%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU200+2 : 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 : n008.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 08:41:15 AM UTC 2026
% Result : Theorem 1.94s 9.77s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 46 ( 7 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 11 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 8 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_xboole_0,axiom,
! [X0,X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0) ).
fof(dt_k8_relat_1,axiom,
! [X0,X1] :
( relation(X1)
=> relation('relation$urng$urestriction'(X0,X1)) ) ).
fof(t117_relat_1,lemma,
! [X0,X1] :
( relation(X1)
=> subset('relation$urng$urestriction'(X0,X1),X1) ) ).
fof(t12_xboole_1,lemma,
! [X0,X1] :
( subset(X0,X1)
=> 'set$uunion2'(X0,X1) = X1 ) ).
fof(t25_relat_1,lemma,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset('relation$urng'(X0),'relation$urng'(X1))
& subset('relation$udom'(X0),'relation$udom'(X1)) ) ) ) ) ).
fof(t7_xboole_1,lemma,
! [X0,X1] : subset(X0,'set$uunion2'(X0,X1)) ).
fof(t118_relat_1,conjecture,
! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$urng$urestriction'(X0,X1)),'relation$urng'(X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset('relation$urng'('relation$urng$urestriction'(X0,X1)),'relation$urng'(X1)) ),
inference(negate_conjecture,[status(cth)],[t118_relat_1]) ).
cnf(c4,plain,
'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(c214,plain,
( relation('relation$urng$urestriction'(X1,X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k8_relat_1]) ).
cnf(c286,plain,
( subset('relation$urng$urestriction'(X1,X0),X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t117_relat_1]) ).
cnf(c290,plain,
( 'set$uunion2'(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t12_xboole_1]) ).
cnf(c305,plain,
( subset('relation$urng'(X0),'relation$urng'(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t25_relat_1]) ).
cnf(c381,plain,
subset(X0,'set$uunion2'(X0,X1)),
inference(clausification,[status(esa)],[t7_xboole_1]) ).
cnf(c402,plain,
relation(sK476),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c403,plain,
~ subset('relation$urng'('relation$urng$urestriction'(sK475,sK476)),'relation$urng'(sK476)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset('relation$urng$urestriction'(sK475,sK476),sK476)
| ~ relation('relation$urng$urestriction'(sK475,sK476))
| ~ relation(sK476) ),
inference(resolution,[status(thm)],[c305,c403]) ).
cnf(d1,plain,
( ~ subset('relation$urng$urestriction'(sK475,sK476),sK476)
| ~ relation('relation$urng$urestriction'(sK475,sK476)) ),
inference(resolution,[status(thm)],[c402,d0]) ).
cnf(d2,plain,
subset(X0,'set$uunion2'(X1,X0)),
inference(superposition,[status(thm)],[c4,c381]) ).
cnf(d3,plain,
( ~ relation(X1)
| 'set$uunion2'('relation$urng$urestriction'(X0,X1),X1) = X1 ),
inference(resolution,[status(thm)],[c290,c286]) ).
cnf(d4,plain,
( ~ relation(X1)
| 'set$uunion2'(X1,'relation$urng$urestriction'(X0,X1)) = X1 ),
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
'set$uunion2'(sK476,'relation$urng$urestriction'(X0,sK476)) = sK476,
inference(resolution,[status(thm)],[d4,c402]) ).
cnf(d6,plain,
subset('relation$urng$urestriction'(X0,sK476),sK476),
inference(superposition,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
~ relation('relation$urng$urestriction'(sK475,sK476)),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
~ relation(sK476),
inference(resolution,[status(thm)],[d7,c214]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c402,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n008.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 08:49:39 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.94/9.77 % SZS status Theorem for theBenchmark.p
% 1.94/9.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------