%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU146+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 : 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 08:41:01 AM UTC 2026
% Result : Theorem 10.36s 1.91s
% Output : CNFRefutation 10.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 86 ( 39 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 21 ~; 42 |; 1 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ).
fof(l2_zfmisc_1,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ) ).
fof(l3_zfmisc_1,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,'set$udifference'(X1,singleton(X2)))
| in(X2,X0) ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : subset(X0,X0) ).
fof(t2_xboole_1,axiom,
! [X0] : subset('empty$uset',X0) ).
fof(t37_xboole_1,axiom,
! [X0,X1] :
( 'set$udifference'(X0,X1) = 'empty$uset'
<=> subset(X0,X1) ) ).
fof(t3_xboole_1,axiom,
! [X0] :
( subset(X0,'empty$uset')
=> X0 = 'empty$uset' ) ).
fof(l4_zfmisc_1,conjecture,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( X0 = singleton(X1)
| X0 = 'empty$uset' ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( X0 = singleton(X1)
| X0 = 'empty$uset' ) ),
inference(negate_conjecture,[status(cth)],[l4_zfmisc_1]) ).
cnf(c3,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[d10_xboole_0]) ).
cnf(c5,plain,
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(clausification,[status(esa)],[l2_zfmisc_1]) ).
cnf(c6,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(clausification,[status(esa)],[l2_zfmisc_1]) ).
cnf(c7,plain,
( subset(X0,'set$udifference'(X1,singleton(X2)))
| in(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[l3_zfmisc_1]) ).
cnf(c10,plain,
subset(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(c11,plain,
subset('empty$uset',X0),
inference(clausification,[status(esa)],[t2_xboole_1]) ).
cnf(c13,plain,
( ~ subset(X0,X1)
| 'set$udifference'(X0,X1) = 'empty$uset' ),
inference(clausification,[status(esa)],[t37_xboole_1]) ).
cnf(c14,plain,
( X0 = 'empty$uset'
| ~ subset(X0,'empty$uset') ),
inference(clausification,[status(esa)],[t3_xboole_1]) ).
cnf(c16,plain,
( sK17 = singleton(sK18)
| sK17 = 'empty$uset'
| subset(sK17,singleton(sK18)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
( ~ subset(sK17,singleton(sK18))
| sK17 != 'empty$uset' ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
( ~ subset(sK17,singleton(sK18))
| sK17 != singleton(sK18) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
in(X0,singleton(X0)),
inference(resolution,[status(thm)],[c10,c5]) ).
cnf(d1,plain,
( ~ subset(X1,singleton(X0))
| X1 = singleton(X0)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(d2,plain,
( sK17 = singleton(sK18)
| sK17 = 'empty$uset'
| ~ in(sK18,sK17)
| sK17 = singleton(sK18) ),
inference(resolution,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
( sK17 = singleton(sK18)
| sK17 = 'empty$uset'
| 'set$udifference'(sK17,singleton(sK18)) = 'empty$uset' ),
inference(resolution,[status(thm)],[c13,c16]) ).
cnf(d4,plain,
( sK17 = singleton(sK18)
| sK17 = 'empty$uset'
| ~ subset(X0,sK17)
| in(sK18,X0)
| subset(X0,'empty$uset') ),
inference(superposition,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( subset(sK17,'empty$uset')
| in(sK18,sK17)
| sK17 = singleton(sK18)
| sK17 = 'empty$uset' ),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
( sK17 = singleton(sK18)
| sK17 = 'empty$uset'
| subset(sK17,'empty$uset')
| sK17 = singleton(sK18)
| sK17 = 'empty$uset' ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( sK17 = 'empty$uset'
| sK17 = singleton(sK18)
| sK17 = 'empty$uset' ),
inference(resolution,[status(thm)],[d6,c14]) ).
cnf(d8,plain,
( sK17 = 'empty$uset'
| ~ in(sK18,X0)
| subset(sK17,X0) ),
inference(superposition,[status(thm)],[d7,c6]) ).
cnf(d9,plain,
( subset(sK17,singleton(sK18))
| sK17 = 'empty$uset' ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( sK17 = 'empty$uset'
| ~ subset(sK17,singleton(sK18))
| sK17 != sK17 ),
inference(superposition,[status(thm)],[d7,c19]) ).
cnf(d11,plain,
( ~ subset(sK17,singleton(sK18))
| sK17 = 'empty$uset' ),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
( sK17 = 'empty$uset'
| sK17 = 'empty$uset' ),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
~ subset(sK17,singleton(sK18)),
inference(resolution,[status(thm)],[d12,c17]) ).
cnf(d14,plain,
subset(sK17,X0),
inference(demodulation,[status(thm)],[c11,d12]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU146+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
% 0.13/0.38 % Computer : n010.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 08:40:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.36/1.91 % SZS status Theorem for theBenchmark.p
% 10.36/1.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------