%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU032+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 : n020.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 43.38s 6.08s
% Output : CNFRefutation 43.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 166 ( 31 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 245 ( 117 ~; 101 |; 13 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 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 : 21 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function('function$uinverse'(X0))
& relation('function$uinverse'(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(t62_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> 'one$uto$uone'('function$uinverse'(X0)) ) ) ).
fof(t63_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( 'relation$ucomposition'(X0,X1) = 'identity$urelation'('relation$udom'(X0))
& 'relation$urng'(X0) = 'relation$udom'(X1)
& 'one$uto$uone'(X0) )
=> X1 = 'function$uinverse'(X0) ) ) ) ).
fof(t65_funct_1,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> 'function$uinverse'('function$uinverse'(X0)) = X0 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( 'one$uto$uone'(X0)
=> 'function$uinverse'('function$uinverse'(X0)) = X0 ) ),
inference(negate_conjecture,[status(cth)],[t65_funct_1]) ).
cnf(c6,plain,
( relation('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c7,plain,
( function('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c58,plain,
( 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t55_funct_1]) ).
cnf(c59,plain,
( 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t55_funct_1]) ).
cnf(c62,plain,
( 'relation$ucomposition'('function$uinverse'(X0),X0) = 'identity$urelation'('relation$urng'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t61_funct_1]) ).
cnf(c63,plain,
( 'one$uto$uone'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t62_funct_1]) ).
cnf(c64,plain,
( 'relation$ucomposition'(X0,X1) != 'identity$urelation'('relation$udom'(X0))
| ~ function(X1)
| ~ relation(X1)
| ~ 'one$uto$uone'(X0)
| X1 = 'function$uinverse'(X0)
| 'relation$urng'(X0) != 'relation$udom'(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(clausification,[status(esa)],[t63_funct_1]) ).
cnf(c68,plain,
relation(sK59),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c69,plain,
function(sK59),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c70,plain,
'one$uto$uone'(sK59),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
'function$uinverse'('function$uinverse'(sK59)) != sK59,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ 'one$uto$uone'('function$uinverse'(X0))
| ~ relation(X0)
| ~ relation('function$uinverse'(X0))
| ~ function(X0)
| ~ function('function$uinverse'(X0))
| 'relation$urng'('function$uinverse'(X0)) != 'relation$udom'(X0)
| X0 = 'function$uinverse'('function$uinverse'(X0))
| 'identity$urelation'('relation$urng'(X0)) != 'identity$urelation'('relation$udom'('function$uinverse'(X0))) ),
inference(superposition,[status(thm)],[c62,c64]) ).
cnf(d1,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ 'one$uto$uone'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X0)
| ~ function('function$uinverse'(X0))
| ~ function(X0)
| 'relation$urng'('function$uinverse'(X0)) != 'relation$udom'(X0)
| X0 = 'function$uinverse'('function$uinverse'(X0))
| 'identity$urelation'('relation$urng'(X0)) != 'identity$urelation'('relation$urng'(X0)) ),
inference(superposition,[status(thm)],[c58,d0]) ).
cnf(d2,plain,
( ~ 'one$uto$uone'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X0)
| ~ function('function$uinverse'(X0))
| ~ function(X0)
| 'relation$urng'('function$uinverse'(X0)) != 'relation$udom'(X0)
| X0 = 'function$uinverse'('function$uinverse'(X0)) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ 'one$uto$uone'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X0)
| ~ function('function$uinverse'(X0))
| ~ function(X0)
| X0 = 'function$uinverse'('function$uinverse'(X0))
| 'relation$udom'(X0) != 'relation$udom'(X0) ),
inference(superposition,[status(thm)],[c59,d2]) ).
cnf(d4,plain,
( ~ 'one$uto$uone'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ relation('function$uinverse'(X0))
| ~ relation(X0)
| ~ function('function$uinverse'(X0))
| ~ function(X0)
| X0 = 'function$uinverse'('function$uinverse'(X0)) ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( ~ 'one$uto$uone'('function$uinverse'(sK59))
| ~ 'one$uto$uone'(sK59)
| ~ relation('function$uinverse'(sK59))
| ~ relation(sK59)
| ~ function('function$uinverse'(sK59))
| ~ function(sK59)
| sK59 != sK59 ),
inference(superposition,[status(thm)],[d4,c71]) ).
cnf(d6,plain,
( ~ 'one$uto$uone'(sK59)
| ~ 'one$uto$uone'('function$uinverse'(sK59))
| ~ relation('function$uinverse'(sK59))
| ~ function(sK59)
| ~ function('function$uinverse'(sK59))
| sK59 != sK59 ),
inference(resolution,[status(thm)],[c68,d5]) ).
cnf(d7,plain,
( ~ 'one$uto$uone'(sK59)
| ~ 'one$uto$uone'('function$uinverse'(sK59))
| ~ relation('function$uinverse'(sK59))
| ~ function('function$uinverse'(sK59))
| sK59 != sK59 ),
inference(resolution,[status(thm)],[c69,d6]) ).
cnf(d8,plain,
( ~ 'one$uto$uone'('function$uinverse'(sK59))
| ~ relation('function$uinverse'(sK59))
| ~ function('function$uinverse'(sK59))
| sK59 != sK59 ),
inference(resolution,[status(thm)],[c70,d7]) ).
cnf(d9,plain,
( ~ 'one$uto$uone'('function$uinverse'(sK59))
| ~ relation('function$uinverse'(sK59))
| ~ function('function$uinverse'(sK59)) ),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( ~ 'one$uto$uone'(sK59)
| ~ relation(sK59)
| ~ function(sK59)
| ~ relation('function$uinverse'(sK59))
| ~ function('function$uinverse'(sK59)) ),
inference(resolution,[status(thm)],[d9,c63]) ).
cnf(d11,plain,
( ~ 'one$uto$uone'(sK59)
| ~ relation('function$uinverse'(sK59))
| ~ function(sK59)
| ~ function('function$uinverse'(sK59)) ),
inference(resolution,[status(thm)],[c68,d10]) ).
cnf(d12,plain,
( ~ 'one$uto$uone'(sK59)
| ~ relation('function$uinverse'(sK59))
| ~ function('function$uinverse'(sK59)) ),
inference(resolution,[status(thm)],[c69,d11]) ).
cnf(d13,plain,
( ~ relation('function$uinverse'(sK59))
| ~ function('function$uinverse'(sK59)) ),
inference(resolution,[status(thm)],[c70,d12]) ).
cnf(d14,plain,
( ~ relation(sK59)
| ~ function(sK59)
| ~ function('function$uinverse'(sK59)) ),
inference(resolution,[status(thm)],[d13,c6]) ).
cnf(d15,plain,
( ~ function(sK59)
| ~ function('function$uinverse'(sK59)) ),
inference(resolution,[status(thm)],[c68,d14]) ).
cnf(d16,plain,
~ function('function$uinverse'(sK59)),
inference(resolution,[status(thm)],[c69,d15]) ).
cnf(d17,plain,
( ~ relation(sK59)
| ~ function(sK59) ),
inference(resolution,[status(thm)],[d16,c7]) ).
cnf(d18,plain,
~ function(sK59),
inference(resolution,[status(thm)],[c68,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[c69,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU032+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n020.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 08:33:03 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.38/6.08 % SZS status Theorem for theBenchmark.p
% 43.38/6.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------