%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU102+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 : n010.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 11.89s 2.75s
% Output : CNFRefutation 11.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 80 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 37 ~; 34 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_finsub_1,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> element('prebool$udifference'(X0,X1,X2),X0) ) ).
fof(redefinition_k2_finsub_1,axiom,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0)
& preboolean(X0)
& ~ empty(X0) )
=> 'prebool$udifference'(X0,X1,X2) = 'set$udifference'(X1,X2) ) ).
fof(t48_xboole_1,axiom,
! [X0,X1] : 'set$udifference'(X0,'set$udifference'(X0,X1)) = 'set$uintersection2'(X0,X1) ).
fof(t13_finsub_1,conjecture,
! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element('set$uintersection2'(X0,X1),X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( preboolean(X2)
& ~ empty(X2) )
=> ( ( element(X1,X2)
& element(X0,X2) )
=> element('set$uintersection2'(X0,X1),X2) ) ),
inference(negate_conjecture,[status(cth)],[t13_finsub_1]) ).
cnf(c7,plain,
( empty(X0)
| element('prebool$udifference'(X0,X2,X1),X0)
| ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0) ),
inference(clausification,[status(esa)],[dt_k2_finsub_1]) ).
cnf(c44,plain,
( ~ element(X2,X0)
| ~ element(X1,X0)
| ~ preboolean(X0)
| empty(X0)
| 'prebool$udifference'(X0,X1,X2) = 'set$udifference'(X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k2_finsub_1]) ).
cnf(c52,plain,
'set$udifference'(X0,'set$udifference'(X0,X1)) = 'set$uintersection2'(X0,X1),
inference(clausification,[status(esa)],[t48_xboole_1]) ).
cnf(c59,plain,
~ empty(sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c60,plain,
preboolean(sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c61,plain,
element(sK64,sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
element(sK65,sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c63,plain,
~ element('set$uintersection2'(sK64,sK65),sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ element(X0,sK66)
| ~ preboolean(sK66)
| empty(sK66)
| 'prebool$udifference'(sK66,sK64,X0) = 'set$udifference'(sK64,X0) ),
inference(resolution,[status(thm)],[c44,c61]) ).
cnf(d1,plain,
( ~ element(X0,sK66)
| ~ preboolean(sK66)
| 'prebool$udifference'(sK66,sK64,X0) = 'set$udifference'(sK64,X0) ),
inference(resolution,[status(thm)],[c59,d0]) ).
cnf(d2,plain,
( ~ element(X0,sK66)
| 'prebool$udifference'(sK66,sK64,X0) = 'set$udifference'(sK64,X0) ),
inference(resolution,[status(thm)],[c60,d1]) ).
cnf(d3,plain,
'prebool$udifference'(sK66,sK64,sK65) = 'set$udifference'(sK64,sK65),
inference(resolution,[status(thm)],[d2,c62]) ).
cnf(d4,plain,
( ~ element(sK65,sK66)
| ~ element(sK64,sK66)
| ~ preboolean(sK66)
| empty(sK66)
| element('set$udifference'(sK64,sK65),sK66) ),
inference(superposition,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( ~ element(sK65,sK66)
| ~ element(sK64,sK66)
| element('set$udifference'(sK64,sK65),sK66)
| ~ preboolean(sK66) ),
inference(resolution,[status(thm)],[c59,d4]) ).
cnf(d6,plain,
( ~ element(sK65,sK66)
| ~ element(sK64,sK66)
| element('set$udifference'(sK64,sK65),sK66) ),
inference(resolution,[status(thm)],[c60,d5]) ).
cnf(d7,plain,
( ~ element(sK65,sK66)
| element('set$udifference'(sK64,sK65),sK66) ),
inference(resolution,[status(thm)],[c61,d6]) ).
cnf(d8,plain,
element('set$udifference'(sK64,sK65),sK66),
inference(resolution,[status(thm)],[c62,d7]) ).
cnf(d9,plain,
'prebool$udifference'(sK66,sK64,'set$udifference'(sK64,sK65)) = 'set$udifference'(sK64,'set$udifference'(sK64,sK65)),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
'prebool$udifference'(sK66,sK64,'set$udifference'(sK64,sK65)) = 'set$uintersection2'(sK64,sK65),
inference(demodulation,[status(thm)],[d9,c52]) ).
cnf(d11,plain,
( ~ element('set$udifference'(sK64,sK65),sK66)
| ~ element(sK64,sK66)
| ~ preboolean(sK66)
| empty(sK66)
| element('set$uintersection2'(sK64,sK65),sK66) ),
inference(superposition,[status(thm)],[d10,c7]) ).
cnf(d12,plain,
( ~ element(sK64,sK66)
| ~ element('set$udifference'(sK64,sK65),sK66)
| element('set$uintersection2'(sK64,sK65),sK66)
| ~ preboolean(sK66) ),
inference(resolution,[status(thm)],[c59,d11]) ).
cnf(d13,plain,
( ~ element(sK64,sK66)
| ~ element('set$udifference'(sK64,sK65),sK66)
| element('set$uintersection2'(sK64,sK65),sK66) ),
inference(resolution,[status(thm)],[c60,d12]) ).
cnf(d14,plain,
( ~ element('set$udifference'(sK64,sK65),sK66)
| element('set$uintersection2'(sK64,sK65),sK66) ),
inference(resolution,[status(thm)],[c61,d13]) ).
cnf(d15,plain,
~ element('set$udifference'(sK64,sK65),sK66),
inference(resolution,[status(thm)],[c63,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d8,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU102+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
% 0.07/0.34 % Computer : n010.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 08:36:30 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.89/2.75 % SZS status Theorem for theBenchmark.p
% 11.89/2.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------