%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU026+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 21.56s 5.20s
% Output : CNFRefutation 21.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 102 ( 35 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 46 ~; 42 |; 8 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function('function$uinverse'(X0))
& relation('function$uinverse'(X0)) ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : subset(X0,X0) ).
fof(t46_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset('relation$urng'(X0),'relation$udom'(X1))
=> 'relation$udom'('relation$ucomposition'(X0,X1)) = 'relation$udom'(X0) ) ) ) ).
fof(t47_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset('relation$udom'(X0),'relation$urng'(X1))
=> 'relation$urng'('relation$ucomposition'(X1,X0)) = 'relation$urng'(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(t59_funct_1,conjecture,
! [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(negated_conjecture,negated_conjecture,
~ ! [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) ) ) ),
inference(negate_conjecture,[status(cth)],[t59_funct_1]) ).
cnf(c6,plain,
( relation('function$uinverse'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k2_funct_1]) ).
cnf(c49,plain,
subset(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(c54,plain,
( 'relation$udom'('relation$ucomposition'(X0,X1)) = 'relation$udom'(X0)
| ~ subset('relation$urng'(X0),'relation$udom'(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t46_relat_1]) ).
cnf(c55,plain,
( 'relation$urng'('relation$ucomposition'(X1,X0)) = 'relation$urng'(X0)
| ~ subset('relation$udom'(X0),'relation$urng'(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t47_relat_1]) ).
cnf(c57,plain,
( 'relation$urng'(X0) = 'relation$udom'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t55_funct_1]) ).
cnf(c58,plain,
( 'relation$udom'(X0) = 'relation$urng'('function$uinverse'(X0))
| ~ 'one$uto$uone'(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t55_funct_1]) ).
cnf(c63,plain,
relation(sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c64,plain,
function(sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
'one$uto$uone'(sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
( 'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) != 'relation$urng'(sK57)
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),sK57)) != 'relation$urng'(sK57) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ relation(sK57)
| ~ function(sK57)
| 'relation$udom'(sK57) = 'relation$urng'('function$uinverse'(sK57)) ),
inference(resolution,[status(thm)],[c58,c65]) ).
cnf(d1,plain,
( ~ function(sK57)
| 'relation$udom'(sK57) = 'relation$urng'('function$uinverse'(sK57)) ),
inference(resolution,[status(thm)],[c63,d0]) ).
cnf(d2,plain,
'relation$udom'(sK57) = 'relation$urng'('function$uinverse'(sK57)),
inference(resolution,[status(thm)],[c64,d1]) ).
cnf(d3,plain,
( ~ relation(X0)
| ~ relation('function$uinverse'(sK57))
| 'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),X0)) = 'relation$urng'(X0)
| ~ subset('relation$udom'(X0),'relation$udom'(sK57)) ),
inference(superposition,[status(thm)],[d2,c55]) ).
cnf(d4,plain,
( ~ relation('function$uinverse'(sK57))
| ~ relation(sK57)
| 'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[d3,c49]) ).
cnf(d5,plain,
( ~ relation('function$uinverse'(sK57))
| 'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[c63,d4]) ).
cnf(d6,plain,
( ~ relation(sK57)
| ~ function(sK57)
| 'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
( ~ function(sK57)
| 'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[c63,d6]) ).
cnf(d8,plain,
'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57),
inference(resolution,[status(thm)],[c64,d7]) ).
cnf(d9,plain,
( ~ relation(sK57)
| ~ function(sK57)
| 'relation$urng'(sK57) = 'relation$udom'('function$uinverse'(sK57)) ),
inference(resolution,[status(thm)],[c57,c65]) ).
cnf(d10,plain,
( ~ function(sK57)
| 'relation$urng'(sK57) = 'relation$udom'('function$uinverse'(sK57)) ),
inference(resolution,[status(thm)],[c63,d9]) ).
cnf(d11,plain,
'relation$urng'(sK57) = 'relation$udom'('function$uinverse'(sK57)),
inference(resolution,[status(thm)],[c64,d10]) ).
cnf(d12,plain,
( ~ relation('function$uinverse'(sK57))
| ~ relation(X0)
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),X0)) = 'relation$udom'('function$uinverse'(sK57))
| ~ subset('relation$udom'(sK57),'relation$udom'(X0)) ),
inference(superposition,[status(thm)],[d2,c54]) ).
cnf(d13,plain,
( ~ subset('relation$udom'(sK57),'relation$udom'(X0))
| ~ relation('function$uinverse'(sK57))
| ~ relation(X0)
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),X0)) = 'relation$urng'(sK57) ),
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( ~ relation('function$uinverse'(sK57))
| ~ relation(sK57)
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[d13,c49]) ).
cnf(d15,plain,
( ~ relation('function$uinverse'(sK57))
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[c63,d14]) ).
cnf(d16,plain,
( ~ relation(sK57)
| ~ function(sK57)
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[d15,c6]) ).
cnf(d17,plain,
( ~ function(sK57)
| 'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57) ),
inference(resolution,[status(thm)],[c63,d16]) ).
cnf(d18,plain,
'relation$udom'('relation$ucomposition'('function$uinverse'(sK57),sK57)) = 'relation$urng'(sK57),
inference(resolution,[status(thm)],[c64,d17]) ).
cnf(d19,plain,
'relation$urng'('relation$ucomposition'('function$uinverse'(sK57),sK57)) != 'relation$urng'(sK57),
inference(resolution,[status(thm)],[d18,c66]) ).
cnf(d20,plain,
'relation$urng'(sK57) != 'relation$urng'(sK57),
inference(demodulation,[status(thm)],[d19,d8]) ).
cnf(d21,plain,
$false,
inference(equality_resolution,[status(thm)],[d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU026+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n004.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 08:31:21 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.56/5.20 % SZS status Theorem for theBenchmark.p
% 21.56/5.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------