%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:24:09 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 19 unt; 0 def)
% Number of atoms : 108 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 101 ( 52 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [A,B] :
( incident_c(A,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(f31,axiom,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( closed(A)
| end_point(ax0_sk6(A),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
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(f62,axiom,
! [A,B,C] :
( ordered_by(B,A,C)
| ~ incident_o(C,B)
| A = C
| ~ start_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [A,B,C] :
( incident_o(B,A)
| ~ ordered_by(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [A,B,C] :
( incident_o(C,A)
| ~ ordered_by(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [A] : open(ax2_sk3(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [A,B] :
( incident_o(A,B)
| ~ incident_c(A,ax2_sk3(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [A] : start_point(ax2_sk6(A),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
( ordered_by(sk25,sk27,sk26)
| ordered_by(sk25,sk26,sk27)
| incident_o(sk26,sk25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [A] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
! [A] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,A,sk26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f128,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f129,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f142,plain,
! [A] :
( ! [B] : ~ end_point(B,A)
| ~ closed(A) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f143,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f145,plain,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f152,plain,
! [X0] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f195,plain,
! [A,B] :
( incident_o(B,A)
| ! [C] : ~ ordered_by(A,B,C) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f196,plain,
! [X0,X1,X2] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
! [A,C] :
( incident_o(C,A)
| ! [B] : ~ ordered_by(A,B,C) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f198,plain,
! [X0,X1,X2] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
! [X0] : open(ax2_sk3(X0)),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f201,plain,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f214,plain,
! [X0] : start_point(ax2_sk6(X0),X0),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f231,plain,
( ordered_by(sk25,sk27,sk26)
| ordered_by(sk25,sk26,sk27)
| incident_o(sk26,sk25) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f237,plain,
( ~ incident_o(sk26,sk25)
| ! [A] : ~ ordered_by(sk25,sk26,A) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f238,plain,
! [X0] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,X0) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( ~ incident_o(sk26,sk25)
| ! [A] : ~ ordered_by(sk25,A,sk26) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f240,plain,
! [X0] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,X0,sk26) ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f248,plain,
( ordered_by(sk25,sk27,sk26)
| incident_o(sk26,sk25) ),
inference(backward_subsumption_resolution,[status(thm)],[f231,f196]) ).
fof(f249,plain,
! [X0] : ~ ordered_by(sk25,sk26,X0),
inference(backward_subsumption_resolution,[status(thm)],[f238,f196]) ).
fof(f252,plain,
! [X0] : ~ ordered_by(sk25,X0,sk26),
inference(backward_subsumption_resolution,[status(thm)],[f240,f198]) ).
fof(f253,plain,
incident_o(sk26,sk25),
inference(forward_subsumption_resolution,[status(thm)],[f248,f252]) ).
fof(f254,plain,
! [X0,X1] :
( ~ end_point(X1,X0)
| end_point(ax0_sk6(X0),X0) ),
inference(resolution,[status(thm)],[f144,f143]) ).
fof(f255,plain,
! [X0] : end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
inference(resolution,[status(thm)],[f145,f199]) ).
fof(f259,plain,
! [X0] : end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(resolution,[status(thm)],[f255,f254]) ).
fof(f267,plain,
! [X0] : ~ inner_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(resolution,[status(thm)],[f259,f129]) ).
fof(f268,plain,
! [X0] : incident_c(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(resolution,[status(thm)],[f259,f119]) ).
fof(f291,plain,
! [X0,X1] :
( ordered_by(X0,ax2_sk6(X0),X1)
| ~ incident_o(X1,X0)
| ax2_sk6(X0) = X1 ),
inference(resolution,[status(thm)],[f186,f214]) ).
fof(f343,plain,
( ~ incident_o(sk26,sk25)
| ax2_sk6(sk25) = sk26 ),
inference(resolution,[status(thm)],[f291,f252]) ).
fof(f345,plain,
ax2_sk6(sk25) = sk26,
inference(forward_subsumption_resolution,[status(thm)],[f343,f253]) ).
fof(f346,plain,
! [X0] :
( ordered_by(sk25,sk26,X0)
| ~ incident_o(X0,sk25)
| ax2_sk6(sk25) = X0 ),
inference(paramodulation,[status(thm)],[f345,f291]) ).
fof(f348,plain,
! [X0] :
( ordered_by(sk25,sk26,X0)
| ~ incident_o(X0,sk25)
| sk26 = X0 ),
inference(forward_demodulation,[status(thm)],[f345,f346]) ).
fof(f349,plain,
! [X0] :
( ~ incident_o(X0,sk25)
| sk26 = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f348,f249]) ).
fof(f356,plain,
! [X0] :
( ~ incident_c(X0,ax2_sk3(sk25))
| sk26 = X0 ),
inference(resolution,[status(thm)],[f349,f201]) ).
fof(f378,plain,
sk26 = ax0_sk6(ax2_sk3(sk25)),
inference(resolution,[status(thm)],[f356,f268]) ).
fof(f388,plain,
! [X0] :
( ~ inner_point(X0,ax2_sk3(sk25))
| sk26 = X0 ),
inference(resolution,[status(thm)],[f356,f128]) ).
fof(f392,plain,
~ inner_point(sk26,ax2_sk3(sk25)),
inference(paramodulation,[status(thm)],[f378,f267]) ).
fof(f426,plain,
sk26 = ax0_sk8(ax2_sk3(sk25)),
inference(resolution,[status(thm)],[f388,f152]) ).
fof(f430,plain,
inner_point(sk26,ax2_sk3(sk25)),
inference(paramodulation,[status(thm)],[f426,f152]) ).
fof(f433,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f430,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n008.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.48 % WCLimit : 300
% 0.17/0.48 % DateTime : Sun Sep 20 12:03:54 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.20/0.56 % Refutation found
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.59 % Elapsed time: 0.103076 seconds
% 0.20/0.59 % CPU time: 0.356383 seconds
% 0.20/0.59 % Total memory used: 60.227 MB
% 0.20/0.59 % Net memory used: 59.986 MB
%------------------------------------------------------------------------------