%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV416+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 : n007.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 20.77s 3.05s
% Output : CNFRefutation 20.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 7 |; 2 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 60 ( 22 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main3_li12,lemma,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ).
fof(main3_li34,lemma,
! [X0,X1,X2,X3] :
( 'contains$upq'(i(triple(X0,X1,X2)),X3)
=> i('remove$ucpq'(triple(X0,X1,X2),X3)) = 'remove$upq'(i(triple(X0,X1,X2)),X3) ) ).
fof(ax56,axiom,
! [X0,X1] :
( 'pi$usharp$uremove'(X0,X1)
<=> 'contains$upq'(X0,X1) ) ).
fof(ax57,axiom,
! [X0,X1] :
( 'pi$uremove'(X0,X1)
<=> 'pi$usharp$uremove'(i(X0),X1) ) ).
fof(co3,conjecture,
! [X0,X1,X2,X3] :
( 'pi$uremove'(triple(X0,X1,X2),X3)
=> ( phi('remove$ucpq'(triple(X0,X1,X2),X3))
=> ( i('remove$ucpq'(triple(X0,X1,X2),X3)) = 'remove$upq'(i(triple(X0,X1,X2)),X3)
& 'pi$usharp$uremove'(i(triple(X0,X1,X2)),X3) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( 'pi$uremove'(triple(X0,X1,X2),X3)
=> ( phi('remove$ucpq'(triple(X0,X1,X2),X3))
=> ( i('remove$ucpq'(triple(X0,X1,X2),X3)) = 'remove$upq'(i(triple(X0,X1,X2)),X3)
& 'pi$usharp$uremove'(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negate_conjecture,[status(cth)],[co3]) ).
cnf(c0,plain,
i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
inference(clausification,[status(esa)],[main3_li12]) ).
cnf(c1,plain,
( i('remove$ucpq'(triple(X0,X1,X2),X3)) = 'remove$upq'(i(triple(X0,X1,X2)),X3)
| ~ 'contains$upq'(i(triple(X0,X1,X2)),X3) ),
inference(clausification,[status(esa)],[main3_li34]) ).
cnf(c70,plain,
( 'contains$upq'(X0,X1)
| ~ 'pi$usharp$uremove'(X0,X1) ),
inference(clausification,[status(esa)],[ax56]) ).
cnf(c72,plain,
( 'pi$usharp$uremove'(i(X0),X1)
| ~ 'pi$uremove'(X0,X1) ),
inference(clausification,[status(esa)],[ax57]) ).
cnf(c88,plain,
'pi$uremove'(triple(sK176,sK177,sK178),sK179),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
( i('remove$ucpq'(triple(sK176,sK177,sK178),sK179)) != 'remove$upq'(i(triple(sK176,sK177,sK178)),sK179)
| ~ 'pi$usharp$uremove'(i(triple(sK176,sK177,sK178)),sK179) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( i('remove$ucpq'(triple(X0,X1,X2),X5)) = 'remove$upq'(i(triple(X0,X1,X2)),X5)
| ~ 'contains$upq'(i(triple(X3,X1,X4)),X5) ),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
( ~ 'pi$uremove'(triple(X0,X1,X2),X5)
| 'pi$usharp$uremove'(i(triple(X3,X1,X4)),X5) ),
inference(superposition,[status(thm)],[c0,c72]) ).
cnf(d2,plain,
'pi$usharp$uremove'(i(triple(X0,sK177,X1)),sK179),
inference(resolution,[status(thm)],[d1,c88]) ).
cnf(d3,plain,
'contains$upq'(i(triple(X0,sK177,X1)),sK179),
inference(resolution,[status(thm)],[d2,c70]) ).
cnf(d4,plain,
i('remove$ucpq'(triple(X0,sK177,X1),sK179)) = 'remove$upq'(i(triple(X0,sK177,X1)),sK179),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'pi$usharp$uremove'(i(triple(sK176,sK177,sK178)),sK179)
| i('remove$ucpq'(triple(sK176,sK177,sK178),sK179)) != 'remove$upq'(i(triple(X0,sK177,X1)),sK179) ),
inference(superposition,[status(thm)],[c0,c90]) ).
cnf(d6,plain,
i('remove$ucpq'(triple(sK176,sK177,sK178),sK179)) != 'remove$upq'(i(triple(X0,sK177,X1)),sK179),
inference(resolution,[status(thm)],[d2,d5]) ).
cnf(d7,plain,
i('remove$ucpq'(triple(sK176,sK177,sK178),sK179)) != 'remove$upq'(i(triple(X2,sK177,X3)),sK179),
inference(superposition,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
i('remove$ucpq'(triple(sK176,sK177,sK178),sK179)) != i('remove$ucpq'(triple(X0,sK177,X1),sK179)),
inference(demodulation,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV416+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:39:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.77/3.05 % SZS status Theorem for theBenchmark.p
% 20.77/3.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------