%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 07:45:18 AM UTC 2026
% Result : Theorem 11.11s 2.03s
% Output : CNFRefutation 11.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 4 unt; 0 def)
% Number of atoms : 219 ( 23 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 241 ( 86 ~; 135 |; 9 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 44 ( 4 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_1,axiom,
! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) ) ).
fof(axiom_2,axiom,
! [X0] :
( cd(X0)
<=> rq(X0,iv) ) ).
fof(axiom_3,axiom,
! [X0] :
( cd(X0)
<=> rp(X0,iv) ) ).
fof(axiom_4,axiom,
! [X0,X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 ) ).
fof(axiom_5,axiom,
! [X0,X1] :
( rp(X0,X1)
=> cd(X0) ) ).
fof(axiom_6,axiom,
! [X0,X1,X2] :
( ( rq(X0,X2)
& rq(X0,X1) )
=> X1 = X2 ) ).
fof(axiom_7,axiom,
! [X0,X1] :
( rq(X0,X1)
=> cd(X0) ) ).
fof(the_axiom,conjecture,
( ! [X0,X1] :
( rq(X0,X1)
<=> rp(X0,X1) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] :
( rq(X0,X1)
<=> rp(X0,X1) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(c9,plain,
cowlThing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c10,plain,
~ cowlNothing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c11,plain,
( ~ 'xsd$uinteger'(X0)
| ~ 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c12,plain,
( 'xsd$uinteger'(X0)
| 'xsd$ustring'(X0) ),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c13,plain,
( rq(X0,iv)
| ~ cd(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c15,plain,
( rp(X0,iv)
| ~ cd(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c17,plain,
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c18,plain,
( cd(X0)
| ~ rp(X0,X1) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c19,plain,
( X1 = X2
| ~ rq(X0,X2)
| ~ rq(X0,X1) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c20,plain,
( cd(X0)
| ~ rq(X0,X1) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c27,plain,
( rq(sK38,sK39)
| cowlNothing(sK36)
| ~ cowlThing(sK36)
| rp(sK38,sK39)
| ~ 'xsd$uinteger'(sK37)
| 'xsd$ustring'(sK37) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c28,plain,
( cowlNothing(sK36)
| ~ rp(sK38,sK39)
| ~ rq(sK38,sK39)
| ~ cowlThing(sK36)
| ~ 'xsd$uinteger'(sK37)
| 'xsd$ustring'(sK37) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c31,plain,
( rq(sK38,sK39)
| 'xsd$uinteger'(sK37)
| cowlNothing(sK36)
| ~ 'xsd$ustring'(sK37)
| ~ cowlThing(sK36)
| rp(sK38,sK39) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c32,plain,
( 'xsd$uinteger'(sK37)
| cowlNothing(sK36)
| ~ rp(sK38,sK39)
| ~ rq(sK38,sK39)
| ~ 'xsd$ustring'(sK37)
| ~ cowlThing(sK36) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| rq(sK38,sK39)
| rp(sK38,sK39)
| cowlNothing(sK36) ),
inference(resolution,[status(thm)],[c9,c31]) ).
cnf(d1,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| rq(sK38,sK39)
| rp(sK38,sK39) ),
inference(resolution,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| rp(sK38,sK39)
| cd(sK38) ),
inference(resolution,[status(thm)],[c20,d1]) ).
cnf(d3,plain,
( cd(sK38)
| ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| cd(sK38) ),
inference(resolution,[status(thm)],[d2,c18]) ).
cnf(d4,plain,
( 'xsd$uinteger'(sK37)
| 'xsd$uinteger'(sK37)
| cd(sK38) ),
inference(resolution,[status(thm)],[d3,c12]) ).
cnf(d5,plain,
( ~ cd(X1)
| ~ rp(X1,X0)
| X0 = iv ),
inference(resolution,[status(thm)],[c17,c15]) ).
cnf(d6,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| rp(sK38,sK39)
| ~ rq(sK38,X0)
| sK39 = X0 ),
inference(resolution,[status(thm)],[c19,d1]) ).
cnf(d7,plain,
( ~ cd(sK38)
| ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| rp(sK38,sK39)
| sK39 = iv ),
inference(resolution,[status(thm)],[d6,c13]) ).
cnf(d8,plain,
( ~ cd(sK38)
| sK39 = iv
| ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| ~ cd(sK38)
| sK39 = iv ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( 'xsd$uinteger'(sK37)
| 'xsd$uinteger'(sK37)
| ~ cd(sK38)
| sK39 = iv ),
inference(resolution,[status(thm)],[d8,c12]) ).
cnf(d10,plain,
( 'xsd$uinteger'(sK37)
| 'xsd$uinteger'(sK37)
| sK39 = iv ),
inference(resolution,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| rq(sK38,sK39)
| rp(sK38,sK39)
| cowlNothing(sK36) ),
inference(resolution,[status(thm)],[c9,c27]) ).
