%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU028+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 08:40:46 AM UTC 2026
% Result : Theorem 47.70s 17.54s
% Output : CNFRefutation 47.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 6 unt; 0 def)
% Number of atoms : 334 ( 69 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 519 ( 249 ~; 229 |; 23 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function('function$uinverse'(X0))
& relation('function$uinverse'(X0)) ) ) ).
fof(dt_k5_relat_1,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation('relation$ucomposition'(X0,X1)) ) ).
fof(fc1_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( function('relation$ucomposition'(X0,X1))
& relation('relation$ucomposition'(X0,X1)) ) ) ).
fof(t34_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( X1 = 'identity$urelation'(X0)
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& 'relation$udom'(X1) = X0 ) ) ) ).
fof(t56_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,'relation$udom'(X1))
& 'one$uto$uone'(X1) )
=> ( X0 = apply('relation$ucomposition'(X1,'function$uinverse'(X1)),X0)
& X0 = apply('function$uinverse'(X1),apply(X1,X0)) ) ) ) ).
fof(t57_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,'relation$urng'(X1))
& 'one$uto$uone'(X1) )
=> ( X0 = apply('relation$ucomposition'('function$uinverse'(X1),X1),X0)
& X0 = apply(X1,apply('function$uinverse'(X1),X0)) ) ) ) ).
fof(t58_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$urng'('relation$ucomposition'(X0,'function$uinverse'(X0))) = 'relation$udom'(X0)
& 'relation$udom'('relation$ucomposition'(X0,'function$uinverse'(X0))) = 'relation$udom'(X0) ) ) ) ).
fof(t59_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$urng'('relation$ucomposition'('function$uinverse'(X0),X0)) = 'relation$urng'(X0)
& 'relation$udom'('relation$ucomposition'('function$uinverse'(X0),X0)) = 'relation$urng'(X0) ) ) ) ).
fof(t61_funct_1,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0))
& 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> ( 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0))
& 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0)) ) ) ),
inference(negate_conjecture,[status(cth)],[t61_funct_1]) ).
cnf(c6,plain,
( relation('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c7,plain,
( function('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c8,plain,
( relation('relation$ucomposition'(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k5_relat_1]) ).
cnf(c17,plain,
( function('relation$ucomposition'(X0,X1))
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0) ),
inference(clausification,[status(esa)],[fc1_funct_1]) ).
cnf(c57,plain,
( X0 = 'identity$urelation'(X1)
| ~ function(X0)
| in(sK44(X1,X0),X1)
| 'relation$udom'(X0) != X1
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t34_funct_1]) ).
cnf(c58,plain,
( X0 = 'identity$urelation'(X1)
| ~ function(X0)
| apply(X0,sK44(X1,X0)) != sK44(X1,X0)
| 'relation$udom'(X0) != X1
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t34_funct_1]) ).
cnf(c63,plain,
( ~ relation(X0)
| ~ in(X1,'relation$udom'(X0))
| ~ 'one$uto$uone'(X0)
| X1 = apply('relation$ucomposition'(X0,'function$uinverse'(X0)),X1)
| ~ function(X0) ),
inference(clausification,[status(esa)],[t56_funct_1]) ).
cnf(c65,plain,
( ~ relation(X1)
| ~ 'one$uto$uone'(X1)
| ~ function(X1)
| ~ in(X0,'relation$urng'(X1))
| X0 = apply('relation$ucomposition'('function$uinverse'(X1),X1),X0) ),
inference(clausification,[status(esa)],[t57_funct_1]) ).
cnf(c66,plain,
( 'relation$udom'('relation$ucomposition'(X0,'function$uinverse'(X0))) = 'relation$udom'(X0)
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t58_funct_1]) ).
cnf(c68,plain,
( 'relation$udom'('relation$ucomposition'('function$uinverse'(X0),X0)) = 'relation$urng'(X0)
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t59_funct_1]) ).
cnf(c74,plain,
relation(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c75,plain,
function(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c76,plain,
'one$uto$uone'(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c77,plain,
( 'relation$ucomposition'('function$uinverse'(sK64),sK64) != 'identity$urelation'('relation$urng'(sK64))
| 'relation$ucomposition'(sK64,'function$uinverse'(sK64)) != 'identity$urelation'('relation$udom'(sK64)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| in(sK44(X1,'relation$ucomposition'(X0,'function$uinverse'(X0))),X1)
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'(X1)
| 'relation$udom'(X0) != X1 ),
inference(superposition,[status(thm)],[c66,c57]) ).
