%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV381+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 : n017.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 09:02:13 AM UTC 2026
% Result : Theorem 15.90s 7.59s
% Output : CNFRefutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 74 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 24 ~; 26 |; 2 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 68 ( 8 sgn 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l17_li56,lemma,
! [X0,X1,X2,X3] :
( 'contains$ucpq'(triple(X0,X1,X2),X3)
<=> 'contains$upq'(i(triple(X0,X1,X2)),X3) ) ).
fof(l17_l18,lemma,
! [X0,X1,X2] :
( ? [X3] :
( 'strictly$uless$uthan'(X3,'findmin$ucpq$ures'(triple(X0,X1,X2)))
& 'contains$ucpq'(triple(X0,X1,X2),X3) )
=> ~ phi('findmin$ucpq$ueff'(triple(X0,X1,X2))) ) ).
fof(totality,axiom,
! [X0,X1] :
( 'less$uthan'(X1,X0)
| 'less$uthan'(X0,X1) ) ).
fof(stricly_smaller_definition,axiom,
! [X0,X1] :
( 'strictly$uless$uthan'(X0,X1)
<=> ( ~ 'less$uthan'(X1,X0)
& 'less$uthan'(X0,X1) ) ) ).
fof(ax8,axiom,
! [X0] : ~ 'contains$upq'('create$upq',X0) ).
fof(ax10,axiom,
! [X0,X1] :
( 'issmallestelement$upq'(X0,X1)
<=> ! [X2] :
( 'contains$upq'(X0,X2)
=> 'less$uthan'(X1,X2) ) ) ).
fof(ax50,axiom,
! [X0,X1] : 'findmin$ucpq$ures'(triple(X0,'create$uslb',X1)) = bottom ).
fof(ax51,axiom,
! [X0,X1,X2,X3] :
( X1 != 'create$uslb'
=> 'findmin$ucpq$ures'(triple(X0,X1,X2)) = 'findmin$upqp$ures'(X0) ) ).
fof(ax54,axiom,
! [X0,X1] : i(triple(X0,'create$uslb',X1)) = 'create$upq' ).
fof(l17_co,conjecture,
! [X0,X1,X2] :
( phi('findmin$ucpq$ueff'(triple(X0,X1,X2)))
=> 'issmallestelement$upq'(i(triple(X0,X1,X2)),'findmin$ucpq$ures'(triple(X0,X1,X2))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( phi('findmin$ucpq$ueff'(triple(X0,X1,X2)))
=> 'issmallestelement$upq'(i(triple(X0,X1,X2)),'findmin$ucpq$ures'(triple(X0,X1,X2))) ),
inference(negate_conjecture,[status(cth)],[l17_co]) ).
cnf(c1,plain,
( ~ 'contains$upq'(i(triple(X0,X1,X2)),X3)
| 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[l17_li56]) ).
cnf(c2,plain,
( ~ phi('findmin$ucpq$ueff'(triple(X0,X1,X2)))
| ~ 'strictly$uless$uthan'(X3,'findmin$ucpq$ures'(triple(X0,X1,X2)))
| ~ 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[l17_l18]) ).
cnf(c4,plain,
( 'less$uthan'(X1,X0)
| 'less$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[totality]) ).
cnf(c8,plain,
( 'less$uthan'(X1,X0)
| ~ 'less$uthan'(X0,X1)
| 'strictly$uless$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[stricly_smaller_definition]) ).
cnf(c12,plain,
~ 'contains$upq'('create$upq',X0),
inference(clausification,[status(esa)],[ax8]) ).
cnf(c17,plain,
( 'contains$upq'(X0,sK26(X0,X1))
| 'issmallestelement$upq'(X0,X1) ),
inference(clausification,[status(esa)],[ax10]) ).
cnf(c18,plain,
( ~ 'less$uthan'(X1,sK26(X0,X1))
| 'issmallestelement$upq'(X0,X1) ),
inference(clausification,[status(esa)],[ax10]) ).
cnf(c65,plain,
'findmin$ucpq$ures'(triple(X0,'create$uslb',X1)) = bottom,
inference(clausification,[status(esa)],[ax50]) ).
cnf(c66,plain,
( 'findmin$ucpq$ures'(triple(X1,X0,X2)) = 'findmin$upqp$ures'(X1)
| X0 = 'create$uslb' ),
inference(clausification,[status(esa)],[ax51]) ).
