%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU031+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 : n016.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 24.13s 4.49s
% Output : CNFRefutation 24.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 11 unt; 0 def)
% Number of atoms : 222 ( 77 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 331 ( 153 ~; 144 |; 19 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function('function$uinverse'(X0))
& relation('function$uinverse'(X0)) ) ) ).
fof(l72_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( function(X3)
& relation(X3) )
=> ( ( 'relation$ucomposition'(X2,X3) = 'identity$urelation'(X0)
& 'relation$ucomposition'(X1,X2) = 'identity$urelation'('relation$udom'(X3))
& 'relation$urng'(X1) = X0 )
=> X3 = X1 ) ) ) ) ).
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(t64_funct_1,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( 'relation$ucomposition'(X1,X0) = 'identity$urelation'('relation$urng'(X0))
& 'relation$urng'(X1) = 'relation$udom'(X0)
& 'one$uto$uone'(X0) )
=> X1 = 'function$uinverse'(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( 'relation$ucomposition'(X1,X0) = 'identity$urelation'('relation$urng'(X0))
& 'relation$urng'(X1) = 'relation$udom'(X0)
& 'one$uto$uone'(X0) )
=> X1 = 'function$uinverse'(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[t64_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(c32,plain,
( ~ function(X2)
| X1 = X0
| ~ relation(X2)
| 'relation$ucomposition'(X2,X1) != 'identity$urelation'(X3)
| 'relation$urng'(X0) != X3
| ~ function(X0)
| ~ function(X1)
| 'relation$ucomposition'(X0,X2) != 'identity$urelation'('relation$udom'(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[l72_funct_1]) ).
cnf(c59,plain,
( 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t55_funct_1]) ).
cnf(c62,plain,
( 'relation$ucomposition'(X0,'function$uinverse'(X0)) = 'identity$urelation'('relation$udom'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t61_funct_1]) ).
cnf(c67,plain,
relation(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c68,plain,
function(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c69,plain,
relation(sK61),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c70,plain,
function(sK61),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
'one$uto$uone'(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c72,plain,
'relation$urng'(sK61) = 'relation$udom'(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c73,plain,
'relation$ucomposition'(sK61,sK60) = 'identity$urelation'('relation$urng'(sK60)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c74,plain,
sK61 != 'function$uinverse'(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'one$uto$uone'(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ relation('function$uinverse'(X0))
| ~ relation(X2)
| ~ function(X1)
| ~ function('function$uinverse'(X0))
| ~ function(X2)
| 'relation$urng'(X1) != X3
| 'relation$ucomposition'(X2,'function$uinverse'(X0)) != 'identity$urelation'(X3)
| 'function$uinverse'(X0) = X1
| 'relation$ucomposition'(X1,X2) != 'identity$urelation'('relation$urng'(X0)) ),
inference(superposition,[status(thm)],[c59,c32]) ).
cnf(d1,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ relation(sK60)
| ~ relation(X0)
| ~ relation(X1)
| ~ function('function$uinverse'(sK60))
| ~ function(sK60)
| ~ function(X0)
| ~ function(X1)
| 'relation$urng'(X0) != X2
| 'relation$ucomposition'(X1,'function$uinverse'(sK60)) != 'identity$urelation'(X2)
| 'function$uinverse'(sK60) = X0
| 'relation$ucomposition'(X0,X1) != 'relation$ucomposition'(sK61,sK60) ),
inference(superposition,[status(thm)],[c73,d0]) ).
cnf(d2,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ relation(X0)
| ~ relation(X1)
| ~ function(sK60)
| ~ function('function$uinverse'(sK60))
| ~ function(X0)
| ~ function(X1)
| 'relation$urng'(X0) != X2
| 'relation$ucomposition'(X0,X1) != 'relation$ucomposition'(sK61,sK60)
| 'relation$ucomposition'(X1,'function$uinverse'(sK60)) != 'identity$urelation'(X2)
| 'function$uinverse'(sK60) = X0 ),
inference(resolution,[status(thm)],[c67,d1]) ).
cnf(d3,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ relation(X0)
| ~ relation(X1)
| ~ function('function$uinverse'(sK60))
| ~ function(X0)
| ~ function(X1)
| 'relation$urng'(X0) != X2
| 'relation$ucomposition'(X0,X1) != 'relation$ucomposition'(sK61,sK60)
| 'relation$ucomposition'(X1,'function$uinverse'(sK60)) != 'identity$urelation'(X2)
| 'function$uinverse'(sK60) = X0 ),
inference(resolution,[status(thm)],[c68,d2]) ).
