%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : AGT003+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 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 11:47:11 AM UTC 2026
% Result : Theorem 0.09s 0.55s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 13 unt; 3 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 22 ~; 21 |; 8 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f352,axiom,
accept_city(christiansufferterrahumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f353,axiom,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f433,axiom,
accept_number(christiansufferterrahumanitarianorganization,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f923,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f924,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f925,plain,
! [A,C,N,L] :
( ( ~ accept_number(A,N)
| ~ accept_leader(A,L)
| ~ accept_city(A,C)
| accept_team(A,L,C,N) )
& ( ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) )
| ~ accept_team(A,L,C,N) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f926,plain,
( ! [A,C,N,L] :
( ~ accept_number(A,N)
| ~ accept_leader(A,L)
| ~ accept_city(A,C)
| accept_team(A,L,C,N) )
& ! [A,C,N,L] :
( ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) )
| ~ accept_team(A,L,C,N) ) ),
inference(miniscoping,[status(thm)],[f925]) ).
fof(f930,plain,
! [X0,X1,X2,X3] :
( ~ accept_number(X0,X3)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| accept_team(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f926]) ).
fof(f1382,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f1383,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f1463,plain,
accept_number(christiansufferterrahumanitarianorganization,n5),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f1979,plain,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f1984,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,n5)
| ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
| ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
inference(resolution,[status(thm)],[f930,f1979]) ).
fof(f1995,definition,
( sQ3_spl
<=> accept_city(christiansufferterrahumanitarianorganization,towna) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1997,plain,
( sQ3_spl
| ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1998,definition,
( sQ4_spl
<=> accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f2000,plain,
( sQ4_spl
| ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
inference(component_clause,[status(thm)],[f1998]) ).
fof(f2001,definition,
( sQ5_spl
<=> accept_number(christiansufferterrahumanitarianorganization,n5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f2003,plain,
( sQ5_spl
| ~ accept_number(christiansufferterrahumanitarianorganization,n5) ),
inference(component_clause,[status(thm)],[f2001]) ).
fof(f2004,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1984,f1995,f1998,f2001]) ).
fof(f2005,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f1383]) ).
fof(f2006,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2007,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1997,f1382]) ).
fof(f2008,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2007]) ).
fof(f2018,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1463,f2003]) ).
fof(f2019,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2020,plain,
$false,
inference(sat_refutation,[status(thm)],[f2004,f2006,f2008,f2019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT003+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n002.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Mon Sep 21 12:50:48 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 0.09/0.55 % Refutation found
% 0.09/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.59 % Elapsed time: 0.070217 seconds
% 0.16/0.59 % CPU time: 0.165026 seconds
% 0.16/0.59 % Total memory used: 91.415 MB
% 0.16/0.59 % Net memory used: 91.334 MB
%------------------------------------------------------------------------------