%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV411+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 : n012.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 09:02:17 AM UTC 2026
% Result : Theorem 11.31s 7.46s
% Output : CNFRefutation 11.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 37 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 11 ~; 10 |; 1 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 9 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax21,axiom,
! [X0,X1,X2,X3] :
( 'contains$uslb'('insert$uslb'(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| 'contains$uslb'(X0,X2) ) ) ).
fof(ax23,axiom,
! [X0,X1,X2,X3,X4] :
( 'pair$uin$ulist'('insert$uslb'(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| 'pair$uin$ulist'(X0,X2,X4) ) ) ).
fof(l47_co,conjecture,
! [X0] :
( ! [X1] :
( 'contains$uslb'(X0,X1)
=> ? [X2] : 'pair$uin$ulist'(X0,X1,X2) )
=> ! [X3,X4,X5] :
( 'contains$uslb'('insert$uslb'(X0,pair(X4,X5)),X3)
=> ? [X6] : 'pair$uin$ulist'('insert$uslb'(X0,pair(X4,X5)),X3,X6) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( 'contains$uslb'(X0,X1)
=> ? [X2] : 'pair$uin$ulist'(X0,X1,X2) )
=> ! [X3,X4,X5] :
( 'contains$uslb'('insert$uslb'(X0,pair(X4,X5)),X3)
=> ? [X6] : 'pair$uin$ulist'('insert$uslb'(X0,pair(X4,X5)),X3,X6) ) ),
inference(negate_conjecture,[status(cth)],[l47_co]) ).
cnf(c10,plain,
( X1 = X3
| 'contains$uslb'(X0,X3)
| ~ 'contains$uslb'('insert$uslb'(X0,pair(X1,X2)),X3) ),
inference(clausification,[status(esa)],[ax21]) ).
cnf(c16,plain,
( ~ 'pair$uin$ulist'(X0,X3,X4)
| 'pair$uin$ulist'('insert$uslb'(X0,pair(X1,X2)),X3,X4) ),
inference(clausification,[status(esa)],[ax23]) ).
cnf(c17,plain,
( X2 != X4
| X1 != X3
| 'pair$uin$ulist'('insert$uslb'(X0,pair(X1,X2)),X3,X4) ),
inference(clausification,[status(esa)],[ax23]) ).
cnf(c25,plain,
( 'pair$uin$ulist'(sK47,X0,sK49(X0))
| ~ 'contains$uslb'(sK47,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c26,plain,
'contains$uslb'('insert$uslb'(sK47,pair(sK51,sK52)),sK50),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c27,plain,
~ 'pair$uin$ulist'('insert$uslb'(sK47,pair(sK51,sK52)),sK50,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'contains$uslb'(sK47,sK50)
| sK51 = sK50 ),
inference(resolution,[status(thm)],[c10,c26]) ).
cnf(d1,plain,
~ 'pair$uin$ulist'(sK47,sK50,X0),
inference(resolution,[status(thm)],[c16,c27]) ).
cnf(d2,plain,
~ 'contains$uslb'(sK47,sK50),
inference(resolution,[status(thm)],[d1,c25]) ).
cnf(d3,plain,
sK51 = sK50,
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
~ 'pair$uin$ulist'('insert$uslb'(sK47,pair(sK51,sK52)),sK51,X0),
inference(demodulation,[status(thm)],[c27,d3]) ).
cnf(d5,plain,
( 'pair$uin$ulist'('insert$uslb'(X2,pair(X0,X3)),X1,X3)
| X0 != X1 ),
inference(equality_resolution,[status(thm)],[c17]) ).
cnf(d6,plain,
'pair$uin$ulist'('insert$uslb'(X0,pair(X1,X2)),X1,X2),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV411+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
% 0.05/5.96 % Computer : n012.cluster.edu
% 0.05/5.96 % Model : x86_64 x86_64
% 0.05/5.96 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.96 % Memory : 8046.5625MB
% 0.05/5.96 % OS : Linux 6.8.0-71-generic
% 0.05/5.96 % CPULimit : 300
% 0.05/5.96 % WCLimit : 300
% 0.05/5.96 % DateTime : Sat Sep 26 13:41:28 UTC 2026
% 0.05/5.96 % CPUTime :
% 0.05/5.96 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.31/7.46 % SZS status Theorem for theBenchmark.p
% 11.31/7.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------