%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO087-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:24:02 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 35 ( 35 !; 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(f21,axiom,
! [A,B] :
( incident_c(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A,B,C,D] :
( end_point(D,B)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A] : inner_point(ax0_sk8(A),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,
meet(sk16,sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,plain,
! [B,C] :
( incident_c(C,B)
| ! [A] :
( ~ incident_c(C,A)
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f52,plain,
! [X0,X1,X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f76,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f77,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f83,plain,
! [B,D] :
( end_point(D,B)
| ! [C] :
( ~ incident_c(D,C)
| ~ incident_c(D,B)
| ! [A] : ~ meet(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( end_point(X3,X1)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f100,plain,
! [X0] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f115,plain,
part_of(sk14,sk15),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f116,plain,
meet(sk16,sk14,sk15),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f119,plain,
! [X0] :
( incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(resolution,[status(thm)],[f52,f115]) ).
fof(f121,plain,
! [X0] :
( end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(resolution,[status(thm)],[f84,f116]) ).
fof(f122,plain,
! [X0] :
( end_point(X0,sk14)
| ~ incident_c(X0,sk14) ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f119]) ).
fof(f146,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f76,f100]) ).
fof(f148,plain,
end_point(ax0_sk8(sk14),sk14),
inference(resolution,[status(thm)],[f146,f122]) ).
fof(f157,plain,
~ inner_point(ax0_sk8(sk14),sk14),
inference(resolution,[status(thm)],[f148,f77]) ).
fof(f162,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f157,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO087-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n026.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 10:31:09 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.45 % Elapsed time: 0.050398 seconds
% 0.09/0.45 % CPU time: 0.145641 seconds
% 0.09/0.45 % Total memory used: 81.357 MB
% 0.09/0.45 % Net memory used: 81.296 MB
%------------------------------------------------------------------------------