%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 07:45:16 AM UTC 2026
% Result : Theorem 18.76s 9.62s
% Output : CNFRefutation 18.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 37 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 412 ( 187 ~; 183 |; 31 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_1,axiom,
! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) ) ).
fof(axiom_15,axiom,
! [X0] :
( cC110(X0)
<=> ( cC108xcomp(X0)
& cC102xcomp(X0) ) ) ).
fof(axiom_21,axiom,
! [X0] :
( cC114(X0)
<=> ( cC96xcomp(X0)
& cC112xcomp(X0) ) ) ).
fof(axiom_22,axiom,
! [X0] :
( cC116(X0)
<=> ( cC80(X0)
& cC114(X0) ) ) ).
fof(axiom_42,axiom,
! [X0] :
( cC136(X0)
<=> ( cC116(X0)
& cC134xcomp(X0) ) ) ).
fof(axiom_93,axiom,
! [X0] :
( cC56(X0)
<=> ( cC10xcomp(X0)
& cC4(X0) ) ) ).
fof(axiom_94,axiom,
! [X0] :
( cC58(X0)
<=> ( cC56(X0)
& cC34(X0) ) ) ).
fof(axiom_117,axiom,
! [X0] :
( cC80(X0)
<=> ( cC76xcomp(X0)
& cC78xcomp(X0) ) ) ).
fof(axiom_136,axiom,
! [X0] :
( cC94(X0)
<=> ( cC92xcomp(X0)
& cC86xcomp(X0) ) ) ).
fof(axiom_147,axiom,
cC102xcomp(iV822576) ).
fof(axiom_148,axiom,
cC108xcomp(iV822576) ).
fof(axiom_149,axiom,
cC4(iV822576) ).
fof(axiom_151,axiom,
cC112xcomp(iV822576) ).
fof(axiom_152,axiom,
cC76xcomp(iV822576) ).
fof(axiom_153,axiom,
cC96xcomp(iV822576) ).
fof(axiom_158,axiom,
cC78xcomp(iV822576) ).
fof(axiom_160,axiom,
cC134xcomp(iV822576) ).
fof(axiom_161,axiom,
cC86xcomp(iV822576) ).
fof(axiom_162,axiom,
cC34(iV822576) ).
fof(axiom_167,axiom,
cC10xcomp(iV822576) ).
fof(axiom_168,axiom,
cC92xcomp(iV822576) ).
fof(the_axiom,conjecture,
( cC56(iV822576)
& cC136(iV822576)
& cC110(iV822576)
& cC80(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( cC56(iV822576)
& cC136(iV822576)
& cC110(iV822576)
& cC80(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(c0,plain,
cowlThing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c2,plain,
( ~ 'xsd$uinteger'(X0)
| ~ 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c3,plain,
( 'xsd$uinteger'(X0)
| 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c37,plain,
( ~ cC108xcomp(X0)
| ~ cC102xcomp(X0)
| cC110(X0) ),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c51,plain,
( ~ cC96xcomp(X0)
| ~ cC112xcomp(X0)
| cC114(X0) ),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c54,plain,
( ~ cC80(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(clausification,[status(esa)],[axiom_22]) ).
cnf(c105,plain,
( ~ cC116(X0)
| ~ cC134xcomp(X0)
| cC136(X0) ),
inference(clausification,[status(esa)],[axiom_42]) ).
cnf(c229,plain,
( ~ cC10xcomp(X0)
| ~ cC4(X0)
| cC56(X0) ),
inference(clausification,[status(esa)],[axiom_93]) ).
cnf(c232,plain,
( ~ cC56(X0)
| ~ cC34(X0)
| cC58(X0) ),
inference(clausification,[status(esa)],[axiom_94]) ).
cnf(c291,plain,
( ~ cC76xcomp(X0)
| ~ cC78xcomp(X0)
| cC80(X0) ),
inference(clausification,[status(esa)],[axiom_117]) ).
cnf(c336,plain,
( ~ cC92xcomp(X0)
| ~ cC86xcomp(X0)
| cC94(X0) ),
inference(clausification,[status(esa)],[axiom_136]) ).
cnf(c359,plain,
cC102xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_147]) ).
cnf(c360,plain,
cC108xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_148]) ).
cnf(c361,plain,
cC4(iV822576),
inference(clausification,[status(esa)],[axiom_149]) ).
cnf(c363,plain,
cC112xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_151]) ).
cnf(c364,plain,
cC76xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_152]) ).
cnf(c365,plain,
cC96xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_153]) ).
cnf(c370,plain,
cC78xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_158]) ).
cnf(c372,plain,
cC134xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_160]) ).
cnf(c373,plain,
cC86xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_161]) ).
cnf(c374,plain,
cC34(iV822576),
inference(clausification,[status(esa)],[axiom_162]) ).
cnf(c379,plain,
cC10xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_167]) ).
cnf(c380,plain,
cC92xcomp(iV822576),
inference(clausification,[status(esa)],[axiom_168]) ).
