%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU219+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:41:19 AM UTC 2026
% Result : Theorem 15.96s 2.46s
% Output : CNFRefutation 15.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 44 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 11 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d9_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> 'function$uinverse'(X0) = 'relation$uinverse'(X0) ) ) ).
fof(t37_relat_1,axiom,
! [X0] :
( relation(X0)
=> ( 'relation$udom'(X0) = 'relation$urng'('relation$uinverse'(X0))
& 'relation$urng'(X0) = 'relation$udom'('relation$uinverse'(X0)) ) ) ).
fof(t55_funct_1,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))
& 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))
& 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0)) ) ) ),
inference(negate_conjecture,[status(cth)],[t55_funct_1]) ).
cnf(c6,plain,
( 'function$uinverse'(X0) = 'relation$uinverse'(X0)
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d9_funct_1]) ).
cnf(c52,plain,
( 'relation$urng'(X0) = 'relation$udom'('relation$uinverse'(X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t37_relat_1]) ).
cnf(c53,plain,
( 'relation$udom'(X0) = 'relation$urng'('relation$uinverse'(X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t37_relat_1]) ).
cnf(c61,plain,
relation(sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
function(sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c63,plain,
'one$uto$uone'(sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c64,plain,
( 'relation$udom'(sK50) != 'relation$urng'('function$uinverse'(sK50))
| 'relation$urng'(sK50) != 'relation$udom'('function$uinverse'(sK50)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'relation$udom'(sK50) = 'relation$urng'('relation$uinverse'(sK50)),
inference(resolution,[status(thm)],[c53,c61]) ).
cnf(d1,plain,
( ~ relation(sK50)
| ~ function(sK50)
| 'function$uinverse'(sK50) = 'relation$uinverse'(sK50) ),
inference(resolution,[status(thm)],[c6,c63]) ).
cnf(d2,plain,
( ~ function(sK50)
| 'function$uinverse'(sK50) = 'relation$uinverse'(sK50) ),
inference(resolution,[status(thm)],[c61,d1]) ).
cnf(d3,plain,
'function$uinverse'(sK50) = 'relation$uinverse'(sK50),
inference(resolution,[status(thm)],[c62,d2]) ).
cnf(d4,plain,
( 'relation$urng'(sK50) != 'relation$udom'('function$uinverse'(sK50))
| 'relation$udom'(sK50) != 'relation$urng'('relation$uinverse'(sK50)) ),
inference(demodulation,[status(thm)],[c64,d3]) ).
cnf(d5,plain,
( 'relation$urng'(sK50) != 'relation$udom'('relation$uinverse'(sK50))
| 'relation$udom'(sK50) != 'relation$urng'('relation$uinverse'(sK50)) ),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'relation$urng'(sK50) = 'relation$udom'('relation$uinverse'(sK50)),
inference(resolution,[status(thm)],[c52,c61]) ).
cnf(d7,plain,
'relation$udom'(sK50) != 'relation$urng'('relation$uinverse'(sK50)),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU219+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n014.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 : Sat Sep 26 08:52:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.96/2.46 % SZS status Theorem for theBenchmark.p
% 15.96/2.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------