%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU306+2 : 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 08:41:37 AM UTC 2026
% Result : Theorem 30.67s 4.25s
% Output : CNFRefutation 30.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_pre_topc,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> 'cast$uas$ucarrier$usubset'(X0) = 'the$ucarrier'(X0) ) ).
fof(t12_pre_topc,conjecture,
! [X0] :
( 'one$usorted$ustr'(X0)
=> 'cast$uas$ucarrier$usubset'(X0) = 'the$ucarrier'(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'one$usorted$ustr'(X0)
=> 'cast$uas$ucarrier$usubset'(X0) = 'the$ucarrier'(X0) ),
inference(negate_conjecture,[status(cth)],[t12_pre_topc]) ).
cnf(c331,plain,
( 'cast$uas$ucarrier$usubset'(X0) = 'the$ucarrier'(X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[d3_pre_topc]) ).
cnf(c1413,plain,
'one$usorted$ustr'(sK1467),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1414,plain,
'cast$uas$ucarrier$usubset'(sK1467) != 'the$ucarrier'(sK1467),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'cast$uas$ucarrier$usubset'(sK1467) = 'the$ucarrier'(sK1467),
inference(resolution,[status(thm)],[c331,c1413]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c1414,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU306+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 09:09:19 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.67/4.25 % SZS status Theorem for theBenchmark.p
% 30.67/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------