%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 03:15:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 22 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 27 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X3,X,X1,X2] :
( ~ p(X,X1,X2,X3)
| p(X3,X,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X3,X2,X1,X] :
( ~ p(X,X1,X2,X3)
| p(X3,X2,X1,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,X1,X2,X3] :
( ~ p(X,X1,X2,X3)
| p(X,X1,X2,g(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,X1,X2,X3] :
( ~ p(X,X1,X2,X3)
| p(f(X),X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p(a,b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2,X3] :
( ~ p(X1,X2,X3,X0)
| p(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ~ p(X3,X2,X1,X0)
| p(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( ~ p(X0,X1,X2,X3)
| p(X0,X1,X2,g(X3)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ p(X0,X1,X2,X3)
| p(f(X0),X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
p(a,b,c,d),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f16,plain,
~ p(f(g(a)),f(g(b)),f(g(c)),g(d)),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f18,plain,
~ p(g(a),f(g(b)),f(g(c)),g(d)),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f22,plain,
~ p(g(a),f(g(b)),f(g(c)),d),
inference(resolution,[status(thm)],[f18,f9]) ).
fof(f25,plain,
~ p(d,f(g(c)),f(g(b)),g(a)),
inference(resolution,[status(thm)],[f22,f8]) ).
fof(f27,plain,
~ p(d,f(g(c)),f(g(b)),a),
inference(resolution,[status(thm)],[f25,f9]) ).
fof(f31,plain,
~ p(f(g(c)),f(g(b)),a,d),
inference(resolution,[status(thm)],[f27,f7]) ).
fof(f40,plain,
~ p(g(c),f(g(b)),a,d),
inference(resolution,[status(thm)],[f31,f10]) ).
fof(f43,plain,
~ p(d,a,f(g(b)),g(c)),
inference(resolution,[status(thm)],[f40,f8]) ).
fof(f45,plain,
~ p(d,a,f(g(b)),c),
inference(resolution,[status(thm)],[f43,f9]) ).
fof(f48,plain,
~ p(c,f(g(b)),a,d),
inference(resolution,[status(thm)],[f45,f8]) ).
fof(f51,plain,
~ p(f(g(b)),a,d,c),
inference(resolution,[status(thm)],[f48,f7]) ).
fof(f54,plain,
~ p(g(b),a,d,c),
inference(resolution,[status(thm)],[f51,f10]) ).
fof(f57,plain,
~ p(c,d,a,g(b)),
inference(resolution,[status(thm)],[f54,f8]) ).
fof(f59,plain,
~ p(c,d,a,b),
inference(resolution,[status(thm)],[f57,f9]) ).
fof(f63,plain,
~ p(d,a,b,c),
inference(resolution,[status(thm)],[f59,f7]) ).
fof(f67,plain,
~ p(a,b,c,d),
inference(resolution,[status(thm)],[f63,f7]) ).
fof(f68,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f67,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:51:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.45 % Elapsed time: 0.066680 seconds
% 0.09/0.45 % CPU time: 0.131420 seconds
% 0.09/0.45 % Total memory used: 29.536 MB
% 0.09/0.45 % Net memory used: 29.297 MB
%------------------------------------------------------------------------------