(X0) ),
inference(cnf_transformation,[status(thm)],[f669]) ).
fof(f673,plain,
! [X] :
( ( ~ cC56(X)
| ~ cC34(X)
| cC58(X) )
& ( ( cC56(X)
& cC34(X) )
| ~ cC58(X) ) ),
inference(NNF_transformation,[status(thm)],[f95]) ).
fof(f674,plain,
( ! [X] :
( ~ cC56(X)
| ~ cC34(X)
| cC58(X) )
& ! [X] :
( ( cC56(X)
& cC34(X) )
| ~ cC58(X) ) ),
inference(miniscoping,[status(thm)],[f673]) ).
fof(f677,plain,
! [X0] :
( ~ cC56(X0)
| ~ cC34(X0)
| cC58(X0) ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f795,plain,
! [X] :
( ( ~ cC76xcomp(X)
| ~ cC78xcomp(X)
| cC80(X) )
& ( ( cC76xcomp(X)
& cC78xcomp(X) )
| ~ cC80(X) ) ),
inference(NNF_transformation,[status(thm)],[f118]) ).
fof(f796,plain,
( ! [X] :
( ~ cC76xcomp(X)
| ~ cC78xcomp(X)
| cC80(X) )
& ! [X] :
( ( cC76xcomp(X)
& cC78xcomp(X) )
| ~ cC80(X) ) ),
inference(miniscoping,[status(thm)],[f795]) ).
fof(f799,plain,
! [X0] :
( ~ cC76xcomp(X0)
| ~ cC78xcomp(X0)
| cC80(X0) ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f849,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC16(X)
| cC88(X) )
& ( ( cC2(X)
& cC16(X) )
| ~ cC88(X) ) ),
inference(NNF_transformation,[status(thm)],[f128]) ).
fof(f850,plain,
( ! [X] :
( ~ cC2(X)
| ~ cC16(X)
| cC88(X) )
& ! [X] :
( ( cC2(X)
& cC16(X) )
| ~ cC88(X) ) ),
inference(miniscoping,[status(thm)],[f849]) ).
fof(f853,plain,
! [X0] :
( ~ cC2(X0)
| ~ cC16(X0)
| cC88(X0) ),
inference(cnf_transformation,[status(thm)],[f850]) ).
fof(f898,plain,
! [X] :
( ( ~ cC92xcomp(X)
| ~ cC86xcomp(X)
| cC94(X) )
& ( ( cC92xcomp(X)
& cC86xcomp(X) )
| ~ cC94(X) ) ),
inference(NNF_transformation,[status(thm)],[f137]) ).
fof(f899,plain,
( ! [X] :
( ~ cC92xcomp(X)
| ~ cC86xcomp(X)
| cC94(X) )
& ! [X] :
( ( cC92xcomp(X)
& cC86xcomp(X) )
| ~ cC94(X) ) ),
inference(miniscoping,[status(thm)],[f898]) ).
fof(f902,plain,
! [X0] :
( ~ cC92xcomp(X0)
| ~ cC86xcomp(X0)
| cC94(X0) ),
inference(cnf_transformation,[status(thm)],[f899]) ).
fof(f951,plain,
cC16(iV822576),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f952,plain,
cC102xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f953,plain,
cC108xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f954,plain,
cC4(iV822576),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f956,plain,
cC112xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f957,plain,
cC76xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f958,plain,
cC96xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f964,plain,
cC78xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f967,plain,
cC134xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f968,plain,
cC86xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f969,plain,
cC34(iV822576),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f973,plain,
cC2(iV822576),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f975,plain,
cC10xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f976,plain,
cC92xcomp(iV822576),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f977,plain,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f171]) ).
fof(f978,plain,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f977]) ).
fof(f979,plain,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f978]) ).
fof(f980,plain,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ( ( xsd_integer(sK93_skl)
| ~ xsd_string(sK93_skl) )
& ( ~ xsd_integer(sK93_skl)
| xsd_string(sK93_skl) ) )
| cowlNothing(sK92_skl)
| ~ cowlThing(sK91_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91_skl,sK92_skl,sK93_skl]),skolemize(X,sK91_skl),skolemize(X,sK92_skl),skolemize(X,sK93_skl)],[f979]) ).
