%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU152+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:41:03 AM UTC 2026
% Result : Theorem 10.48s 1.96s
% Output : CNFRefutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 3 |; 0 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_xboole_0,axiom,
! [X0,X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0) ).
fof(l2_zfmisc_1,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ) ).
fof(t12_xboole_1,axiom,
! [X0,X1] :
( subset(X0,X1)
=> 'set$uunion2'(X0,X1) = X1 ) ).
fof(l23_zfmisc_1,conjecture,
! [X0,X1] :
( in(X0,X1)
=> 'set$uunion2'(singleton(X0),X1) = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> 'set$uunion2'(singleton(X0),X1) = X1 ),
inference(negate_conjecture,[status(cth)],[l23_zfmisc_1]) ).
cnf(c1,plain,
'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(c4,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(clausification,[status(esa)],[l2_zfmisc_1]) ).
cnf(c6,plain,
( 'set$uunion2'(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t12_xboole_1]) ).
cnf(c7,plain,
in(sK12,sK13),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
'set$uunion2'(singleton(sK12),sK13) != sK13,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X0,X1)
| 'set$uunion2'(singleton(X0),X1) = X1 ),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(d1,plain,
'set$uunion2'(singleton(sK12),sK13) = sK13,
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
'set$uunion2'(sK13,singleton(sK12)) = sK13,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'set$uunion2'(sK13,singleton(sK12)) != sK13,
inference(demodulation,[status(thm)],[c8,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU152+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n007.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 08:39:24 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.48/1.96 % SZS status Theorem for theBenchmark.p
% 10.48/1.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------