%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS171+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 : n011.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 11.55s 2.41s
% Output : CNFRefutation 11.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 146 ( 55 ~; 77 |; 7 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 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_2,axiom,
! [X0,X1] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ) ).
fof(axiom_3,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ) ).
fof(the_axiom,conjecture,
( ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) )
& ! [X0] :
( 'xsd$ustring'(X0)
<=> ~ 'xsd$uinteger'(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) )
& ! [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,
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c11,plain,
( ~ cowlThing(sK6)
| rhasHead(sK8,sK9)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK6)
| rhasLeader(sK8,sK9)
| 'xsd$ustring'(sK7) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( ~ cowlThing(sK6)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK6)
| ~ rhasLeader(sK8,sK9)
| ~ rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
( 'xsd$uinteger'(sK7)
| ~ 'xsd$ustring'(sK7)
| rhasHead(sK8,sK9)
| ~ cowlThing(sK6)
| cowlNothing(sK6)
| rhasLeader(sK8,sK9) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
( 'xsd$uinteger'(sK7)
| ~ 'xsd$ustring'(sK7)
| ~ cowlThing(sK6)
| cowlNothing(sK6)
| ~ rhasLeader(sK8,sK9)
| ~ rhasHead(sK8,sK9) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( rhasLeader(sK8,sK9)
| rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK6) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(d1,plain,
( rhasLeader(sK8,sK9)
| rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| rhasHead(sK8,sK9) ),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
( ~ rhasLeader(sK8,sK9)
| ~ rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| cowlNothing(sK6) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(d4,plain,
( ~ rhasLeader(sK8,sK9)
| ~ rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
( rhasLeader(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d6,plain,
( ~ rhasHead(sK8,sK9)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7)
| 'xsd$ustring'(sK7)
| ~ 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( rhasLeader(sK8,sK9)
| rhasHead(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| cowlNothing(sK6) ),
inference(resolution,[status(thm)],[c0,c15]) ).
cnf(d9,plain,
( rhasLeader(sK8,sK9)
| rhasHead(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[c1,d8]) ).
cnf(d10,plain,
( rhasHead(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| rhasHead(sK8,sK9) ),
inference(resolution,[status(thm)],[c5,d9]) ).
cnf(d11,plain,
( ~ rhasLeader(sK8,sK9)
| ~ rhasHead(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| cowlNothing(sK6) ),
inference(resolution,[status(thm)],[c0,c16]) ).
cnf(d12,plain,
( ~ rhasLeader(sK8,sK9)
| ~ rhasHead(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[c1,d11]) ).
cnf(d13,plain,
( rhasLeader(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d10,c4]) ).
cnf(d14,plain,
( ~ rhasHead(sK8,sK9)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
( ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7)
| ~ 'xsd$ustring'(sK7)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( 'xsd$uinteger'(sK7)
| 'xsd$uinteger'(sK7) ),
inference(resolution,[status(thm)],[d15,c3]) ).
cnf(d17,plain,
'xsd$ustring'(sK7),
inference(resolution,[status(thm)],[d16,d7]) ).
cnf(d18,plain,
~ 'xsd$uinteger'(sK7),
inference(resolution,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d16,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS171+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Fri Sep 25 19:42:14 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.55/2.41 % SZS status Theorem for theBenchmark.p
% 11.55/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------