%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU080+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 : 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 08:40:50 AM UTC 2026
% Result : Theorem 11.36s 3.42s
% Output : CNFRefutation 11.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 70 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 30 ~; 27 |; 9 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 1 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : subset(X0,X0) ).
fof(t158_funct_1,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X0,'relation$urng'(X2))
& subset('relation$uinverse$uimage'(X2,X0),'relation$uinverse$uimage'(X2,X1)) )
=> subset(X0,X1) ) ) ).
fof(t161_funct_1,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X1,'relation$urng'(X2))
& subset(X0,'relation$urng'(X2))
& 'relation$uinverse$uimage'(X2,X0) = 'relation$uinverse$uimage'(X2,X1) )
=> X0 = X1 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( subset(X1,'relation$urng'(X2))
& subset(X0,'relation$urng'(X2))
& 'relation$uinverse$uimage'(X2,X0) = 'relation$uinverse$uimage'(X2,X1) )
=> X0 = X1 ) ),
inference(negate_conjecture,[status(cth)],[t161_funct_1]) ).
cnf(c8,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[d10_xboole_0]) ).
cnf(c40,plain,
subset(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(c41,plain,
( ~ subset(X1,'relation$urng'(X0))
| ~ subset('relation$uinverse$uimage'(X0,X1),'relation$uinverse$uimage'(X0,X2))
| subset(X1,X2)
| ~ relation(X0)
| ~ function(X0) ),
inference(clausification,[status(esa)],[t158_funct_1]) ).
cnf(c51,plain,
relation(sK48),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
function(sK48),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
'relation$uinverse$uimage'(sK48,sK46) = 'relation$uinverse$uimage'(sK48,sK47),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
subset(sK46,'relation$urng'(sK48)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c55,plain,
subset(sK47,'relation$urng'(sK48)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
sK46 != sK47,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset(X0,'relation$urng'(sK48))
| subset(X0,sK47)
| ~ relation(sK48)
| ~ function(sK48)
| ~ subset('relation$uinverse$uimage'(sK48,X0),'relation$uinverse$uimage'(sK48,sK46)) ),
inference(superposition,[status(thm)],[c53,c41]) ).
cnf(d1,plain,
( ~ subset('relation$uinverse$uimage'(sK48,X0),'relation$uinverse$uimage'(sK48,sK46))
| subset(X0,sK47)
| ~ subset(X0,'relation$urng'(sK48))
| ~ function(sK48) ),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
( ~ subset('relation$uinverse$uimage'(sK48,X0),'relation$uinverse$uimage'(sK48,sK46))
| subset(X0,sK47)
| ~ subset(X0,'relation$urng'(sK48)) ),
inference(resolution,[status(thm)],[c52,d1]) ).
cnf(d3,plain,
( subset(sK46,sK47)
| ~ subset(sK46,'relation$urng'(sK48)) ),
inference(resolution,[status(thm)],[d2,c40]) ).
cnf(d4,plain,
subset(sK46,sK47),
inference(resolution,[status(thm)],[c54,d3]) ).
cnf(d5,plain,
( ~ subset(sK47,'relation$urng'(sK48))
| subset(sK47,X0)
| ~ relation(sK48)
| ~ function(sK48)
| ~ subset('relation$uinverse$uimage'(sK48,sK46),'relation$uinverse$uimage'(sK48,X0)) ),
inference(superposition,[status(thm)],[c53,c41]) ).
cnf(d6,plain,
( ~ subset(sK47,'relation$urng'(sK48))
| subset(sK47,X0)
| ~ subset('relation$uinverse$uimage'(sK48,sK46),'relation$uinverse$uimage'(sK48,X0))
| ~ function(sK48) ),
inference(resolution,[status(thm)],[c51,d5]) ).
cnf(d7,plain,
( ~ subset(sK47,'relation$urng'(sK48))
| subset(sK47,X0)
| ~ subset('relation$uinverse$uimage'(sK48,sK46),'relation$uinverse$uimage'(sK48,X0)) ),
inference(resolution,[status(thm)],[c52,d6]) ).
cnf(d8,plain,
( subset(sK47,X0)
| ~ subset('relation$uinverse$uimage'(sK48,sK46),'relation$uinverse$uimage'(sK48,X0)) ),
inference(resolution,[status(thm)],[c55,d7]) ).
cnf(d9,plain,
subset(sK47,sK46),
inference(resolution,[status(thm)],[d8,c40]) ).
cnf(d10,plain,
( ~ subset(sK46,sK47)
| sK46 = sK47 ),
inference(resolution,[status(thm)],[d9,c8]) ).
cnf(d11,plain,
~ subset(sK46,sK47),
inference(resolution,[status(thm)],[c56,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n015.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 08:38:29 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.36/3.42 % SZS status Theorem for theBenchmark.p
% 11.36/3.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------