cnf(d1,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ relation(X0)
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function(X0)
| in(sK44('relation$udom'(X0),'relation$ucomposition'(X0,'function$uinverse'(X0))),'relation$udom'(X0))
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0)) ),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK44(X1,'relation$ucomposition'(X0,'function$uinverse'(X0))),'relation$udom'(X0))
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| 'relation$udom'('relation$ucomposition'(X0,'function$uinverse'(X0))) != X1
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'(X1)
| sK44(X1,'relation$ucomposition'(X0,'function$uinverse'(X0))) != sK44(X1,'relation$ucomposition'(X0,'function$uinverse'(X0))) ),
inference(superposition,[status(thm)],[c63,c58]) ).
cnf(d3,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ relation(X0)
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function(X0)
| ~ in(sK44(X1,'relation$ucomposition'(X0,'function$uinverse'(X0))),'relation$udom'(X0))
| 'relation$udom'('relation$ucomposition'(X0,'function$uinverse'(X0))) != X1
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'(X1) ),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ relation(X0)
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function(X0)
| ~ in(sK44(X1,'relation$ucomposition'(X0,'function$uinverse'(X0))),'relation$udom'(X0))
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'(X1)
| 'relation$udom'(X0) != X1 ),
inference(superposition,[status(thm)],[c66,d3]) ).
cnf(d5,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ relation(X0)
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function(X0)
| ~ in(sK44('relation$udom'(X0),'relation$ucomposition'(X0,'function$uinverse'(X0))),'relation$udom'(X0))
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0)) ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ relation(X0)
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function(X0)
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0))
| ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ relation(X0)
| ~ function('relation$ucomposition'(X0,'function$uinverse'(X0)))
| ~ function(X0)
| 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0)) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ 'one$uto$uone'(sK64)
| ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ relation(sK64)
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function(sK64)
| 'relation$ucomposition'('function$uinverse'(sK64),sK64) != 'identity$urelation'('relation$urng'(sK64))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64)) ),
inference(superposition,[status(thm)],[d6,c77]) ).
cnf(d8,plain,
( ~ 'one$uto$uone'(sK64)
| ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function(sK64)
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64))
| 'relation$ucomposition'('function$uinverse'(sK64),sK64) != 'identity$urelation'('relation$urng'(sK64)) ),
inference(resolution,[status(thm)],[c74,d7]) ).
cnf(d9,plain,
( ~ 'one$uto$uone'(sK64)
| ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64))
| 'relation$ucomposition'('function$uinverse'(sK64),sK64) != 'identity$urelation'('relation$urng'(sK64)) ),
inference(resolution,[status(thm)],[c75,d8]) ).
cnf(d10,plain,
( ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64))
| 'relation$ucomposition'('function$uinverse'(sK64),sK64) != 'identity$urelation'('relation$urng'(sK64)) ),
inference(resolution,[status(thm)],[c76,d9]) ).
cnf(d11,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| in(sK44(X1,'relation$ucomposition'('function$uinverse'(X0),X0)),X1)
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'(X1)
| 'relation$urng'(X0) != X1 ),
inference(superposition,[status(thm)],[c68,c57]) ).
cnf(d12,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ relation(X0)
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function(X0)
| in(sK44('relation$urng'(X0),'relation$ucomposition'('function$uinverse'(X0),X0)),'relation$urng'(X0))
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0)) ),
inference(equality_resolution,[status(thm)],[d11]) ).
cnf(d13,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK44(X1,'relation$ucomposition'('function$uinverse'(X0),X0)),'relation$urng'(X0))
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| 'relation$udom'('relation$ucomposition'('function$uinverse'(X0),X0)) != X1
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'(X1)
| sK44(X1,'relation$ucomposition'('function$uinverse'(X0),X0)) != sK44(X1,'relation$ucomposition'('function$uinverse'(X0),X0)) ),
inference(superposition,[status(thm)],[c65,c58]) ).
cnf(d14,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ relation(X0)
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function(X0)
| ~ in(sK44(X1,'relation$ucomposition'('function$uinverse'(X0),X0)),'relation$urng'(X0))
| 'relation$udom'('relation$ucomposition'('function$uinverse'(X0),X0)) != X1
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'(X1) ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ relation(X0)
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function(X0)
| ~ in(sK44(X1,'relation$ucomposition'('function$uinverse'(X0),X0)),'relation$urng'(X0))
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'(X1)
| 'relation$urng'(X0) != X1 ),
inference(superposition,[status(thm)],[c68,d14]) ).
