%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:15:46 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X] :
( f(X)
| f(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X] :
( f(X)
| ~ g(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X] :
( ~ g(X)
| h(y(X))
| ~ f(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X] :
( g(X)
| ~ h(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X] :
( h(X)
| g(y(X))
| ~ f(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X] :
( h(X)
| ~ h(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X] :
( ~ h(z(X))
| ~ g(z(X))
| ~ f(z(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0] :
( f(X0)
| f(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0] :
( f(X0)
| ~ g(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0] :
( ~ g(X0)
| h(y(X0))
| ~ f(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0] :
( g(X0)
| ~ h(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0] :
( h(X0)
| g(y(X0))
| ~ f(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0] :
( h(X0)
| ~ h(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
! [X0] :
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
! [X0] :
( f(X0)
| h(X0)
| ~ f(y(X0)) ),
inference(resolution,[status(thm)],[f20,f14]) ).
fof(f27,plain,
! [X0] :
( f(X0)
| h(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f13]) ).
fof(f31,plain,
! [X0] :
( ~ g(X0)
| h(y(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f15,f27]) ).
fof(f33,plain,
! [X0] :
( h(X0)
| f(y(X0)) ),
inference(resolution,[status(thm)],[f27,f21]) ).
fof(f38,plain,
! [X0] :
( h(X0)
| g(y(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f20,f33]) ).
fof(f40,plain,
! [X0] :
( h(y(y(X0)))
| h(X0) ),
inference(resolution,[status(thm)],[f38,f31]) ).
fof(f41,plain,
! [X0] :
( h(y(X0))
| h(X0) ),
inference(resolution,[status(thm)],[f40,f21]) ).
fof(f44,plain,
! [X0] : h(X0),
inference(forward_subsumption_resolution,[status(thm)],[f41,f21]) ).
fof(f45,plain,
! [X0] :
( ~ g(z(X0))
| ~ f(z(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f44]) ).
fof(f46,plain,
! [X0] : g(X0),
inference(backward_subsumption_resolution,[status(thm)],[f17,f44]) ).
fof(f47,plain,
! [X0] : f(X0),
inference(backward_subsumption_resolution,[status(thm)],[f14,f46]) ).
fof(f48,plain,
! [X0] : ~ g(z(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f45,f47]) ).
fof(f49,plain,
$false,
inference(resolution,[status(thm)],[f48,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 10:44:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.037102 seconds
% 0.11/0.42 % CPU time: 0.098157 seconds
% 0.11/0.42 % Total memory used: 12.995 MB
% 0.11/0.42 % Net memory used: 12.611 MB
%------------------------------------------------------------------------------