%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV372+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 : n004.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 09:02:12 AM UTC 2026
% Result : Theorem 14.79s 3.47s
% Output : CNFRefutation 14.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 55 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 14 ~; 15 |; 1 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 13 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l8_li56,lemma,
! [X0,X1,X2,X3] :
( 'contains$ucpq'(triple(X0,X1,X2),X3)
<=> 'contains$upq'(i(triple(X0,X1,X2)),X3) ) ).
fof(l8_lX,lemma,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ phi(triple(X0,X1,X2)) ) ).
fof(ax39,axiom,
! [X0,X1,X2,X3] :
( 'contains$ucpq'(triple(X0,X1,X2),X3)
<=> 'contains$uslb'(X1,X3) ) ).
fof(ax40,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ) ).
fof(ax46,axiom,
! [X0,X1] : 'findmin$ucpq$ueff'(triple(X0,'create$uslb',X1)) = triple(X0,'create$uslb',bad) ).
fof(ax47,axiom,
! [X0,X1,X2,X3] :
( ( ~ 'contains$uslb'(X1,'findmin$upqp$ures'(X0))
& X1 != 'create$uslb' )
=> 'findmin$ucpq$ueff'(triple(X0,X1,X2)) = triple(X0,'update$uslb'(X1,'findmin$upqp$ures'(X0)),bad) ) ).
fof(ax51,axiom,
! [X0,X1,X2,X3] :
( X1 != 'create$uslb'
=> 'findmin$ucpq$ures'(triple(X0,X1,X2)) = 'findmin$upqp$ures'(X0) ) ).
fof(l8_co,conjecture,
! [X0,X1,X2] :
( phi('findmin$ucpq$ueff'(triple(X0,X1,X2)))
=> 'contains$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)))
=> 'contains$upq'(i(triple(X0,X1,X2)),'findmin$ucpq$ures'(triple(X0,X1,X2))) ),
inference(negate_conjecture,[status(cth)],[l8_co]) ).
cnf(c0,plain,
( 'contains$upq'(i(triple(X0,X1,X2)),X3)
| ~ 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[l8_li56]) ).
cnf(c3,plain,
( ~ phi(triple(X0,X1,X2))
| ok(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[l8_lX]) ).
cnf(c55,plain,
( ~ 'contains$uslb'(X1,X3)
| 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[ax39]) ).
cnf(c56,plain,
~ ok(triple(X0,X1,bad)),
inference(clausification,[status(esa)],[ax40]) ).
cnf(c62,plain,
'findmin$ucpq$ueff'(triple(X0,'create$uslb',X1)) = triple(X0,'create$uslb',bad),
inference(clausification,[status(esa)],[ax46]) ).
cnf(c63,plain,
( 'findmin$ucpq$ueff'(triple(X1,X0,X2)) = triple(X1,'update$uslb'(X0,'findmin$upqp$ures'(X1)),bad)
| 'contains$uslb'(X0,'findmin$upqp$ures'(X1))
| X0 = 'create$uslb' ),
inference(clausification,[status(esa)],[ax47]) ).
cnf(c67,plain,
( 'findmin$ucpq$ures'(triple(X1,X0,X2)) = 'findmin$upqp$ures'(X1)
| X0 = 'create$uslb' ),
inference(clausification,[status(esa)],[ax51]) ).
cnf(c90,plain,
phi('findmin$ucpq$ueff'(triple(sK177,sK178,sK179))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c91,plain,
~ 'contains$upq'(i(triple(sK177,sK178,sK179)),'findmin$ucpq$ures'(triple(sK177,sK178,sK179))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'contains$ucpq'(triple(sK177,sK178,sK179),'findmin$ucpq$ures'(triple(sK177,sK178,sK179))),
inference(resolution,[status(thm)],[c91,c0]) ).
cnf(d1,plain,
~ 'contains$uslb'(sK178,'findmin$ucpq$ures'(triple(sK177,sK178,sK179))),
inference(resolution,[status(thm)],[c55,d0]) ).
cnf(d2,plain,
( sK178 = 'create$uslb'
| ~ 'contains$uslb'(sK178,'findmin$upqp$ures'(sK177)) ),
inference(superposition,[status(thm)],[c67,d1]) ).
cnf(d3,plain,
( 'findmin$ucpq$ueff'(triple(sK177,sK178,X0)) = triple(sK177,'update$uslb'(sK178,'findmin$upqp$ures'(sK177)),bad)
| sK178 = 'create$uslb'
| sK178 = 'create$uslb' ),
inference(resolution,[status(thm)],[d2,c63]) ).
cnf(d4,plain,
( sK178 = 'create$uslb'
| sK178 = 'create$uslb'
| 'findmin$ucpq$ueff'(triple(sK177,sK178,X1)) = 'findmin$ucpq$ueff'(triple(sK177,sK178,X0)) ),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d5,plain,
( sK178 = 'create$uslb'
| phi('findmin$ucpq$ueff'(triple(sK177,sK178,X0))) ),
inference(superposition,[status(thm)],[d4,c90]) ).
cnf(d6,plain,
( sK178 = 'create$uslb'
| sK178 = 'create$uslb'
| phi(triple(sK177,'update$uslb'(sK178,'findmin$upqp$ures'(sK177)),bad)) ),
inference(superposition,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
( ok(triple(sK177,'update$uslb'(sK178,'findmin$upqp$ures'(sK177)),bad))
| sK178 = 'create$uslb' ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
sK178 = 'create$uslb',
inference(resolution,[status(thm)],[c56,d7]) ).
cnf(d9,plain,
phi('findmin$ucpq$ueff'(triple(sK177,'create$uslb',sK179))),
inference(demodulation,[status(thm)],[c90,d8]) ).
cnf(d10,plain,
phi(triple(sK177,'create$uslb',bad)),
inference(demodulation,[status(thm)],[d9,c62]) ).
cnf(d11,plain,
ok(triple(sK177,'create$uslb',bad)),
inference(resolution,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c56,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV372+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n004.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 13:39:07 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.79/3.47 % SZS status Theorem for theBenchmark.p
% 14.79/3.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------