%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN009-4 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:14:55 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 7 unt; 1 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 46 ~; 43 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y,Z] :
( ~ m(X,Y,Z)
| ~ p(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y,Z] :
( ~ m(X,Y,Z)
| ~ q(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y,Z] :
( ~ m(X,Y,Z)
| ~ r(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ n(c,c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X,Y,Z] :
( r(X,Y,Z)
| q(X,Y,Z)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X,Y,Z] :
( n(X,Y,Z)
| m(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ m(X0,X1,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ m(X0,X1,X2)
| ~ q(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ m(X0,X1,X2)
| ~ r(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
s(c),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
~ n(c,c,c),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0,X1,X2] :
( r(X0,X1,X2)
| q(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( n(X0,X1,X2)
| m(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ m(X0,X1,X2)
| r(X0,X1,X2)
| p(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(resolution,[status(thm)],[f17,f11]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ m(X0,X1,X2)
| r(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f19,f10]) ).
fof(f23,plain,
! [X0,X1,X2] :
( n(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ m(X0,X1,X2)
| ~ s(X2)
| ~ s(X1)
| ~ s(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21,f12]) ).
fof(f25,plain,
( ~ s(c)
| ~ s(c)
| ~ s(c) ),
inference(resolution,[status(thm)],[f23,f16]) ).
fof(f26,definition,
( sQ0_spl
<=> s(c) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( sQ0_spl
| ~ s(c) ),
inference(component_clause,[status(thm)],[f26]) ).
fof(f29,plain,
~ sQ0_spl,
inference(split_clause,[status(thm)],[f25,f26]) ).
fof(f30,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f15]) ).
fof(f31,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f30]) ).
fof(f32,plain,
$false,
inference(sat_refutation,[status(thm)],[f29,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN009-4 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 10:37:05 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.49 % Elapsed time: 0.066382 seconds
% 0.22/0.49 % CPU time: 0.152646 seconds
% 0.22/0.49 % Total memory used: 16.616 MB
% 0.22/0.49 % Net memory used: 16.072 MB
%------------------------------------------------------------------------------