fof(f981,plain,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ xsd_integer(sK93_skl)
| xsd_string(sK93_skl)
| cowlNothing(sK92_skl)
| ~ cowlThing(sK91_skl) ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f982,plain,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| xsd_integer(sK93_skl)
| ~ xsd_string(sK93_skl)
| cowlNothing(sK92_skl)
| ~ cowlThing(sK91_skl) ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ0_spl
<=> cowlThing(sK91_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( sQ0_spl
| ~ cowlThing(sK91_skl) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ1_spl
<=> cowlNothing(sK92_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ1_spl
| cowlNothing(sK92_skl) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,definition,
( sQ2_spl
<=> xsd_string(sK93_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ2_spl
| xsd_string(sK93_skl) ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,definition,
( sQ3_spl
<=> xsd_integer(sK93_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ3_spl
| xsd_integer(sK93_skl) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f994,plain,
( sQ3_spl
| ~ xsd_integer(sK93_skl) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
( sQ4_spl
<=> cC58(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f998,definition,
( sQ5_spl
<=> cC116(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ5_spl
| cC116(iV822576) ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1001,definition,
( sQ6_spl
<=> cC114(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1002,plain,
( ~ sQ6_spl
| cC114(iV822576) ),
inference(component_clause,[status(thm)],[f1001]) ).
fof(f1004,definition,
( sQ7_spl
<=> cowlThing(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( sQ7_spl
| ~ cowlThing(iV822576) ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ8_spl
<=> cC94(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1010,definition,
( sQ9_spl
<=> cC80(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1013,definition,
( sQ10_spl
<=> cC110(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1016,definition,
( sQ11_spl
<=> cC136(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1019,definition,
( sQ12_spl
<=> cC56(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( ~ sQ12_spl
| cC56(iV822576) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f981,f983,f986,f989,f992,f995,f998,f1001,f1004,f1007,f1010,f1013,f1016,f1019]) ).
fof(f1023,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f982,f983,f986,f989,f992,f995,f998,f1001,f1004,f1007,f1010,f1013,f1016,f1019]) ).
fof(f1026,plain,
( ~ cC4(iV822576)
| cC56(iV822576) ),
inference(resolution,[status(thm)],[f975,f672]) ).
fof(f1028,definition,
( sQ13_spl
<=> cC4(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( sQ13_spl
| ~ cC4(iV822576) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( ~ sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1026,f1019,f1028]) ).
fof(f1032,plain,
( ~ sQ12_spl
| ~ cC34(iV822576)
| cC58(iV822576) ),
inference(resolution,[status(thm)],[f1020,f677]) ).
fof(f1035,definition,
( sQ14_spl
<=> cC34(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( sQ14_spl
| ~ cC34(iV822576) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1032,f995,f1035,f1019]) ).
fof(f1045,plain,
( ~ cC34(iV822576)
| cC104(iV822576) ),
inference(resolution,[status(thm)],[f227,f954]) ).
fof(f1047,definition,
( sQ15_spl
<=> cC104(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ14_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1045,f1047,f1035]) ).
fof(f1051,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1037,f969]) ).
fof(f1052,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1051]) ).
fof(f1053,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f954]) ).
fof(f1054,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f1053]) ).
fof(f1064,plain,
( ~ cC102xcomp(iV822576)
| cC110(iV822576) ),
inference(resolution,[status(thm)],[f254,f953]) ).
fof(f1065,definition,
( sQ16_spl
<=> cC102xcomp(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( sQ16_spl
| ~ cC102xcomp(iV822576) ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( ~ sQ16_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1064,f1013,f1065]) ).
fof(f1076,plain,
( ~ cC96xcomp(iV822576)
| cC114(iV822576) ),
inference(resolution,[status(thm)],[f286,f956]) ).
fof(f1077,definition,
( sQ17_spl
<=> cC96xcomp(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( sQ17_spl
| ~ cC96xcomp(iV822576) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( ~ sQ17_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1076,f1001,f1077]) ).
fof(f1081,plain,
( ~ cC4(iV822576)
| cC118(iV822576) ),
inference(resolution,[status(thm)],[f296,f975]) ).
