%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:14:54 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 10 unt; 3 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 34 ~; 34 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] : ~ p(c,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] : ~ q(X,c,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] : ~ r(X,Y,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : ~ p(c,X0,X1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] : ~ q(X0,c,X1),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] : ~ r(X0,X1,c),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
s(c),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,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)],[f7]) ).
fof(f15,plain,
! [X0,X1] :
( q(X0,X1,c)
| p(X0,X1,c)
| ~ s(c)
| ~ s(X1)
| ~ s(X0) ),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f16,definition,
! [X0,X1] :
( sQ0_spl
<=> ( q(X0,X1,c)
| p(X0,X1,c)
| ~ s(X1)
| ~ s(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
! [X0,X1] :
( ~ sQ0_spl
| q(X0,X1,c)
| p(X0,X1,c)
| ~ s(X1)
| ~ s(X0) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,definition,
( sQ1_spl
<=> s(c) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21,plain,
( sQ1_spl
| ~ s(c) ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f16,f19]) ).
fof(f23,plain,
! [X0] :
( ~ sQ0_spl
| p(X0,c,c)
| ~ s(c)
| ~ s(X0) ),
inference(resolution,[status(thm)],[f17,f9]) ).
fof(f24,definition,
! [X0] :
( sQ2_spl
<=> ( p(X0,c,c)
| ~ s(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
! [X0] :
( ~ sQ2_spl
| p(X0,c,c)
| ~ s(X0) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f23,f24,f19,f16]) ).
fof(f28,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21,f13]) ).
fof(f29,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f28]) ).
fof(f30,plain,
( ~ sQ2_spl
| ~ s(c) ),
inference(resolution,[status(thm)],[f25,f8]) ).
fof(f31,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f30,f19,f24]) ).
fof(f32,plain,
$false,
inference(sat_refutation,[status(thm)],[f22,f27,f29,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n011.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
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 10:38:55 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 % Drodi V4.1.1
% 0.07/0.36 % Refutation found
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.040790 seconds
% 0.12/0.39 % CPU time: 0.106147 seconds
% 0.12/0.39 % Total memory used: 16.546 MB
% 0.12/0.39 % Net memory used: 15.993 MB
%------------------------------------------------------------------------------