%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:24:01 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 10 unt; 5 def)
% Number of atoms : 81 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 31 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A,B] :
( B = A
| incident_c(ax0_sk13(A,B),A)
| incident_c(ax0_sk13(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [A,B] :
( B = A
| ~ incident_c(ax0_sk13(A,B),B)
| ~ incident_c(ax0_sk13(A,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [B,C] :
( incident_c(C,B)
| ! [A] :
( ~ incident_c(C,A)
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f53,plain,
! [X0,X1,X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f112,plain,
! [X0,X1] :
( X1 = X0
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f115,plain,
! [X0,X1] :
( X1 = X0
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f116,plain,
part_of(sk14,sk15),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f117,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f118,plain,
sk14 != sk15,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f138,definition,
( sQ0_spl
<=> part_of(sk14,sk15) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ0_spl
| ~ part_of(sk14,sk15) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f145,definition,
( sQ2_spl
<=> part_of(sk15,sk14) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( sQ2_spl
| ~ part_of(sk15,sk14) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f152,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f117]) ).
fof(f153,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f116]) ).
fof(f155,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f154]) ).
fof(f515,plain,
( ~ incident_c(ax0_sk13(sk14,sk15),sk15)
| ~ incident_c(ax0_sk13(sk14,sk15),sk14) ),
inference(resolution,[status(thm)],[f115,f118]) ).
fof(f579,definition,
( sQ80_spl
<=> incident_c(ax0_sk13(sk14,sk15),sk14) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ80_spl
| ~ incident_c(ax0_sk13(sk14,sk15),sk14) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ81_spl
<=> incident_c(ax0_sk13(sk14,sk15),sk15) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( sQ81_spl
| ~ incident_c(ax0_sk13(sk14,sk15),sk15) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f515,f579,f582]) ).
fof(f596,plain,
! [X0] :
( sQ80_spl
| ~ incident_c(ax0_sk13(sk14,sk15),X0)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f581,f53]) ).
fof(f597,definition,
( sQ82_spl
<=> sk15 = sk14 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ82_spl
| sk15 = sk14 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f601,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f118]) ).
fof(f602,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f684,plain,
( sQ80_spl
| sk15 = sk14
| incident_c(ax0_sk13(sk14,sk15),sk14)
| ~ part_of(sk15,sk14) ),
inference(resolution,[status(thm)],[f596,f112]) ).
fof(f704,plain,
( sQ82_spl
| sQ80_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f684,f145,f579,f597]) ).
fof(f715,plain,
! [X0] :
( sQ81_spl
| ~ incident_c(ax0_sk13(sk14,sk15),X0)
| ~ part_of(X0,sk15) ),
inference(resolution,[status(thm)],[f584,f53]) ).
fof(f840,plain,
( sQ81_spl
| sk15 = sk14
| incident_c(ax0_sk13(sk14,sk15),sk15)
| ~ part_of(sk14,sk15) ),
inference(resolution,[status(thm)],[f715,f112]) ).
fof(f857,plain,
( sQ82_spl
| sQ81_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f840,f138,f582,f597]) ).
fof(f859,plain,
$false,
inference(sat_refutation,[status(thm)],[f153,f155,f585,f602,f704,f857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 10:12:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.54 % Elapsed time: 0.145530 seconds
% 0.17/0.54 % CPU time: 0.749893 seconds
% 0.17/0.54 % Total memory used: 86.394 MB
% 0.17/0.54 % Net memory used: 85.748 MB
%------------------------------------------------------------------------------