fof(f1082,definition,
( sQ18_spl
<=> cC118(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ18_spl
| cC118(iV822576) ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,plain,
( ~ sQ13_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1081,f1082,f1028]) ).
fof(f1087,plain,
( ~ sQ6_spl
| ~ cC80(iV822576)
| cC116(iV822576) ),
inference(resolution,[status(thm)],[f1002,f291]) ).
fof(f1088,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1087,f998,f1010,f1001]) ).
fof(f1097,plain,
( ~ sQ18_spl
| ~ cC34(iV822576)
| cC120(iV822576) ),
inference(resolution,[status(thm)],[f317,f1083]) ).
fof(f1098,definition,
( sQ19_spl
<=> cC120(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
( ~ sQ18_spl
| ~ sQ14_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1097,f1098,f1035,f1082]) ).
fof(f1142,plain,
( ~ cC2(iV822576)
| cC24(iV822576) ),
inference(resolution,[status(thm)],[f495,f951]) ).
fof(f1143,definition,
( sQ20_spl
<=> cC24(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1146,definition,
( sQ21_spl
<=> cC2(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( sQ21_spl
| ~ cC2(iV822576) ),
inference(component_clause,[status(thm)],[f1146]) ).
fof(f1149,plain,
( ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1142,f1143,f1146]) ).
fof(f1215,plain,
( ~ cC76xcomp(iV822576)
| cC80(iV822576) ),
inference(resolution,[status(thm)],[f799,f964]) ).
fof(f1218,definition,
( sQ22_spl
<=> cC76xcomp(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( sQ22_spl
| ~ cC76xcomp(iV822576) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,plain,
( ~ sQ22_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1215,f1010,f1218]) ).
fof(f1222,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f958]) ).
fof(f1223,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f957]) ).
fof(f1225,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1230,plain,
( ~ sQ5_spl
| ~ cC134xcomp(iV822576)
| cC136(iV822576) ),
inference(resolution,[status(thm)],[f999,f398]) ).
fof(f1232,definition,
( sQ23_spl
<=> cC134xcomp(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( sQ23_spl
| ~ cC134xcomp(iV822576) ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1230,f1016,f1232,f998]) ).
fof(f1247,plain,
( ~ cC2(iV822576)
| cC88(iV822576) ),
inference(resolution,[status(thm)],[f853,f951]) ).
fof(f1248,definition,
( sQ24_spl
<=> cC88(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( ~ sQ21_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1247,f1248,f1146]) ).
fof(f1252,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f973]) ).
fof(f1253,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1266,plain,
( ~ cC86xcomp(iV822576)
| cC94(iV822576) ),
inference(resolution,[status(thm)],[f902,f976]) ).
fof(f1267,definition,
( sQ25_spl
<=> cC86xcomp(iV822576) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
( sQ25_spl
| ~ cC86xcomp(iV822576) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( ~ sQ25_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1266,f1007,f1267]) ).
fof(f1271,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1006,f173]) ).
fof(f1272,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f174]) ).
fof(f1274,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f985,f173]) ).
fof(f1276,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1279,plain,
( ~ sQ3_spl
| ~ xsd_string(sK93_skl) ),
inference(resolution,[status(thm)],[f993,f177]) ).
fof(f1280,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f990]) ).
fof(f1281,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(f1282,plain,
( sQ3_spl
| xsd_string(sK93_skl) ),
inference(resolution,[status(thm)],[f994,f178]) ).
fof(f1283,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1282,f989,f992]) ).
fof(f1284,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f968]) ).
fof(f1285,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1284]) ).
fof(f1286,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f952]) ).
fof(f1287,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1286]) ).
fof(f1288,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f967]) ).
fof(f1289,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
$false,
inference(sat_refutation,[status(thm)],[f1022,f1023,f1031,f1038,f1050,f1052,f1054,f1068,f1080,f1085,f1088,f1101,f1149,f1221,f1223,f1225,f1235,f1251,f1253,f1270,f1272,f1274,f1276,f1281,f1283,f1285,f1287,f1289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 22:55:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.059424 seconds
% 0.14/0.43 % CPU time: 0.173713 seconds
% 0.14/0.43 % Total memory used: 32.113 MB
% 0.14/0.43 % Net memory used: 31.995 MB
%------------------------------------------------------------------------------