%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU034+1 : 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 : n015.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 08:40:47 AM UTC 2026
% Result : Theorem 29.93s 4.25s
% Output : CNFRefutation 29.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 150 ( 42 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 206 ( 98 ~; 89 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 3 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function('function$uinverse'(X0))
& relation('function$uinverse'(X0)) ) ) ).
fof(dt_k6_relat_1,axiom,
! [X0] : relation('identity$urelation'(X0)) ).
fof(fc2_funct_1,axiom,
! [X0] :
( function('identity$urelation'(X0))
& relation('identity$urelation'(X0)) ) ).
fof(t44_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( 'relation$ucomposition'(X0,X1) = X0
& 'relation$urng'(X0) = 'relation$udom'(X1) )
=> X1 = 'identity$urelation'('relation$udom'(X1)) ) ) ) ).
fof(t52_funct_1,axiom,
! [X0] : 'one$uto$uone'('identity$urelation'(X0)) ).
fof(t55_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))
& 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0)) ) ) ) ).
fof(t61_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0))
& 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0)) ) ) ) ).
fof(t71_relat_1,axiom,
! [X0] :
( 'relation$urng'('identity$urelation'(X0)) = X0
& 'relation$udom'('identity$urelation'(X0)) = X0 ) ).
fof(t67_funct_1,conjecture,
! [X0] : 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'(X0) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'(X0),
inference(negate_conjecture,[status(cth)],[t67_funct_1]) ).
cnf(c6,plain,
( relation('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c7,plain,
( function('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c9,plain,
relation('identity$urelation'(X0)),
inference(clausification,[status(esa)],[dt_k6_relat_1]) ).
cnf(c21,plain,
function('identity$urelation'(X0)),
inference(clausification,[status(esa)],[fc2_funct_1]) ).
cnf(c57,plain,
( X0 = 'identity$urelation'('relation$udom'(X0))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| 'relation$ucomposition'(X1,X0) != X1
| 'relation$urng'(X1) != 'relation$udom'(X0)
| ~ function(X0) ),
inference(clausification,[status(esa)],[t44_funct_1]) ).
cnf(c59,plain,
'one$uto$uone'('identity$urelation'(X0)),
inference(clausification,[status(esa)],[t52_funct_1]) ).
cnf(c60,plain,
( 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t55_funct_1]) ).
cnf(c63,plain,
( 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t61_funct_1]) ).
cnf(c66,plain,
'relation$udom'('identity$urelation'(X0)) = X0,
inference(clausification,[status(esa)],[t71_relat_1]) ).
cnf(c67,plain,
'relation$urng'('identity$urelation'(X0)) = X0,
inference(clausification,[status(esa)],[t71_relat_1]) ).
cnf(c70,plain,
'function$uinverse'('identity$urelation'(sK60)) != 'identity$urelation'(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X1)
| ~ function('function$uinverse'(X0))
| ~ function(X1)
| 'relation$ucomposition'(X1,'function$uinverse'(X0)) != X1
| 'function$uinverse'(X0) = 'identity$urelation'('relation$udom'('function$uinverse'(X0)))
| 'relation$urng'(X1) != 'relation$urng'(X0) ),
inference(superposition,[status(thm)],[c60,c57]) ).
cnf(d1,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ 'one$uto$uone'(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X0)
| ~ relation(X0)
| ~ function('function$uinverse'(X0))
| ~ function(X0)
| ~ function(X0)
| 'relation$urng'(X0) != 'relation$urng'(X0)
| 'function$uinverse'(X0) = 'identity$urelation'('relation$udom'('function$uinverse'(X0)))
| 'identity$urelation'('relation$udom'(X0)) != X0 ),
inference(superposition,[status(thm)],[c63,d0]) ).
cnf(d2,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X0)
| ~ function('function$uinverse'(X0))
| ~ function(X0)
| 'identity$urelation'('relation$udom'(X0)) != X0
| 'function$uinverse'(X0) = 'identity$urelation'('relation$udom'('function$uinverse'(X0))) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ relation('identity$urelation'(X0))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| ~ function('identity$urelation'(X0))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'('relation$udom'('function$uinverse'('identity$urelation'(X0))))
| 'identity$urelation'(X0) != 'identity$urelation'(X0) ),
inference(superposition,[status(thm)],[c66,d2]) ).
cnf(d4,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('identity$urelation'(X0))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'identity$urelation'(X0) != 'identity$urelation'(X0)
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'('relation$udom'('function$uinverse'('identity$urelation'(X0)))) ),
inference(resolution,[status(thm)],[c9,d3]) ).
cnf(d5,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'identity$urelation'(X0) != 'identity$urelation'(X0)
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'('relation$udom'('function$uinverse'('identity$urelation'(X0)))) ),
inference(resolution,[status(thm)],[c21,d4]) ).
cnf(d6,plain,
( ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'identity$urelation'(X0) != 'identity$urelation'(X0)
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'('relation$udom'('function$uinverse'('identity$urelation'(X0)))) ),
inference(resolution,[status(thm)],[c59,d5]) ).
cnf(d7,plain,
( ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'('relation$udom'('function$uinverse'('identity$urelation'(X0)))) ),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('identity$urelation'(X0))
| ~ function('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'('relation$urng'('identity$urelation'(X0))) ),
inference(superposition,[status(thm)],[c60,d7]) ).
cnf(d9,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('identity$urelation'(X0))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'(X0) ),
inference(demodulation,[status(thm)],[d8,c67]) ).
cnf(d10,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('identity$urelation'(X0))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'(X0) ),
inference(resolution,[status(thm)],[c9,d9]) ).
cnf(d11,plain,
( ~ 'one$uto$uone'('identity$urelation'(X0))
| ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'(X0) ),
inference(resolution,[status(thm)],[c21,d10]) ).
cnf(d12,plain,
( ~ relation('function$uinverse'('identity$urelation'(X0)))
| ~ function('function$uinverse'('identity$urelation'(X0)))
| 'function$uinverse'('identity$urelation'(X0)) = 'identity$urelation'(X0) ),
inference(resolution,[status(thm)],[c59,d11]) ).
cnf(d13,plain,
( ~ relation('function$uinverse'('identity$urelation'(sK60)))
| ~ function('function$uinverse'('identity$urelation'(sK60)))
| 'identity$urelation'(sK60) != 'identity$urelation'(sK60) ),
inference(superposition,[status(thm)],[d12,c70]) ).
cnf(d14,plain,
( ~ relation('function$uinverse'('identity$urelation'(sK60)))
| ~ function('function$uinverse'('identity$urelation'(sK60))) ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
( ~ relation('identity$urelation'(sK60))
| ~ function('identity$urelation'(sK60))
| ~ function('function$uinverse'('identity$urelation'(sK60))) ),
inference(resolution,[status(thm)],[d14,c6]) ).
cnf(d16,plain,
( ~ function('identity$urelation'(sK60))
| ~ function('function$uinverse'('identity$urelation'(sK60))) ),
inference(resolution,[status(thm)],[c9,d15]) ).
cnf(d17,plain,
~ function('function$uinverse'('identity$urelation'(sK60))),
inference(resolution,[status(thm)],[c21,d16]) ).
cnf(d18,plain,
( ~ relation('identity$urelation'(sK60))
| ~ function('identity$urelation'(sK60)) ),
inference(resolution,[status(thm)],[d17,c7]) ).
cnf(d19,plain,
~ function('identity$urelation'(sK60)),
inference(resolution,[status(thm)],[c9,d18]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[c21,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU034+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 08:35:29 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.93/4.25 % SZS status Theorem for theBenchmark.p
% 29.93/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------