%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS131+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 : n014.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 07:45:13 AM UTC 2026
% Result : Theorem 10.29s 2.89s
% Output : CNFRefutation 10.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 4 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 166 ( 63 ~; 85 |; 8 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 36 ( 5 sgn 13 !; 3 ?)
% 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] :
( cA(X0)
<=> ? [X1] :
( cowlThing(X1)
& rq(X0,X1) ) ) ).
fof(axiom_3,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ) ).
fof(axiom_4,axiom,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ) ).
fof(axiom_5,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ) ).
fof(the_axiom,conjecture,
( ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
( cnotA(X0)
<=> ~ cA(X0) )
& ! [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(c4,plain,
( rq(X0,sK3(X0))
| ~ cA(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c6,plain,
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c7,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c8,plain,
( rp(X0,sK8(X0))
| ~ cNothing(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c9,plain,
( cNothing(X1)
| ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c10,plain,
( rq(X0,sK11(X0))
| cnotA(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c17,plain,
( ~ cowlThing(sK12)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13)
| cnotA(sK14)
| ~ cA(sK14)
| cowlNothing(sK12) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
( ~ cowlThing(sK12)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13)
| ~ cnotA(sK14)
| cA(sK14)
| cowlNothing(sK12) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c21,plain,
( ~ cowlThing(sK12)
| 'xsd$uinteger'(sK13)
| ~ 'xsd$ustring'(sK13)
| cnotA(sK14)
| ~ cA(sK14)
| cowlNothing(sK12) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c22,plain,
( cA(sK14)
| 'xsd$uinteger'(sK13)
| ~ cowlThing(sK12)
| ~ cnotA(sK14)
| ~ 'xsd$ustring'(sK13)
| cowlNothing(sK12) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ cNothing(X0)
| ~ cNothing(X0) ),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(d1,plain,
( ~ cnotA(X0)
| ~ rq(X0,X1) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( ~ cA(X0)
| ~ cnotA(X0) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( cnotA(sK14)
| ~ cA(sK14)
| ~ 'xsd$ustring'(sK13)
| 'xsd$uinteger'(sK13)
| cowlNothing(sK12) ),
inference(resolution,[status(thm)],[c0,c21]) ).
cnf(d4,plain,
( cnotA(sK14)
| ~ cA(sK14)
| ~ 'xsd$ustring'(sK13)
| 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
( ~ cnotA(sK14)
| cA(sK14)
| ~ 'xsd$ustring'(sK13)
| 'xsd$uinteger'(sK13)
| cowlNothing(sK12) ),
inference(resolution,[status(thm)],[c0,c22]) ).
cnf(d6,plain,
( ~ cnotA(sK14)
| cA(sK14)
| ~ 'xsd$ustring'(sK13)
| 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
( ~ rq(X0,X1)
| cA(X0) ),
inference(resolution,[status(thm)],[c0,c6]) ).
cnf(d8,plain,
( cA(X0)
| cnotA(X0) ),
inference(resolution,[status(thm)],[c10,d7]) ).
cnf(d9,plain,
( cA(sK14)
| ~ 'xsd$ustring'(sK13)
| 'xsd$uinteger'(sK13)
| cA(sK14) ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( 'xsd$uinteger'(sK13)
| cA(sK14)
| 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
( ~ cnotA(sK14)
| cA(sK14)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13)
| cowlNothing(sK12) ),
inference(resolution,[status(thm)],[c0,c18]) ).
cnf(d12,plain,
( ~ cnotA(sK14)
| cA(sK14)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[c1,d11]) ).
cnf(d13,plain,
( cA(sK14)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13)
| cA(sK14) ),
inference(resolution,[status(thm)],[d8,d12]) ).
cnf(d14,plain,
( cA(sK14)
| 'xsd$ustring'(sK13)
| cA(sK14) ),
inference(resolution,[status(thm)],[d10,d13]) ).
cnf(d15,plain,
( ~ 'xsd$uinteger'(sK13)
| cA(sK14) ),
inference(resolution,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
( cA(sK14)
| cA(sK14) ),
inference(resolution,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
( cnotA(sK14)
| ~ 'xsd$ustring'(sK13)
| 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[d16,d4]) ).
cnf(d18,plain,
( 'xsd$uinteger'(sK13)
| cnotA(sK14)
| 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[d17,c3]) ).
cnf(d19,plain,
( cnotA(sK14)
| ~ cA(sK14)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13)
| cowlNothing(sK12) ),
inference(resolution,[status(thm)],[c0,c17]) ).
cnf(d20,plain,
( cnotA(sK14)
| ~ cA(sK14)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[c1,d19]) ).
cnf(d21,plain,
( cnotA(sK14)
| 'xsd$ustring'(sK13)
| ~ 'xsd$uinteger'(sK13) ),
inference(resolution,[status(thm)],[d16,d20]) ).
cnf(d22,plain,
( cnotA(sK14)
| 'xsd$ustring'(sK13)
| cnotA(sK14) ),
inference(resolution,[status(thm)],[d18,d21]) ).
cnf(d23,plain,
( ~ 'xsd$uinteger'(sK13)
| cnotA(sK14) ),
inference(resolution,[status(thm)],[d22,c2]) ).
cnf(d24,plain,
( cnotA(sK14)
| cnotA(sK14) ),
inference(resolution,[status(thm)],[d23,d18]) ).
cnf(d25,plain,
~ cA(sK14),
inference(resolution,[status(thm)],[d24,d2]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[d16,d25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS131+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 19:40:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.29/2.89 % SZS status Theorem for theBenchmark.p
% 10.29/2.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------