%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:55:40 AM UTC 2026
% Result : Theorem 22.36s 3.50s
% Output : CNFRefutation 22.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 29 unt; 0 def)
% Number of atoms : 47 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 7 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 8 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_02,axiom,
! [X0,X1] : '\'+\''(X0,X1) = '\'+\''(X1,X0) ).
fof(sos_03,axiom,
! [X0] : '\'+\''(X0,'\'0\'') = X0 ).
fof(sos_04,axiom,
! [X0] : '\'>=\''(X0,X0) ).
fof(sos_06,axiom,
! [X0,X1] :
( ( '\'>=\''(X1,X0)
& '\'>=\''(X0,X1) )
=> X0 = X1 ) ).
fof(sos_07,axiom,
! [X0,X1,X2] :
( '\'>=\''('\'+\''(X0,X1),X2)
<=> '\'>=\''(X1,'\'==>\''(X0,X2)) ) ).
fof(sos_08,axiom,
! [X0] : '\'>=\''(X0,'\'0\'') ).
fof(sos_12,axiom,
! [X0] : '\'+\''(X0,'\'1\'') = '\'1\'' ).
fof(sos_13,axiom,
! [X0,X1] : '\'==>\''('\'==>\''(X0,X1),X1) = '\'==>\''('\'==>\''(X1,X0),X0) ).
fof(goals_14,conjecture,
! [X0] : '\'==>\''('\'==>\''(X0,'\'1\''),'\'1\'') = X0 ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : '\'==>\''('\'==>\''(X0,'\'1\''),'\'1\'') = X0,
inference(negate_conjecture,[status(cth)],[goals_14]) ).
cnf(c1,plain,
'\'+\''(X0,X1) = '\'+\''(X1,X0),
inference(clausification,[status(esa)],[sos_02]) ).
cnf(c2,plain,
'\'+\''(X0,'\'0\'') = X0,
inference(clausification,[status(esa)],[sos_03]) ).
cnf(c3,plain,
'\'>=\''(X0,X0),
inference(clausification,[status(esa)],[sos_04]) ).
cnf(c5,plain,
( X0 = X1
| ~ '\'>=\''(X1,X0)
| ~ '\'>=\''(X0,X1) ),
inference(clausification,[status(esa)],[sos_06]) ).
cnf(c6,plain,
( '\'>=\''(X1,'\'==>\''(X0,X2))
| ~ '\'>=\''('\'+\''(X0,X1),X2) ),
inference(clausification,[status(esa)],[sos_07]) ).
cnf(c7,plain,
( ~ '\'>=\''(X1,'\'==>\''(X0,X2))
| '\'>=\''('\'+\''(X0,X1),X2) ),
inference(clausification,[status(esa)],[sos_07]) ).
cnf(c8,plain,
'\'>=\''(X0,'\'0\''),
inference(clausification,[status(esa)],[sos_08]) ).
cnf(c12,plain,
'\'+\''(X0,'\'1\'') = '\'1\'',
inference(clausification,[status(esa)],[sos_12]) ).
cnf(c13,plain,
'\'==>\''('\'==>\''(X0,X1),X1) = '\'==>\''('\'==>\''(X1,X0),X0),
inference(clausification,[status(esa)],[sos_13]) ).
cnf(c14,plain,
'\'==>\''('\'==>\''(sK28,'\'1\''),'\'1\'') != sK28,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'\'>=\''(X0,'\'==>\''(X1,'\'+\''(X1,X0))),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(d1,plain,
X0 = '\'+\''('\'0\'',X0),
inference(superposition,[status(thm)],[c2,c1]) ).
cnf(d2,plain,
'\'>=\''(X0,'\'==>\''('\'0\'',X0)),
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ '\'>=\''('\'==>\''('\'0\'',X0),X0)
| X0 = '\'==>\''('\'0\'',X0) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
'\'>=\''('\'+\''(X0,'\'==>\''(X0,X1)),X1),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(d5,plain,
'\'>=\''('\'==>\''('\'0\'',X0),X0),
inference(superposition,[status(thm)],[d1,d4]) ).
cnf(d6,plain,
X0 = '\'==>\''('\'0\'',X0),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ '\'>=\''('\'0\'',X0)
| X0 = '\'0\'' ),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(d8,plain,
'\'1\'' = '\'+\''('\'1\'',X0),
inference(superposition,[status(thm)],[c12,c1]) ).
cnf(d9,plain,
( '\'>=\''(X0,'\'==>\''('\'1\'',X1))
| ~ '\'>=\''('\'1\'',X1) ),
inference(superposition,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
'\'>=\''('\'1\'',X0),
inference(superposition,[status(thm)],[d8,d4]) ).
cnf(d11,plain,
'\'>=\''(X0,'\'==>\''('\'1\'',X1)),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
'\'==>\''('\'1\'',X0) = '\'0\'',
inference(resolution,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
'\'==>\''('\'==>\''('\'1\'',sK28),sK28) != sK28,
inference(demodulation,[status(thm)],[c14,c13]) ).
cnf(d14,plain,
'\'==>\''('\'0\'',sK28) != sK28,
inference(demodulation,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
sK28 != sK28,
inference(demodulation,[status(thm)],[d14,d6]) ).
cnf(d16,plain,
$false,
inference(equality_resolution,[status(thm)],[d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 : Fri Sep 25 23:46:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.36/3.50 % SZS status Theorem for theBenchmark.p
% 22.36/3.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------