%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR035+4 : TPTP v9.3.1. Released v3.4.0.
% 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 12:12:59 PM UTC 2026
% Result : Theorem 8.09s 19.18s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 2 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 7 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 5 ( 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4888,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44217,conjecture,
? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44218,negated_conjecture,
~ ? [X] :
( mtvisible(c_englishmt)
=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f50353,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(pre_NNF_transformation,[status(thm)],[f4888]) ).
fof(f50354,plain,
( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[status(thm)],[f50353]) ).
fof(f110738,plain,
! [X] :
( ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X)
& mtvisible(c_englishmt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
( ! [X] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X)
& mtvisible(c_englishmt) ),
inference(miniscoping,[status(thm)],[f110738]) ).
fof(f110740,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f110741,plain,
! [X0] : ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X0),
inference(cnf_transformation,[status(thm)],[f110739]) ).
fof(f111223,definition,
( sQ129_spl
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f111225,plain,
( sQ129_spl
| ~ mtvisible(c_englishmt) ),
inference(component_clause,[status(thm)],[f111223]) ).
fof(f112164,definition,
( sQ376_spl
<=> prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f112165,plain,
( ~ sQ376_spl
| prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
inference(component_clause,[status(thm)],[f112164]) ).
fof(f112167,plain,
( sQ376_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f50354,f111223,f112164]) ).
fof(f118227,plain,
( sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f111225,f110740]) ).
fof(f118228,plain,
sQ129_spl,
inference(contradiction_clause,[status(thm)],[f118227]) ).
fof(f118229,plain,
( ~ sQ376_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112165,f110741]) ).
fof(f118230,plain,
~ sQ376_spl,
inference(contradiction_clause,[status(thm)],[f118229]) ).
fof(f118231,plain,
$false,
inference(sat_refutation,[status(thm)],[f112167,f118228,f118230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR035+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.12/15.65 % CPULimit : 300
% 0.12/15.65 % WCLimit : 300
% 0.12/15.65 % DateTime : Mon Sep 21 14:29:18 UTC 2026
% 0.12/15.66 % CPUTime :
% 2.05/17.16 % Drodi V4.1.1
% 8.09/19.18 % Refutation found
% 8.09/19.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.09/19.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.86/19.48 % Elapsed time: 3.738385 seconds
% 2.86/19.48 % CPU time: 14.230338 seconds
% 2.86/19.48 % Total memory used: 1.894 GB
% 2.86/19.48 % Net memory used: 1.887 GB
%------------------------------------------------------------------------------