cnf(c382,plain,
( 'xsd$ustring'(sK332)
| ~ cC136(iV822576)
| ~ 'xsd$uinteger'(sK332)
| ~ cowlThing(sK331)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cowlThing(iV822576)
| cowlNothing(sK331)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC58(iV822576)
| ~ cC110(iV822576) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c383,plain,
( 'xsd$uinteger'(sK332)
| cowlNothing(sK331)
| ~ cowlThing(sK331)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cowlThing(iV822576)
| ~ cC136(iV822576)
| ~ 'xsd$ustring'(sK332)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC58(iV822576)
| ~ cC110(iV822576) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332)
| cowlNothing(sK331)
| ~ cowlThing(sK331) ),
inference(resolution,[status(thm)],[c0,c382]) ).
cnf(d1,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332)
| ~ cowlThing(sK331) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( cC110(iV822576)
| ~ cC102xcomp(iV822576) ),
inference(resolution,[status(thm)],[c37,c360]) ).
cnf(d3,plain,
cC110(iV822576),
inference(resolution,[status(thm)],[c359,d2]) ).
cnf(d4,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332)
| ~ cowlThing(sK331) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( cC114(iV822576)
| ~ cC112xcomp(iV822576) ),
inference(resolution,[status(thm)],[c51,c365]) ).
cnf(d7,plain,
cC114(iV822576),
inference(resolution,[status(thm)],[c363,d6]) ).
cnf(d8,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( cC56(iV822576)
| ~ cC10xcomp(iV822576) ),
inference(resolution,[status(thm)],[c229,c361]) ).
cnf(d10,plain,
cC56(iV822576),
inference(resolution,[status(thm)],[c379,d9]) ).
cnf(d11,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ cC76xcomp(iV822576)
| cC80(iV822576) ),
inference(resolution,[status(thm)],[c291,c370]) ).
cnf(d13,plain,
cC80(iV822576),
inference(resolution,[status(thm)],[c364,d12]) ).
cnf(d14,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( cC58(iV822576)
| ~ cC34(iV822576) ),
inference(resolution,[status(thm)],[d10,c232]) ).
cnf(d16,plain,
cC58(iV822576),
inference(resolution,[status(thm)],[c374,d15]) ).
cnf(d17,plain,
( ~ cC94(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
( cC116(iV822576)
| ~ cC114(iV822576) ),
inference(resolution,[status(thm)],[d13,c54]) ).
cnf(d19,plain,
cC116(iV822576),
inference(resolution,[status(thm)],[d7,d18]) ).
cnf(d20,plain,
( ~ cC94(iV822576)
| ~ cC136(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
( cC136(iV822576)
| ~ cC116(iV822576) ),
inference(resolution,[status(thm)],[c105,c372]) ).
cnf(d22,plain,
cC136(iV822576),
inference(resolution,[status(thm)],[d19,d21]) ).
cnf(d23,plain,
( ~ cC94(iV822576)
| 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
( cC94(iV822576)
| ~ cC86xcomp(iV822576) ),
inference(resolution,[status(thm)],[c336,c380]) ).
cnf(d25,plain,
cC94(iV822576),
inference(resolution,[status(thm)],[c373,d24]) ).
cnf(d26,plain,
( 'xsd$ustring'(sK332)
| ~ 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332)
| cowlNothing(sK331)
| ~ cowlThing(sK331) ),
inference(resolution,[status(thm)],[c0,c383]) ).
cnf(d28,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332)
| ~ cowlThing(sK331) ),
inference(resolution,[status(thm)],[c1,d27]) ).
cnf(d29,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332)
| ~ cowlThing(sK331) ),
inference(resolution,[status(thm)],[d3,d28]) ).
cnf(d30,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[c0,d29]) ).
cnf(d31,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d7,d30]) ).
cnf(d32,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d10,d31]) ).
cnf(d33,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d13,d32]) ).
cnf(d34,plain,
( ~ cC94(iV822576)
| ~ cC136(iV822576)
| ~ cC116(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d16,d33]) ).
cnf(d35,plain,
( ~ cC94(iV822576)
| ~ cC136(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d19,d34]) ).
cnf(d36,plain,
( ~ cC94(iV822576)
| ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d22,d35]) ).
cnf(d37,plain,
( ~ 'xsd$ustring'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d25,d36]) ).
cnf(d38,plain,
( 'xsd$uinteger'(sK332)
| 'xsd$uinteger'(sK332) ),
inference(resolution,[status(thm)],[d37,c3]) ).
cnf(d39,plain,
'xsd$ustring'(sK332),
inference(resolution,[status(thm)],[d38,d26]) ).
cnf(d40,plain,
~ 'xsd$uinteger'(sK332),
inference(resolution,[status(thm)],[d39,c2]) ).
cnf(d41,plain,
$false,
inference(resolution,[status(thm)],[d38,d40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n004.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 19:41:28 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.76/9.62 % SZS status Theorem for theBenchmark.p
% 18.76/9.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------