%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 09:11:54 AM UTC 2026
% Result : Theorem 18.74s 4.57s
% Output : CNFRefutation 18.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tsy_c_HOL_Oundefined_res,axiom,
! [X0] : ti(X0,undefined(X0)) = undefined(X0) ).
fof(fact_0_state__not__singleton__def,axiom,
( hBOOL('hoare$u1883395792gleton')
<=> ? [X0,X1] : ti(state,X0) != ti(state,X1) ) ).
fof(conj_0,hypothesis,
hBOOL('hoare$u1883395792gleton') ).
fof(conj_1,conjecture,
! [X0] :
~ ! [X1] : ti(state,X1) = ti(state,X0) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
~ ! [X1] : ti(state,X1) = ti(state,X0),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c4,plain,
ti(X0,undefined(X0)) = undefined(X0),
inference(clausification,[status(esa)],[tsy_c_HOL_Oundefined_res]) ).
cnf(c18,plain,
( ti(state,sK24) != ti(state,sK25)
| ~ hBOOL('hoare$u1883395792gleton') ),
inference(clausification,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(c75,plain,
hBOOL('hoare$u1883395792gleton'),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c76,plain,
ti(state,X0) = ti(state,sK157),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
ti(state,X1) = ti(state,X0),
inference(superposition,[status(thm)],[c76,c76]) ).
cnf(d1,plain,
ti(state,X0) = undefined(state),
inference(superposition,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( ~ hBOOL('hoare$u1883395792gleton')
| undefined(state) != ti(state,sK25) ),
inference(demodulation,[status(thm)],[c18,d1]) ).
cnf(d3,plain,
( ~ hBOOL('hoare$u1883395792gleton')
| undefined(state) != undefined(state) ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ hBOOL('hoare$u1883395792gleton'),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,c75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 15:57:49 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.74/4.57 % SZS status Theorem for theBenchmark.p
% 18.74/4.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------