%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU096+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 : n013.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 08:40:52 AM UTC 2026
% Result : Theorem 12.10s 2.73s
% Output : CNFRefutation 12.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 48 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 18 ~; 15 |; 7 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc13_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& function(X0)
& relation(X0) )
=> finite('relation$uimage'(X0,X1)) ) ).
fof(t147_funct_1,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,'relation$urng'(X1))
=> 'relation$uimage'(X1,'relation$uinverse$uimage'(X1,X0)) = X0 ) ) ).
fof(t27_finset_1,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( finite('relation$uinverse$uimage'(X1,X0))
& subset(X0,'relation$urng'(X1)) )
=> finite(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( finite('relation$uinverse$uimage'(X1,X0))
& subset(X0,'relation$urng'(X1)) )
=> finite(X0) ) ),
inference(negate_conjecture,[status(cth)],[t27_finset_1]) ).
cnf(c29,plain,
( finite('relation$uimage'(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[fc13_finset_1]) ).
cnf(c133,plain,
( 'relation$uimage'(X0,'relation$uinverse$uimage'(X0,X1)) = X1
| ~ subset(X1,'relation$urng'(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t147_funct_1]) ).
cnf(c144,plain,
relation(sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c145,plain,
function(sK76),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c146,plain,
subset(sK75,'relation$urng'(sK76)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c147,plain,
finite('relation$uinverse$uimage'(sK76,sK75)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c148,plain,
~ finite(sK75),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ relation(sK76)
| ~ function(sK76)
| 'relation$uimage'(sK76,'relation$uinverse$uimage'(sK76,sK75)) = sK75 ),
inference(resolution,[status(thm)],[c133,c146]) ).
cnf(d1,plain,
( ~ function(sK76)
| 'relation$uimage'(sK76,'relation$uinverse$uimage'(sK76,sK75)) = sK75 ),
inference(resolution,[status(thm)],[c144,d0]) ).
cnf(d2,plain,
'relation$uimage'(sK76,'relation$uinverse$uimage'(sK76,sK75)) = sK75,
inference(resolution,[status(thm)],[c145,d1]) ).
cnf(d3,plain,
( ~ relation(sK76)
| ~ function(sK76)
| ~ finite('relation$uinverse$uimage'(sK76,sK75))
| finite(sK75) ),
inference(superposition,[status(thm)],[d2,c29]) ).
cnf(d4,plain,
( ~ function(sK76)
| finite(sK75)
| ~ finite('relation$uinverse$uimage'(sK76,sK75)) ),
inference(resolution,[status(thm)],[c144,d3]) ).
cnf(d5,plain,
( finite(sK75)
| ~ finite('relation$uinverse$uimage'(sK76,sK75)) ),
inference(resolution,[status(thm)],[c145,d4]) ).
cnf(d6,plain,
~ finite('relation$uinverse$uimage'(sK76,sK75)),
inference(resolution,[status(thm)],[c148,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c147,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU096+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 08:35:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.10/2.73 % SZS status Theorem for theBenchmark.p
% 12.10/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------