%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV399+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 : n013.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 09:02:15 AM UTC 2026
% Result : Theorem 17.76s 2.78s
% Output : CNFRefutation 17.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 27 ~; 22 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l35_li3637,lemma,
! [X0,X1,X2,X3] :
( ( 'less$uthan'(X3,X2)
& 'pair$uin$ulist'(X0,X1,X2) )
=> 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X2) ) ).
fof(l35_li3839,lemma,
! [X0,X1,X2,X3] :
( ( 'strictly$uless$uthan'(X2,X3)
& 'pair$uin$ulist'(X0,X1,X2) )
=> 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X3) ) ).
fof(transitivity,axiom,
! [X0,X1,X2] :
( ( 'less$uthan'(X1,X2)
& 'less$uthan'(X0,X1) )
=> 'less$uthan'(X0,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(l35_co,conjecture,
! [X0] :
( ? [X1,X2] :
( 'strictly$uless$uthan'(X1,X2)
& 'pair$uin$ulist'(X0,X1,X2) )
=> ! [X3] :
? [X4,X5] :
( 'strictly$uless$uthan'(X4,X5)
& 'pair$uin$ulist'('update$uslb'(X0,X3),X4,X5) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ? [X1,X2] :
( 'strictly$uless$uthan'(X1,X2)
& 'pair$uin$ulist'(X0,X1,X2) )
=> ! [X3] :
? [X4,X5] :
( 'strictly$uless$uthan'(X4,X5)
& 'pair$uin$ulist'('update$uslb'(X0,X3),X4,X5) ) ),
inference(negate_conjecture,[status(cth)],[l35_co]) ).
cnf(c0,plain,
( 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X2)
| ~ 'less$uthan'(X3,X2)
| ~ 'pair$uin$ulist'(X0,X1,X2) ),
inference(clausification,[status(esa)],[l35_li3637]) ).
cnf(c1,plain,
( 'pair$uin$ulist'('update$uslb'(X0,X3),X1,X3)
| ~ 'strictly$uless$uthan'(X2,X3)
| ~ 'pair$uin$ulist'(X0,X1,X2) ),
inference(clausification,[status(esa)],[l35_li3839]) ).
cnf(c2,plain,
( 'less$uthan'(X0,X2)
| ~ 'less$uthan'(X1,X2)
| ~ 'less$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[transitivity]) ).
cnf(c3,plain,
( 'less$uthan'(X1,X0)
| 'less$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[totality]) ).
cnf(c5,plain,
( 'less$uthan'(X0,X1)
| ~ 'strictly$uless$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[stricly_smaller_definition]) ).
cnf(c6,plain,
( ~ 'less$uthan'(X1,X0)
| ~ 'strictly$uless$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[stricly_smaller_definition]) ).
cnf(c7,plain,
( 'less$uthan'(X1,X0)
| ~ 'less$uthan'(X0,X1)
| 'strictly$uless$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[stricly_smaller_definition]) ).
cnf(c27,plain,
'pair$uin$ulist'(sK55,sK56,sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c28,plain,
'strictly$uless$uthan'(sK56,sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c29,plain,
( ~ 'strictly$uless$uthan'(X0,X1)
| ~ 'pair$uin$ulist'('update$uslb'(sK55,sK58),X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'less$uthan'(sK58,X1)
| ~ 'pair$uin$ulist'(sK55,X0,X1)
| ~ 'strictly$uless$uthan'(X0,X1) ),
inference(resolution,[status(thm)],[c29,c0]) ).
cnf(d1,plain,
( ~ 'strictly$uless$uthan'(sK56,sK57)
| ~ 'less$uthan'(sK58,sK57) ),
inference(resolution,[status(thm)],[d0,c27]) ).
cnf(d2,plain,
~ 'less$uthan'(sK58,sK57),
inference(resolution,[status(thm)],[c28,d1]) ).
cnf(d3,plain,
'less$uthan'(sK57,sK58),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( 'less$uthan'(sK57,X0)
| ~ 'less$uthan'(sK58,X0) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
'less$uthan'(sK56,sK57),
inference(resolution,[status(thm)],[c5,c28]) ).
cnf(d6,plain,
( 'less$uthan'(sK56,X0)
| ~ 'less$uthan'(sK57,X0) ),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
'less$uthan'(sK56,sK58),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( 'strictly$uless$uthan'(sK56,sK58)
| 'less$uthan'(sK58,sK56) ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
( ~ 'strictly$uless$uthan'(sK57,X0)
| 'pair$uin$ulist'('update$uslb'(sK55,X0),sK56,X0) ),
inference(resolution,[status(thm)],[c1,c27]) ).
cnf(d10,plain,
( ~ 'strictly$uless$uthan'(sK56,sK58)
| ~ 'strictly$uless$uthan'(sK57,sK58) ),
inference(resolution,[status(thm)],[d9,c29]) ).
cnf(d11,plain,
( 'strictly$uless$uthan'(sK57,sK58)
| 'less$uthan'(sK58,sK57) ),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d12,plain,
'strictly$uless$uthan'(sK57,sK58),
inference(resolution,[status(thm)],[d2,d11]) ).
cnf(d13,plain,
~ 'strictly$uless$uthan'(sK56,sK58),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
'less$uthan'(sK58,sK56),
inference(resolution,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
'less$uthan'(sK57,sK56),
inference(resolution,[status(thm)],[d14,d4]) ).
cnf(d16,plain,
~ 'less$uthan'(sK57,sK56),
inference(resolution,[status(thm)],[c6,c28]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV399+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n013.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 13:40:36 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.76/2.78 % SZS status Theorem for theBenchmark.p
% 17.76/2.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------