cnf(c69,plain,
i(triple(X0,'create$uslb',X1)) = 'create$upq',
inference(clausification,[status(esa)],[ax54]) ).
cnf(c89,plain,
phi('findmin$ucpq$ueff'(triple(sK175,sK176,sK177))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
~ 'issmallestelement$upq'(i(triple(sK175,sK176,sK177)),'findmin$ucpq$ures'(triple(sK175,sK176,sK177))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK176 = 'create$uslb'
| ~ 'issmallestelement$upq'(i(triple(sK175,sK176,sK177)),'findmin$upqp$ures'(sK175)) ),
inference(superposition,[status(thm)],[c66,c90]) ).
cnf(d1,plain,
( 'less$uthan'(X1,X0)
| 'less$uthan'(X1,X0)
| 'strictly$uless$uthan'(X0,X1) ),
inference(resolution,[status(thm)],[c8,c4]) ).
cnf(d2,plain,
( 'contains$ucpq'(triple(X0,X1,X2),sK26(i(triple(X0,X1,X2)),X3))
| 'issmallestelement$upq'(i(triple(X0,X1,X2)),X3) ),
inference(resolution,[status(thm)],[c17,c1]) ).
cnf(d3,plain,
( X1 = 'create$uslb'
| ~ phi('findmin$ucpq$ueff'(triple(X0,X1,X2)))
| ~ 'contains$ucpq'(triple(X0,X1,X2),X3)
| ~ 'strictly$uless$uthan'(X3,'findmin$upqp$ures'(X0)) ),
inference(superposition,[status(thm)],[c66,c2]) ).
cnf(d4,plain,
( ~ 'strictly$uless$uthan'(X0,'findmin$upqp$ures'(sK175))
| ~ 'contains$ucpq'(triple(sK175,sK176,sK177),X0)
| sK176 = 'create$uslb' ),
inference(resolution,[status(thm)],[d3,c89]) ).
cnf(d5,plain,
( 'issmallestelement$upq'(i(triple(sK175,sK176,sK177)),X0)
| ~ 'strictly$uless$uthan'(sK26(i(triple(sK175,sK176,sK177)),X0),'findmin$upqp$ures'(sK175))
| sK176 = 'create$uslb' ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( 'less$uthan'('findmin$upqp$ures'(sK175),sK26(i(triple(sK175,sK176,sK177)),X0))
| 'issmallestelement$upq'(i(triple(sK175,sK176,sK177)),X0)
| sK176 = 'create$uslb' ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( 'issmallestelement$upq'(i(triple(sK175,sK176,sK177)),'findmin$upqp$ures'(sK175))
| 'issmallestelement$upq'(i(triple(sK175,sK176,sK177)),'findmin$upqp$ures'(sK175))
| sK176 = 'create$uslb' ),
inference(resolution,[status(thm)],[d6,c18]) ).
cnf(d8,plain,
( sK176 = 'create$uslb'
| sK176 = 'create$uslb' ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
~ 'issmallestelement$upq'(i(triple(sK175,'create$uslb',sK177)),'findmin$ucpq$ures'(triple(sK175,sK176,sK177))),
inference(demodulation,[status(thm)],[c90,d8]) ).
cnf(d10,plain,
~ 'issmallestelement$upq'(i(triple(sK175,'create$uslb',sK177)),'findmin$ucpq$ures'(triple(sK175,'create$uslb',sK177))),
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
~ 'issmallestelement$upq'('create$upq','findmin$ucpq$ures'(triple(sK175,'create$uslb',sK177))),
inference(demodulation,[status(thm)],[d10,c69]) ).
cnf(d12,plain,
~ 'issmallestelement$upq'('create$upq',bottom),
inference(demodulation,[status(thm)],[d11,c65]) ).
cnf(d13,plain,
'issmallestelement$upq'('create$upq',X0),
inference(resolution,[status(thm)],[c17,c12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV381+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
% 0.10/5.55 % Computer : n017.cluster.edu
% 0.10/5.55 % Model : x86_64 x86_64
% 0.10/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.55 % Memory : 8046.5625MB
% 0.10/5.55 % OS : Linux 6.8.0-71-generic
% 0.10/5.55 % CPULimit : 300
% 0.10/5.55 % WCLimit : 300
% 0.10/5.55 % DateTime : Sat Sep 26 13:35:27 UTC 2026
% 0.10/5.55 % CPUTime :
% 0.10/5.55 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.90/7.59 % SZS status Theorem for theBenchmark.p
% 15.90/7.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------