%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:28:13 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.31s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 26 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
value(truth,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
value(falsity,falsity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( value(xor(X,Y),falsity)
| ~ value(Y,truth)
| ~ value(X,truth) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( value(xor(X,Y),truth)
| ~ value(Y,falsity)
| ~ value(X,truth) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( value(xor(X,Y),falsity)
| ~ value(Y,falsity)
| ~ value(X,falsity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [Value] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),Value),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
value(truth,truth),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
value(falsity,falsity),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
( ~ value(falsity,falsity)
| ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
inference(resolution,[status(thm)],[f13,f14]) ).
fof(f20,plain,
~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
inference(forward_subsumption_resolution,[status(thm)],[f19,f9]) ).
fof(f28,plain,
( ~ value(truth,truth)
| ~ value(xor(xor(truth,falsity),falsity),truth) ),
inference(resolution,[status(thm)],[f20,f10]) ).
fof(f29,plain,
~ value(xor(xor(truth,falsity),falsity),truth),
inference(forward_subsumption_resolution,[status(thm)],[f28,f8]) ).
fof(f35,plain,
( ~ value(falsity,falsity)
| ~ value(xor(truth,falsity),truth) ),
inference(resolution,[status(thm)],[f29,f11]) ).
fof(f36,plain,
~ value(xor(truth,falsity),truth),
inference(forward_subsumption_resolution,[status(thm)],[f35,f9]) ).
fof(f38,plain,
( ~ value(falsity,falsity)
| ~ value(truth,truth) ),
inference(resolution,[status(thm)],[f36,f11]) ).
fof(f39,plain,
~ value(falsity,falsity),
inference(forward_subsumption_resolution,[status(thm)],[f38,f8]) ).
fof(f40,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f39,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Mon Sep 21 01:26:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.31 % Refutation found
% 0.04/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.33 % Elapsed time: 0.034980 seconds
% 0.06/0.33 % CPU time: 0.075623 seconds
% 0.06/0.33 % Total memory used: 55.388 MB
% 0.06/0.33 % Net memory used: 54.888 MB
%------------------------------------------------------------------------------