%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:21:31 AM UTC 2026
% Result : Unsatisfiable 7.79s 1.53s
% Output : CNFRefutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 15 unt; 0 nHn; 26 RR)
% Number of literals : 47 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(one_shaved_then_all_shaved,axiom,
( shaved(members,X0)
| ~ shaved(X0,X1)
| ~ member(X1)
| ~ member(X0) ) ).
cnf(all_shaved_then_one_shaved,axiom,
( shaved(X1,X0)
| ~ member(X1)
| ~ shaved(members,X0) ) ).
cnf(guido,hypothesis,
member(guido) ).
cnf(lorenzo,hypothesis,
member(lorenzo) ).
cnf(petruchio,hypothesis,
member(petruchio) ).
cnf(cesare,hypothesis,
member(cesare) ).
cnf(guido_has_shaved_cesare,hypothesis,
shaved(guido,cesare) ).
cnf(prove_petruchio_has_shaved_lorenzo,negated_conjecture,
~ shaved(petruchio,lorenzo) ).
cnf(c0,plain,
( shaved(members,X0)
| ~ shaved(X0,X1)
| ~ member(X1)
| ~ member(X0) ),
inference(clausification,[status(esa)],[one_shaved_then_all_shaved]) ).
cnf(c1,plain,
( shaved(X1,X0)
| ~ member(X1)
| ~ shaved(members,X0) ),
inference(clausification,[status(esa)],[all_shaved_then_one_shaved]) ).
cnf(c2,plain,
member(guido),
inference(clausification,[status(esa)],[guido]) ).
cnf(c3,plain,
member(lorenzo),
inference(clausification,[status(esa)],[lorenzo]) ).
cnf(c4,plain,
member(petruchio),
inference(clausification,[status(esa)],[petruchio]) ).
cnf(c5,plain,
member(cesare),
inference(clausification,[status(esa)],[cesare]) ).
cnf(c6,plain,
shaved(guido,cesare),
inference(clausification,[status(esa)],[guido_has_shaved_cesare]) ).
cnf(c7,plain,
~ shaved(petruchio,lorenzo),
inference(clausification,[status(esa)],[prove_petruchio_has_shaved_lorenzo]) ).
cnf(d0,plain,
( shaved(members,guido)
| ~ member(cesare)
| ~ member(guido) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d1,plain,
( shaved(members,guido)
| ~ member(cesare) ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
shaved(members,guido),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
( shaved(X0,guido)
| ~ member(X0) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
( shaved(members,X0)
| ~ member(guido)
| ~ member(X0)
| ~ member(X0) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( shaved(members,X0)
| ~ member(X0) ),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( shaved(X1,X0)
| ~ member(X1)
| ~ member(X0) ),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
( ~ member(lorenzo)
| ~ member(petruchio) ),
inference(resolution,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
~ member(petruchio),
inference(resolution,[status(thm)],[c3,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c4,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 05:03:15 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.79/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 7.79/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------