cnf(d4,plain,
( ~ relation('function$uinverse'(sK60))
| ~ relation(X0)
| ~ relation(X1)
| ~ function('function$uinverse'(sK60))
| ~ function(X0)
| ~ function(X1)
| 'relation$urng'(X0) != X2
| 'relation$ucomposition'(X0,X1) != 'relation$ucomposition'(sK61,sK60)
| 'relation$ucomposition'(X1,'function$uinverse'(sK60)) != 'identity$urelation'(X2)
| 'function$uinverse'(sK60) = X0 ),
inference(resolution,[status(thm)],[c71,d3]) ).
cnf(d5,plain,
( ~ relation('function$uinverse'(sK60))
| ~ relation(sK61)
| ~ relation(sK60)
| ~ function('function$uinverse'(sK60))
| ~ function(sK61)
| ~ function(sK60)
| 'relation$urng'(sK61) != X0
| 'relation$ucomposition'(sK60,'function$uinverse'(sK60)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ relation(sK61)
| ~ relation('function$uinverse'(sK60))
| ~ function(sK61)
| ~ function(sK60)
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'relation$ucomposition'(sK60,'function$uinverse'(sK60)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c67,d5]) ).
cnf(d7,plain,
( ~ relation(sK61)
| ~ relation('function$uinverse'(sK60))
| ~ function(sK61)
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'relation$ucomposition'(sK60,'function$uinverse'(sK60)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c68,d6]) ).
cnf(d8,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function(sK61)
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'relation$ucomposition'(sK60,'function$uinverse'(sK60)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c69,d7]) ).
cnf(d9,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'relation$ucomposition'(sK60,'function$uinverse'(sK60)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c70,d8]) ).
cnf(d10,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation(sK60)
| ~ function(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'function$uinverse'(sK60) = sK61
| 'identity$urelation'('relation$udom'(sK60)) != 'identity$urelation'(X0) ),
inference(superposition,[status(thm)],[c62,d9]) ).
cnf(d11,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ function(sK60)
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'identity$urelation'('relation$urng'(sK61)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(demodulation,[status(thm)],[d10,c72]) ).
cnf(d12,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ function(sK60)
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'identity$urelation'('relation$urng'(sK61)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c67,d11]) ).
cnf(d13,plain,
( ~ 'one$uto$uone'(sK60)
| ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'identity$urelation'('relation$urng'(sK61)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c68,d12]) ).
cnf(d14,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != X0
| 'identity$urelation'('relation$urng'(sK61)) != 'identity$urelation'(X0)
| 'function$uinverse'(sK60) = sK61 ),
inference(resolution,[status(thm)],[c71,d13]) ).
cnf(d15,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| 'relation$urng'(sK61) != 'relation$urng'(sK61)
| 'function$uinverse'(sK60) = sK61 ),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| 'function$uinverse'(sK60) = sK61 ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60))
| sK61 != sK61 ),
inference(superposition,[status(thm)],[d16,c74]) ).
cnf(d18,plain,
( ~ relation('function$uinverse'(sK60))
| ~ function('function$uinverse'(sK60)) ),
inference(equality_resolution,[status(thm)],[d17]) ).
cnf(d19,plain,
( ~ relation(sK60)
| ~ function(sK60)
| ~ function('function$uinverse'(sK60)) ),
inference(resolution,[status(thm)],[d18,c6]) ).
cnf(d20,plain,
( ~ function(sK60)
| ~ function('function$uinverse'(sK60)) ),
inference(resolution,[status(thm)],[c67,d19]) ).
cnf(d21,plain,
~ function('function$uinverse'(sK60)),
inference(resolution,[status(thm)],[c68,d20]) ).
cnf(d22,plain,
( ~ relation(sK60)
| ~ function(sK60) ),
inference(resolution,[status(thm)],[d21,c7]) ).
cnf(d23,plain,
~ function(sK60),
inference(resolution,[status(thm)],[c67,d22]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[c68,d23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU031+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
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 08:36:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.13/4.49 % SZS status Theorem for theBenchmark.p
% 24.13/4.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------