%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 : Thu Sep 24 01:59:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 37 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( shaved(members,X)
| ~ shaved(X,Y)
| ~ member(Y)
| ~ member(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( shaved(Y,X)
| ~ member(Y)
| ~ shaved(members,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
member(guido),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
member(lorenzo),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
member(petruchio),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
member(cesare),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
shaved(guido,cesare),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ shaved(petruchio,lorenzo),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X] :
( shaved(members,X)
| ! [Y] :
( ~ shaved(X,Y)
| ~ member(Y)
| ~ member(X) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1] :
( shaved(members,X0)
| ~ shaved(X0,X1)
| ~ member(X1)
| ~ member(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( shaved(X1,X0)
| ~ member(X1)
| ~ shaved(members,X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
member(guido),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
member(lorenzo),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
member(petruchio),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
member(cesare),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
shaved(guido,cesare),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
~ shaved(petruchio,lorenzo),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ shaved(X1,X2)
| ~ member(X2)
| ~ member(X1)
| shaved(X0,X1)
| ~ member(X0) ),
inference(resolution,[status(thm)],[f11,f10]) ).
fof(f19,plain,
! [X0] :
( ~ member(cesare)
| ~ member(guido)
| shaved(X0,guido)
| ~ member(X0) ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f21,plain,
! [X0] :
( ~ member(cesare)
| shaved(X0,guido)
| ~ member(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f19,f12]) ).
fof(f23,plain,
! [X0] :
( shaved(X0,guido)
| ~ member(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21,f15]) ).
fof(f25,plain,
! [X0,X1] :
( ~ member(guido)
| ~ member(X0)
| shaved(X1,X0)
| ~ member(X1)
| ~ member(X0) ),
inference(resolution,[status(thm)],[f23,f18]) ).
fof(f26,plain,
! [X0,X1] :
( ~ member(guido)
| shaved(X1,X0)
| ~ member(X1)
| ~ member(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( shaved(X1,X0)
| ~ member(X1)
| ~ member(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f12]) ).
fof(f30,plain,
( ~ member(petruchio)
| ~ member(lorenzo) ),
inference(resolution,[status(thm)],[f27,f17]) ).
fof(f31,plain,
~ member(petruchio),
inference(forward_subsumption_resolution,[status(thm)],[f30,f13]) ).
fof(f32,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f31,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 03:44:55 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.031198 seconds
% 0.12/0.40 % CPU time: 0.068789 seconds
% 0.12/0.40 % Total memory used: 5.197 MB
% 0.12/0.40 % Net memory used: 5.166 MB
%------------------------------------------------------------------------------