cnf(d12,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| rq(sK38,sK39)
| rp(sK38,sK39) ),
inference(resolution,[status(thm)],[c10,d11]) ).
cnf(d13,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| rp(sK38,sK39)
| ~ rq(sK38,X0)
| sK39 = X0 ),
inference(resolution,[status(thm)],[c19,d12]) ).
cnf(d14,plain,
( ~ cd(sK38)
| 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| rp(sK38,sK39)
| sK39 = iv ),
inference(resolution,[status(thm)],[d13,c13]) ).
cnf(d15,plain,
( ~ cd(sK38)
| sK39 = iv
| 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| ~ cd(sK38)
| sK39 = iv ),
inference(resolution,[status(thm)],[d14,d5]) ).
cnf(d16,plain,
( 'xsd$ustring'(sK37)
| ~ cd(sK38)
| sK39 = iv
| sK39 = iv ),
inference(resolution,[status(thm)],[d10,d15]) ).
cnf(d17,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| rp(sK38,sK39)
| cd(sK38) ),
inference(resolution,[status(thm)],[c20,d12]) ).
cnf(d18,plain,
( cd(sK38)
| 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| cd(sK38) ),
inference(resolution,[status(thm)],[d17,c18]) ).
cnf(d19,plain,
( 'xsd$ustring'(sK37)
| cd(sK38)
| sK39 = iv ),
inference(resolution,[status(thm)],[d10,d18]) ).
cnf(d20,plain,
( 'xsd$ustring'(sK37)
| sK39 = iv
| 'xsd$ustring'(sK37)
| sK39 = iv ),
inference(resolution,[status(thm)],[d19,d16]) ).
cnf(d21,plain,
( ~ 'xsd$uinteger'(sK37)
| sK39 = iv ),
inference(resolution,[status(thm)],[d20,c11]) ).
cnf(d22,plain,
( sK39 = iv
| sK39 = iv ),
inference(resolution,[status(thm)],[d21,d10]) ).
cnf(d23,plain,
( rp(X0,sK39)
| ~ cd(X0) ),
inference(demodulation,[status(thm)],[c15,d22]) ).
cnf(d24,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| ~ rq(sK38,sK39)
| ~ rp(sK38,sK39)
| cowlNothing(sK36) ),
inference(resolution,[status(thm)],[c9,c28]) ).
cnf(d25,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| ~ rq(sK38,sK39)
| ~ rp(sK38,sK39) ),
inference(resolution,[status(thm)],[c10,d24]) ).
cnf(d26,plain,
( rq(X0,sK39)
| ~ cd(X0) ),
inference(demodulation,[status(thm)],[c13,d22]) ).
cnf(d27,plain,
( 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| ~ rp(sK38,sK39)
| ~ cd(sK38) ),
inference(resolution,[status(thm)],[d26,d25]) ).
cnf(d28,plain,
( ~ cd(sK38)
| 'xsd$ustring'(sK37)
| ~ 'xsd$uinteger'(sK37)
| ~ cd(sK38) ),
inference(resolution,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| ~ rq(sK38,sK39)
| ~ rp(sK38,sK39)
| cowlNothing(sK36) ),
inference(resolution,[status(thm)],[c9,c32]) ).
cnf(d30,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| ~ rq(sK38,sK39)
| ~ rp(sK38,sK39) ),
inference(resolution,[status(thm)],[c10,d29]) ).
cnf(d31,plain,
( ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| ~ rp(sK38,sK39)
| ~ cd(sK38) ),
inference(resolution,[status(thm)],[d26,d30]) ).
cnf(d32,plain,
( ~ cd(sK38)
| ~ 'xsd$ustring'(sK37)
| 'xsd$uinteger'(sK37)
| ~ cd(sK38) ),
inference(resolution,[status(thm)],[d31,d23]) ).
cnf(d33,plain,
( 'xsd$uinteger'(sK37)
| 'xsd$uinteger'(sK37)
| ~ cd(sK38) ),
inference(resolution,[status(thm)],[d32,c12]) ).
cnf(d34,plain,
( 'xsd$uinteger'(sK37)
| 'xsd$uinteger'(sK37) ),
inference(resolution,[status(thm)],[d33,d4]) ).
cnf(d35,plain,
( 'xsd$ustring'(sK37)
| ~ cd(sK38) ),
inference(resolution,[status(thm)],[d34,d28]) ).
cnf(d36,plain,
( 'xsd$ustring'(sK37)
| cd(sK38) ),
inference(resolution,[status(thm)],[d34,d18]) ).
cnf(d37,plain,
( 'xsd$ustring'(sK37)
| 'xsd$ustring'(sK37) ),
inference(resolution,[status(thm)],[d36,d35]) ).
cnf(d38,plain,
~ 'xsd$uinteger'(sK37),
inference(resolution,[status(thm)],[d37,c11]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[d34,d38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.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 : Fri Sep 25 19:43:29 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.11/2.03 % SZS status Theorem for theBenchmark.p
% 11.11/2.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------