%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO081-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:24:00 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
~ part_of(sk14,sk16),
file('/export/starexec/sandbox/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(f54,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
part_of(sk14,sk15),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f117,plain,
part_of(sk15,sk16),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f118,plain,
~ part_of(sk14,sk16),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f123,plain,
~ incident_c(ax0_sk1(sk14,sk16),sk16),
inference(resolution,[status(thm)],[f55,f118]) ).
fof(f130,plain,
! [X0] :
( ~ incident_c(ax0_sk1(sk14,sk16),X0)
| ~ part_of(X0,sk16) ),
inference(resolution,[status(thm)],[f123,f53]) ).
fof(f132,plain,
~ incident_c(ax0_sk1(sk14,sk16),sk15),
inference(resolution,[status(thm)],[f130,f117]) ).
fof(f138,plain,
! [X0] :
( ~ incident_c(ax0_sk1(sk14,sk16),X0)
| ~ part_of(X0,sk15) ),
inference(resolution,[status(thm)],[f132,f53]) ).
fof(f139,plain,
~ incident_c(ax0_sk1(sk14,sk16),sk14),
inference(resolution,[status(thm)],[f138,f116]) ).
fof(f141,plain,
part_of(sk14,sk16),
inference(resolution,[status(thm)],[f139,f54]) ).
fof(f147,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f141,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO081-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 10:10:37 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.51 % Elapsed time: 0.067241 seconds
% 0.23/0.51 % CPU time: 0.174102 seconds
% 0.23/0.51 % Total memory used: 71.134 MB
% 0.23/0.51 % Net memory used: 71.096 MB
%------------------------------------------------------------------------------