%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU062+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:40:49 AM UTC 2026
% Result : Theorem 11.67s 1.87s
% Output : CNFRefutation 11.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 36 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 9 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(t142_funct_1,axiom,
! [X0,X1] :
( relation(X1)
=> ( in(X0,'relation$urng'(X1))
<=> 'relation$uinverse$uimage'(X1,singleton(X0)) != 'empty$uset' ) ) ).
fof(t143_funct_1,conjecture,
! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( 'relation$uinverse$uimage'(X1,singleton(X2)) = 'empty$uset'
& in(X2,X0) )
=> subset(X0,'relation$urng'(X1)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( ! [X2] :
~ ( 'relation$uinverse$uimage'(X1,singleton(X2)) = 'empty$uset'
& in(X2,X0) )
=> subset(X0,'relation$urng'(X1)) ) ),
inference(negate_conjecture,[status(cth)],[t143_funct_1]) ).
cnf(c7,plain,
( in(sK8(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c8,plain,
( ~ in(sK8(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c43,plain,
( 'relation$uinverse$uimage'(X0,singleton(X1)) = 'empty$uset'
| in(X1,'relation$urng'(X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t142_funct_1]) ).
cnf(c53,plain,
relation(sK49),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
( 'relation$uinverse$uimage'(sK49,singleton(X0)) != 'empty$uset'
| ~ in(X0,sK48) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c55,plain,
~ subset(sK48,'relation$urng'(sK49)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( subset(X1,'relation$urng'(X0))
| ~ relation(X0)
| 'relation$uinverse$uimage'(X0,singleton(sK8(X1,'relation$urng'(X0)))) = 'empty$uset' ),
inference(resolution,[status(thm)],[c43,c8]) ).
cnf(d1,plain,
( ~ relation(sK49)
| 'relation$uinverse$uimage'(sK49,singleton(sK8(sK48,'relation$urng'(sK49)))) = 'empty$uset' ),
inference(resolution,[status(thm)],[d0,c55]) ).
cnf(d2,plain,
'relation$uinverse$uimage'(sK49,singleton(sK8(sK48,'relation$urng'(sK49)))) = 'empty$uset',
inference(resolution,[status(thm)],[c53,d1]) ).
cnf(d3,plain,
( ~ in(sK8(sK48,'relation$urng'(sK49)),sK48)
| 'empty$uset' != 'empty$uset' ),
inference(superposition,[status(thm)],[d2,c54]) ).
cnf(d4,plain,
~ in(sK8(sK48,'relation$urng'(sK49)),sK48),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
subset(sK48,'relation$urng'(sK49)),
inference(resolution,[status(thm)],[d4,c7]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c55,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU062+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:33:42 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.67/1.87 % SZS status Theorem for theBenchmark.p
% 11.67/1.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------