cnf(d16,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ relation(X0)
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function(X0)
| ~ in(sK44('relation$urng'(X0),'relation$ucomposition'('function$uinverse'(X0),X0)),'relation$urng'(X0))
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0)) ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ relation(X0)
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function(X0)
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0))
| ~ 'one$uto$uone'(X0)
| ~ relation('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ relation(X0)
| ~ function('relation$ucomposition'('function$uinverse'(X0),X0))
| ~ function(X0)
| 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0)) ),
inference(resolution,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
( ~ 'one$uto$uone'(sK64)
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ relation(sK64)
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function(sK64)
| ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64))
| 'identity$urelation'('relation$urng'(sK64)) != 'identity$urelation'('relation$urng'(sK64)) ),
inference(superposition,[status(thm)],[d17,d10]) ).
cnf(d19,plain,
( ~ 'one$uto$uone'(sK64)
| ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function(sK64)
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| 'identity$urelation'('relation$urng'(sK64)) != 'identity$urelation'('relation$urng'(sK64))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64)) ),
inference(resolution,[status(thm)],[c74,d18]) ).
cnf(d20,plain,
( ~ 'one$uto$uone'(sK64)
| ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| 'identity$urelation'('relation$urng'(sK64)) != 'identity$urelation'('relation$urng'(sK64))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64)) ),
inference(resolution,[status(thm)],[c75,d19]) ).
cnf(d21,plain,
( ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| 'identity$urelation'('relation$urng'(sK64)) != 'identity$urelation'('relation$urng'(sK64))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64)) ),
inference(resolution,[status(thm)],[c76,d20]) ).
cnf(d22,plain,
( ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| 'identity$urelation'('relation$udom'(sK64)) != 'identity$urelation'('relation$udom'(sK64)) ),
inference(equality_resolution,[status(thm)],[d21]) ).
cnf(d23,plain,
( ~ relation('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64)) ),
inference(equality_resolution,[status(thm)],[d22]) ).
cnf(d24,plain,
( ~ relation('function$uinverse'(sK64))
| ~ relation(sK64)
| ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64)) ),
inference(resolution,[status(thm)],[d23,c8]) ).
cnf(d25,plain,
( ~ relation('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ relation('function$uinverse'(sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64)) ),
inference(resolution,[status(thm)],[c74,d24]) ).
cnf(d26,plain,
( ~ relation(sK64)
| ~ relation('function$uinverse'(sK64))
| ~ relation('function$uinverse'(sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64)) ),
inference(resolution,[status(thm)],[d25,c8]) ).
cnf(d27,plain,
( ~ relation('function$uinverse'(sK64))
| ~ function('relation$ucomposition'(sK64,'function$uinverse'(sK64)))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64)) ),
inference(resolution,[status(thm)],[c74,d26]) ).
cnf(d28,plain,
( ~ relation(sK64)
| ~ relation('function$uinverse'(sK64))
| ~ function(sK64)
| ~ function('function$uinverse'(sK64))
| ~ relation('function$uinverse'(sK64))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64)) ),
inference(resolution,[status(thm)],[d27,c17]) ).
cnf(d29,plain,
( ~ relation('function$uinverse'(sK64))
| ~ function(sK64)
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[c74,d28]) ).
cnf(d30,plain,
( ~ relation('function$uinverse'(sK64))
| ~ function('relation$ucomposition'('function$uinverse'(sK64),sK64))
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[c75,d29]) ).
cnf(d31,plain,
( ~ relation('function$uinverse'(sK64))
| ~ relation(sK64)
| ~ function('function$uinverse'(sK64))
| ~ function(sK64)
| ~ relation('function$uinverse'(sK64))
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[d30,c17]) ).
cnf(d32,plain,
( ~ relation('function$uinverse'(sK64))
| ~ function(sK64)
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[c74,d31]) ).
cnf(d33,plain,
( ~ relation('function$uinverse'(sK64))
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[c75,d32]) ).
cnf(d34,plain,
( ~ relation(sK64)
| ~ function(sK64)
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[d33,c6]) ).
cnf(d35,plain,
( ~ function(sK64)
| ~ function('function$uinverse'(sK64)) ),
inference(resolution,[status(thm)],[c74,d34]) ).
cnf(d36,plain,
~ function('function$uinverse'(sK64)),
inference(resolution,[status(thm)],[c75,d35]) ).
cnf(d37,plain,
( ~ relation(sK64)
| ~ function(sK64) ),
inference(resolution,[status(thm)],[d36,c7]) ).
cnf(d38,plain,
~ function(sK64),
inference(resolution,[status(thm)],[c74,d37]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[c75,d38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU028+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
% 0.09/10.37 % Computer : n015.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 08:35:08 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.70/17.54 % SZS status Theorem for theBenchmark.p
% 47.70/17.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------