%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:24:03 PM UTC 2026
% Result : Unsatisfiable 1.78s 0.81s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 19 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 154 ( 78 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 83 ( 83 !; 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(f14,axiom,
! [A,B,C,D] :
( part_of(D,C)
| part_of(C,D)
| ~ incident_c(A,D)
| ~ incident_c(A,C)
| ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( incident_c(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C] :
( incident_c(A,B)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C] :
( incident_c(A,C)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A,B,C,D] :
( end_point(D,C)
| ~ incident_c(D,C)
| ~ incident_c(D,B)
| ~ meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A] : inner_point(ax0_sk8(A),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
end_point(sk17,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [B,C] :
( incident_c(C,B)
| ! [A] :
( ~ incident_c(C,A)
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0,X1,X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f70,plain,
! [C,D] :
( part_of(D,C)
| part_of(C,D)
| ! [A] :
( ~ incident_c(A,D)
| ~ incident_c(A,C)
| ! [B] :
( ~ part_of(D,B)
| ~ part_of(C,B)
| ~ end_point(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f78,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f79,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f81,plain,
! [A,B] :
( incident_c(A,B)
| ! [C] : ~ meet(A,B,C) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f82,plain,
! [X0,X1,X2] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [A,C] :
( incident_c(A,C)
| ! [B] : ~ meet(A,B,C) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f84,plain,
! [X0,X1,X2] :
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,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(f86,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)],[f85]) ).
fof(f87,plain,
! [C,D] :
( end_point(D,C)
| ~ incident_c(D,C)
| ! [B] :
( ~ incident_c(D,B)
| ! [A] : ~ meet(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( end_point(X3,X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f102,plain,
! [X0] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f117,plain,
meet(sk17,sk15,sk16),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f118,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f119,plain,
part_of(sk16,sk14),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f120,plain,
end_point(sk17,sk14),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f126,plain,
incident_c(sk17,sk15),
inference(resolution,[status(thm)],[f82,f117]) ).
fof(f127,plain,
incident_c(sk17,sk16),
inference(resolution,[status(thm)],[f84,f117]) ).
fof(f128,plain,
! [X0,X1] :
( part_of(X1,X0)
| part_of(X0,X1)
| ~ incident_c(sk17,X1)
| ~ incident_c(sk17,X0)
| ~ part_of(X1,sk14)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f71,f120]) ).
fof(f130,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f78,f102]) ).
fof(f131,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f79,f102]) ).
fof(f141,plain,
! [X0] :
( part_of(sk16,X0)
| part_of(X0,sk16)
| ~ incident_c(sk17,sk16)
| ~ incident_c(sk17,X0)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f128,f119]) ).
fof(f143,plain,
! [X0] :
( part_of(sk16,X0)
| part_of(X0,sk16)
| ~ incident_c(sk17,X0)
| ~ part_of(X0,sk14) ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f127]) ).
fof(f146,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16)
| ~ incident_c(sk17,sk15) ),
inference(resolution,[status(thm)],[f143,f118]) ).
fof(f149,plain,
( part_of(sk16,sk15)
| part_of(sk15,sk16) ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f126]) ).
fof(f158,plain,
! [X0] :
( end_point(X0,sk15)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[f86,f117]) ).
fof(f159,plain,
! [X0] :
( end_point(X0,sk16)
| ~ incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[f88,f117]) ).
fof(f225,plain,
( ~ incident_c(ax0_sk8(sk15),sk16)
| ~ incident_c(ax0_sk8(sk15),sk15) ),
inference(resolution,[status(thm)],[f158,f131]) ).
fof(f234,plain,
~ incident_c(ax0_sk8(sk15),sk16),
inference(forward_subsumption_resolution,[status(thm)],[f225,f130]) ).
fof(f238,plain,
! [X0] :
( ~ incident_c(ax0_sk8(sk15),X0)
| ~ part_of(X0,sk16) ),
inference(resolution,[status(thm)],[f234,f54]) ).
fof(f371,plain,
( ~ incident_c(ax0_sk8(sk16),sk16)
| ~ incident_c(ax0_sk8(sk16),sk15) ),
inference(resolution,[status(thm)],[f159,f131]) ).
fof(f385,plain,
~ incident_c(ax0_sk8(sk16),sk15),
inference(forward_subsumption_resolution,[status(thm)],[f371,f130]) ).
fof(f389,plain,
! [X0] :
( ~ incident_c(ax0_sk8(sk16),X0)
| ~ part_of(X0,sk15) ),
inference(resolution,[status(thm)],[f385,f54]) ).
fof(f391,plain,
( part_of(sk15,sk16)
| ~ incident_c(ax0_sk8(sk16),sk16) ),
inference(resolution,[status(thm)],[f389,f149]) ).
fof(f393,plain,
part_of(sk15,sk16),
inference(forward_subsumption_resolution,[status(thm)],[f391,f130]) ).
fof(f394,plain,
~ incident_c(ax0_sk8(sk15),sk15),
inference(resolution,[status(thm)],[f393,f238]) ).
fof(f396,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f394,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n016.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 20 10:46:08 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 1.78/0.81 % Refutation found
% 1.78/0.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.78/0.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.75/0.84 % Elapsed time: 0.356716 seconds
% 0.75/0.84 % CPU time: 2.445696 seconds
% 0.75/0.84 % Total memory used: 98.064 MB
% 0.75/0.84 % Net memory used: 96.229 MB
%------------------------------------------------------------------------------