%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 01:28:13 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
! [X,Y,Z] :
( p(X,Z)
| ~ p(Y,Z)
| ~ p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [X,Y,Z] :
( q(X,Z)
| ~ q(Y,Z)
| ~ q(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [X,Y] :
( q(Y,X)
| ~ q(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Y] :
( q(X,Y)
| p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
~ p(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ q(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X,Z] :
( p(X,Z)
| ! [Y] :
( ~ p(Y,Z)
| ~ p(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] :
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X,Z] :
( q(X,Z)
| ! [Y] :
( ~ q(Y,Z)
| ~ q(X,Y) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( q(X1,X0)
| ~ q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( q(X0,X1)
| p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
~ p(a,b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
~ q(c,d),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
q(a,b),
inference(resolution,[status(thm)],[f12,f13]) ).
fof(f16,plain,
! [X0,X1,X2] :
( p(X2,X1)
| ~ p(X2,X0)
| q(X0,X1) ),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f17,plain,
! [X0] :
( q(X0,b)
| ~ q(X0,a) ),
inference(resolution,[status(thm)],[f15,f10]) ).
fof(f18,plain,
q(b,a),
inference(resolution,[status(thm)],[f15,f11]) ).
fof(f19,plain,
! [X0] :
( q(X0,a)
| ~ q(X0,b) ),
inference(resolution,[status(thm)],[f18,f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( q(X2,X0)
| p(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f30,plain,
! [X0] :
( q(a,X0)
| q(X0,b) ),
inference(resolution,[status(thm)],[f29,f13]) ).
fof(f33,plain,
! [X0] :
( q(X0,a)
| q(a,X0) ),
inference(resolution,[status(thm)],[f30,f19]) ).
fof(f36,plain,
! [X0] : q(a,X0),
inference(forward_subsumption_resolution,[status(thm)],[f33,f11]) ).
fof(f40,plain,
! [X0] : q(X0,a),
inference(resolution,[status(thm)],[f36,f11]) ).
fof(f41,plain,
! [X0] : q(X0,b),
inference(backward_subsumption_resolution,[status(thm)],[f17,f40]) ).
fof(f45,plain,
! [X0] : q(b,X0),
inference(resolution,[status(thm)],[f41,f11]) ).
fof(f46,plain,
! [X0,X1] :
( q(X0,X1)
| ~ q(X0,b) ),
inference(resolution,[status(thm)],[f45,f10]) ).
fof(f48,plain,
! [X0,X1] : q(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f46,f41]) ).
fof(f50,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f14,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 01:27:26 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.043603 seconds
% 0.13/0.41 % CPU time: 0.113976 seconds
% 0.13/0.41 % Total memory used: 16.547 MB
% 0.13/0.41 % Net memory used: 15.996 MB
%------------------------------------------------------------------------------