%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW469+1 : 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 : n002.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 10.04s 1.83s
% Output : CNFRefutation 10.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 30 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 6 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_0_state__not__singleton__def,axiom,
( 'hoare$u165779456gleton'
<=> ? [X0,X1] :
( X0 != X1
& 'is$ustate'(X1)
& 'is$ustate'(X0) ) ) ).
fof(conj_0,hypothesis,
'hoare$u165779456gleton' ).
fof(conj_1,conjecture,
! [X0] :
( 'is$ustate'(X0)
=> ~ ! [X1] :
( 'is$ustate'(X1)
=> X1 = X0 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'is$ustate'(X0)
=> ~ ! [X1] :
( 'is$ustate'(X1)
=> X1 = X0 ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c1,plain,
( 'is$ustate'(sK0)
| ~ 'hoare$u165779456gleton' ),
inference(clausification,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(c2,plain,
( 'is$ustate'(sK1)
| ~ 'hoare$u165779456gleton' ),
inference(clausification,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(c3,plain,
( sK0 != sK1
| ~ 'hoare$u165779456gleton' ),
inference(clausification,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(c8,plain,
'hoare$u165779456gleton',
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c10,plain,
( X0 = sK4
| ~ 'is$ustate'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK0 = sK4
| ~ 'hoare$u165779456gleton' ),
inference(resolution,[status(thm)],[c1,c10]) ).
cnf(d1,plain,
sK0 = sK4,
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
( sK1 = sK4
| ~ 'hoare$u165779456gleton' ),
inference(resolution,[status(thm)],[c2,c10]) ).
cnf(d3,plain,
sK1 = sK4,
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
sK1 = sK0,
inference(demodulation,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
sK0 != sK1,
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d6,plain,
sK0 != sK0,
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 15:59:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.04/1.83 % SZS status Theorem for theBenchmark.p
% 10.04/1.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------