%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:15:36 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 27 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [D,E] :
( ~ k0(E)
| ~ n0(d,D)
| p1(D,D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [H,I,J,A] :
( ~ s0(b)
| ~ p1(I,A,H)
| ~ l0(J)
| p1(H,I,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p1(e,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f507,plain,
! [E] :
( ~ k0(E)
| ! [D] :
( ~ n0(d,D)
| p1(D,D,E) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f508,plain,
! [X0,X1] :
( ~ k0(X1)
| ~ n0(d,X0)
| p1(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f507]) ).
fof(f520,plain,
( ~ s0(b)
| ! [H,I] :
( ! [A] : ~ p1(I,A,H)
| ! [J] : ~ l0(J)
| p1(H,I,H) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f521,plain,
! [X0,X1,X2,X3] :
( ~ s0(b)
| ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f520]) ).
fof(f924,plain,
~ p1(e,c,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f985,plain,
! [X0,X1,X2,X3] :
( ~ p1(X1,X3,X0)
| ~ l0(X2)
| p1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f374]) ).
fof(f986,plain,
! [X0,X1] :
( ~ p1(c,X1,e)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f985,f924]) ).
fof(f987,plain,
! [X0] :
( ~ k0(e)
| ~ n0(d,c)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f986,f508]) ).
fof(f989,plain,
! [X0] :
( ~ k0(e)
| ~ l0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f395]) ).
fof(f991,plain,
! [X0] : ~ l0(X0),
inference(forward_subsumption_resolution,[status(thm)],[f989,f397]) ).
fof(f992,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f393,f991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.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
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 10:48:46 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.071002 seconds
% 0.13/0.43 % CPU time: 0.188994 seconds
% 0.13/0.43 % Total memory used: 70.363 MB
% 0.13/0.43 % Net memory used: 70.181 MB
%------------------------------------------------------------------------------