%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:21:30 AM UTC 2026
% Result : Theorem 6.40s 2.93s
% Output : CNFRefutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 70 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 20 ~; 23 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel55_1,axiom,
? [X0] :
( killed(X0,agatha)
& lives(X0) ) ).
fof(pel55_3,axiom,
! [X0] :
( lives(X0)
=> ( X0 = charles
| X0 = butler
| X0 = agatha ) ) ).
fof(pel55_4,axiom,
! [X0,X1] :
( killed(X0,X1)
=> hates(X0,X1) ) ).
fof(pel55_5,axiom,
! [X0,X1] :
( killed(X0,X1)
=> ~ richer(X0,X1) ) ).
fof(pel55_6,axiom,
! [X0] :
( hates(agatha,X0)
=> ~ hates(charles,X0) ) ).
fof(pel55_7,axiom,
! [X0] :
( X0 != butler
=> hates(agatha,X0) ) ).
fof(pel55_8,axiom,
! [X0] :
( ~ richer(X0,agatha)
=> hates(butler,X0) ) ).
fof(pel55_9,axiom,
! [X0] :
( hates(agatha,X0)
=> hates(butler,X0) ) ).
fof(pel55_10,axiom,
! [X0] :
? [X1] : ~ hates(X0,X1) ).
fof(pel55_11,axiom,
agatha != butler ).
fof(pel55,conjecture,
killed(agatha,agatha) ).
fof(negated_conjecture,negated_conjecture,
~ killed(agatha,agatha),
inference(negate_conjecture,[status(cth)],[pel55]) ).
cnf(c0,plain,
lives(sK0),
inference(clausification,[status(esa)],[pel55_1]) ).
cnf(c1,plain,
killed(sK0,agatha),
inference(clausification,[status(esa)],[pel55_1]) ).
cnf(c5,plain,
( X0 = charles
| X0 = butler
| X0 = agatha
| ~ lives(X0) ),
inference(clausification,[status(esa)],[pel55_3]) ).
cnf(c6,plain,
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(clausification,[status(esa)],[pel55_4]) ).
cnf(c7,plain,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(clausification,[status(esa)],[pel55_5]) ).
cnf(c8,plain,
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(clausification,[status(esa)],[pel55_6]) ).
cnf(c9,plain,
( hates(agatha,X0)
| X0 = butler ),
inference(clausification,[status(esa)],[pel55_7]) ).
cnf(c10,plain,
( hates(butler,X0)
| richer(X0,agatha) ),
inference(clausification,[status(esa)],[pel55_8]) ).
cnf(c11,plain,
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(clausification,[status(esa)],[pel55_9]) ).
cnf(c12,plain,
~ hates(X0,sK11(X0)),
inference(clausification,[status(esa)],[pel55_10]) ).
cnf(c13,plain,
agatha != butler,
inference(clausification,[status(esa)],[pel55_11]) ).
cnf(c14,plain,
~ killed(agatha,agatha),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ killed(X0,agatha)
| hates(butler,X0) ),
inference(resolution,[status(thm)],[c10,c7]) ).
cnf(d1,plain,
hates(butler,sK0),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
hates(sK0,agatha),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d3,plain,
( sK0 = charles
| sK0 = butler
| sK0 = agatha ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d4,plain,
( sK0 = butler
| sK0 = agatha
| hates(charles,agatha) ),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ hates(agatha,agatha)
| sK0 = butler
| sK0 = agatha ),
inference(resolution,[status(thm)],[d4,c8]) ).
cnf(d6,plain,
( agatha = butler
| sK0 = butler
| sK0 = agatha ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
( sK0 = butler
| sK0 = agatha ),
inference(resolution,[status(thm)],[c13,d6]) ).
cnf(d8,plain,
( sK0 = agatha
| hates(butler,butler) ),
inference(superposition,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( X0 = butler
| hates(butler,X0) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(d10,plain,
sK11(butler) = butler,
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,plain,
~ hates(butler,butler),
inference(superposition,[status(thm)],[d10,c12]) ).
cnf(d12,plain,
sK0 = agatha,
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
killed(agatha,agatha),
inference(demodulation,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c14,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 05:03:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.40/2.93 % SZS status Theorem for theBenchmark.p
% 6.40/2.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------