%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL893+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 : n010.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 07:55:39 AM UTC 2026
% Result : Theorem 12.35s 7.59s
% Output : CNFRefutation 12.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 6 |; 1 &)
% ( 1 <=>; 3 =>; 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; 2 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_03,axiom,
! [X0] : '\'+\''(X0,'\'0\'') = X0 ).
fof(sos_05,axiom,
! [X0] : '\'>=\''(X0,X0) ).
fof(sos_07,axiom,
! [X0,X1] :
( ( '\'>=\''(X1,X0)
& '\'>=\''(X0,X1) )
=> X0 = X1 ) ).
fof(sos_08,axiom,
! [X0,X1,X2] :
( '\'>=\''('\'+\''(X0,X1),X2)
<=> '\'>=\''(X1,'\'==>\''(X0,X2)) ) ).
fof(sos_09,axiom,
! [X0] : '\'>=\''(X0,'\'0\'') ).
fof(sos_14,axiom,
! [X0] : h(X0) = '\'==>\''(h(X0),X0) ).
fof(goals_15,conjecture,
! [X0] :
( h(X0) = X0
=> X0 = '\'0\'' ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( h(X0) = X0
=> X0 = '\'0\'' ),
inference(negate_conjecture,[status(cth)],[goals_15]) ).
cnf(c2,plain,
'\'+\''(X0,'\'0\'') = X0,
inference(clausification,[status(esa)],[sos_03]) ).
cnf(c4,plain,
'\'>=\''(X0,X0),
inference(clausification,[status(esa)],[sos_05]) ).
cnf(c6,plain,
( X0 = X1
| ~ '\'>=\''(X1,X0)
| ~ '\'>=\''(X0,X1) ),
inference(clausification,[status(esa)],[sos_07]) ).
cnf(c7,plain,
( '\'>=\''(X1,'\'==>\''(X0,X2))
| ~ '\'>=\''('\'+\''(X0,X1),X2) ),
inference(clausification,[status(esa)],[sos_08]) ).
cnf(c9,plain,
'\'>=\''(X0,'\'0\''),
inference(clausification,[status(esa)],[sos_09]) ).
cnf(c14,plain,
h(X0) = '\'==>\''(h(X0),X0),
inference(clausification,[status(esa)],[sos_14]) ).
cnf(c15,plain,
h(sK29) = sK29,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
sK29 != '\'0\'',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ '\'>=\''('\'0\'',X0)
| X0 = '\'0\'' ),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(d1,plain,
( '\'>=\''('\'0\'','\'==>\''(X0,X1))
| ~ '\'>=\''(X0,X1) ),
inference(superposition,[status(thm)],[c2,c7]) ).
cnf(d2,plain,
h(sK29) = '\'==>\''(sK29,sK29),
inference(superposition,[status(thm)],[c15,c14]) ).
cnf(d3,plain,
sK29 = '\'==>\''(sK29,sK29),
inference(demodulation,[status(thm)],[d2,c15]) ).
cnf(d4,plain,
( ~ '\'>=\''(sK29,sK29)
| '\'>=\''('\'0\'',sK29) ),
inference(superposition,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
'\'>=\''('\'0\'',sK29),
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
sK29 = '\'0\'',
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c16,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n010.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 23:46:37 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.35/7.59 % SZS status Theorem for theBenchmark.p
% 12.35/7.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------