%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:15:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] : m0(a,X,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [H,I,J,A] :
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| p1(H,I,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p1(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f381,plain,
! [X0] : m0(a,X0,a),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f407,plain,
m0(b,a,a),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f513,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| p1(G,G,G) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f514,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f538,plain,
! [H,J,A] :
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| ! [I] : p1(H,I,J) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f539,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f924,plain,
~ p1(a,b,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f927,plain,
! [X0,X1] :
( ~ p1(a,X0,a)
| p1(X0,X1,a) ),
inference(resolution,[status(thm)],[f381,f539]) ).
fof(f934,plain,
! [X0] :
( ~ p1(b,a,a)
| p1(a,X0,b) ),
inference(resolution,[status(thm)],[f407,f539]) ).
fof(f943,plain,
! [X0,X1] :
( p1(a,X1,a)
| ~ n0(X0,a) ),
inference(resolution,[status(thm)],[f514,f927]) ).
fof(f944,plain,
! [X0,X1,X2] :
( p1(X1,X2,a)
| ~ n0(X0,a) ),
inference(resolution,[status(thm)],[f943,f927]) ).
fof(f945,plain,
! [X0,X1] : p1(X0,X1,a),
inference(resolution,[status(thm)],[f944,f406]) ).
fof(f947,plain,
! [X0] : p1(a,X0,b),
inference(backward_subsumption_resolution,[status(thm)],[f934,f945]) ).
fof(f950,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 10:45:04 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.055916 seconds
% 0.14/0.40 % CPU time: 0.149937 seconds
% 0.14/0.40 % Total memory used: 46.060 MB
% 0.14/0.40 % Net memory used: 45.949 MB
%------------------------------------------------------------------------------