%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU172+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:41:09 AM UTC 2026
% Result : Theorem 36.26s 6.71s
% Output : CNFRefutation 36.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 26 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 4 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_xboole_0,axiom,
! [X0,X1,X2] :
( X2 = 'set$udifference'(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ) ).
fof(d5_subset_1,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> 'subset$ucomplement'(X0,X1) = 'set$udifference'(X0,X1) ) ).
fof(t54_subset_1,conjecture,
! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,'subset$ucomplement'(X0,X2)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,'subset$ucomplement'(X0,X2)) ) ),
inference(negate_conjecture,[status(cth)],[t54_subset_1]) ).
cnf(c72,plain,
( ~ in(X3,X1)
| ~ in(X3,X2)
| 'set$udifference'(X0,X1) != X2 ),
inference(clausification,[status(esa)],[d4_xboole_0]) ).
cnf(c79,plain,
( 'set$udifference'(X1,X0) = 'subset$ucomplement'(X1,X0)
| ~ element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[d5_subset_1]) ).
cnf(c199,plain,
element(sK266,powerset(sK264)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c200,plain,
in(sK265,sK266),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
in(sK265,'subset$ucomplement'(sK264,sK266)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'set$udifference'(sK264,sK266) = 'subset$ucomplement'(sK264,sK266),
inference(resolution,[status(thm)],[c79,c199]) ).
cnf(d1,plain,
in(sK265,'set$udifference'(sK264,sK266)),
inference(demodulation,[status(thm)],[c201,d0]) ).
cnf(d2,plain,
( ~ in(X0,X2)
| ~ in(X0,'set$udifference'(X1,X2)) ),
inference(equality_resolution,[status(thm)],[c72]) ).
cnf(d3,plain,
~ in(sK265,'set$udifference'(X0,sK266)),
inference(resolution,[status(thm)],[d2,c200]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU172+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n007.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Sat Sep 26 08:42:39 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.26/6.71 % SZS status Theorem for theBenchmark.p
% 36.26/6.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------