%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN177-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:15:24 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.33s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 28 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ q3(X,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f387,plain,
p0(c,b),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f396,plain,
m0(e,b,c),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f412,plain,
! [C,D,E] :
( ~ m0(D,C,E)
| ! [F] : ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f413,plain,
! [X0,X1,X2,X3] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f924,plain,
! [X0] : ~ q3(X0,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f931,plain,
! [X0] :
( ~ q2(e,e,X0)
| q3(e,X0) ),
inference(resolution,[status(thm)],[f399,f802]) ).
fof(f943,plain,
! [X0] :
( q3(e,X0)
| ~ l1(X0,e) ),
inference(resolution,[status(thm)],[f699,f931]) ).
fof(f945,plain,
~ l1(b,e),
inference(resolution,[status(thm)],[f943,f924]) ).
fof(f947,plain,
! [X0,X1] :
( ~ m0(e,b,X0)
| ~ r0(X1)
| ~ p0(X0,b) ),
inference(resolution,[status(thm)],[f945,f413]) ).
fof(f950,plain,
! [X0] :
( ~ r0(X0)
| ~ p0(c,b) ),
inference(resolution,[status(thm)],[f947,f396]) ).
fof(f951,plain,
! [X0] : ~ r0(X0),
inference(forward_subsumption_resolution,[status(thm)],[f950,f387]) ).
fof(f953,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f382,f951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN177-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 10:45:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.08/0.33 % Refutation found
% 0.08/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.35 % Elapsed time: 0.045854 seconds
% 0.08/0.35 % CPU time: 0.103090 seconds
% 0.08/0.35 % Total memory used: 69.918 MB
% 0.08/0.35 % Net memory used: 69.743 MB
%------------------------------------------------------------------------------