%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV369+1 : 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 : n005.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 09:02:11 AM UTC 2026
% Result : Theorem 11.57s 2.75s
% Output : CNFRefutation 11.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 7 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 6 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax8,axiom,
! [X0] : ~ 'contains$upq'('create$upq',X0) ).
fof(ax20,axiom,
! [X0] : ~ 'contains$uslb'('create$uslb',X0) ).
fof(ax39,axiom,
! [X0,X1,X2,X3] :
( 'contains$ucpq'(triple(X0,X1,X2),X3)
<=> 'contains$uslb'(X1,X3) ) ).
fof(ax54,axiom,
! [X0,X1] : i(triple(X0,'create$uslb',X1)) = 'create$upq' ).
fof(ax56,axiom,
! [X0,X1] :
( 'pi$usharp$uremove'(X0,X1)
<=> 'contains$upq'(X0,X1) ) ).
fof(l5_co,conjecture,
! [X0,X1,X2] :
( 'contains$ucpq'(triple(X0,'create$uslb',X1),X2)
<=> 'contains$upq'(i(triple(X0,'create$uslb',X1)),X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( 'contains$ucpq'(triple(X0,'create$uslb',X1),X2)
<=> 'contains$upq'(i(triple(X0,'create$uslb',X1)),X2) ),
inference(negate_conjecture,[status(cth)],[l5_co]) ).
cnf(c9,plain,
~ 'contains$upq'('create$upq',X0),
inference(clausification,[status(esa)],[ax8]) ).
cnf(c25,plain,
~ 'contains$uslb'('create$uslb',X0),
inference(clausification,[status(esa)],[ax20]) ).
cnf(c50,plain,
( 'contains$uslb'(X1,X3)
| ~ 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[ax39]) ).
cnf(c66,plain,
i(triple(X0,'create$uslb',X1)) = 'create$upq',
inference(clausification,[status(esa)],[ax54]) ).
cnf(c68,plain,
( 'contains$upq'(X0,X1)
| ~ 'pi$usharp$uremove'(X0,X1) ),
inference(clausification,[status(esa)],[ax56]) ).
cnf(c69,plain,
( ~ 'contains$upq'(X0,X1)
| 'pi$usharp$uremove'(X0,X1) ),
inference(clausification,[status(esa)],[ax56]) ).
cnf(c87,plain,
( 'contains$upq'(i(triple(sK167,'create$uslb',sK168)),sK169)
| 'contains$ucpq'(triple(sK167,'create$uslb',sK168),sK169) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'contains$ucpq'(triple(sK167,'create$uslb',sK168),sK169)
| 'pi$usharp$uremove'(i(triple(sK167,'create$uslb',sK168)),sK169) ),
inference(resolution,[status(thm)],[c69,c87]) ).
cnf(d1,plain,
( 'pi$usharp$uremove'('create$upq',sK169)
| 'contains$ucpq'(triple(sK167,'create$uslb',sK168),sK169) ),
inference(demodulation,[status(thm)],[d0,c66]) ).
cnf(d2,plain,
( 'contains$uslb'('create$uslb',sK169)
| 'pi$usharp$uremove'('create$upq',sK169) ),
inference(resolution,[status(thm)],[d1,c50]) ).
cnf(d3,plain,
'pi$usharp$uremove'('create$upq',sK169),
inference(resolution,[status(thm)],[c25,d2]) ).
cnf(d4,plain,
'contains$upq'('create$upq',sK169),
inference(resolution,[status(thm)],[d3,c68]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c9,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:38:32 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.57/2.75 % SZS status Theorem for theBenchmark.p
% 11.57/2.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------