%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 16 unt; 2 def)
% Number of atoms : 77 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 33 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [A,B] :
( incident_c(A,B)
| ~ end_point(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(f33,axiom,
! [A] :
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
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(f62,axiom,
! [A,B,C] :
( ordered_by(B,A,C)
| ~ incident_o(C,B)
| A = C
| ~ start_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [A] : open(ax2_sk3(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [A,B] :
( incident_o(A,B)
| ~ incident_c(A,ax2_sk3(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [A] : start_point(ax2_sk6(A),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [A,B] :
( A = B
| ~ ordered_by(sk25,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f123,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f124,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f140,plain,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f147,plain,
! [X0] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f181,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(f194,plain,
! [X0] : open(ax2_sk3(X0)),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f196,plain,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f209,plain,
! [X0] : start_point(ax2_sk6(X0),X0),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f226,plain,
! [X0,X1] :
( X0 = X1
| ~ ordered_by(sk25,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f234,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f123,f147]) ).
fof(f235,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f124,f147]) ).
fof(f243,plain,
! [X0] :
( incident_c(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(resolution,[status(thm)],[f140,f114]) ).
fof(f249,plain,
! [X0] :
( ~ open(ax2_sk3(X0))
| incident_o(ax0_sk7(ax2_sk3(X0)),X0) ),
inference(resolution,[status(thm)],[f196,f243]) ).
fof(f252,plain,
! [X0] : incident_o(ax0_sk8(ax2_sk3(X0)),X0),
inference(resolution,[status(thm)],[f196,f234]) ).
fof(f254,plain,
! [X0] : incident_o(ax0_sk7(ax2_sk3(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[f249,f194]) ).
fof(f337,plain,
! [X0,X1] :
( X0 = X1
| ~ incident_o(X1,sk25)
| X0 = X1
| ~ start_point(X0,sk25) ),
inference(resolution,[status(thm)],[f181,f226]) ).
fof(f340,plain,
! [X0,X1] :
( ~ incident_o(X1,sk25)
| X0 = X1
| ~ start_point(X0,sk25) ),
inference(duplicate_literals_removal,[status(thm)],[f337]) ).
fof(f341,plain,
! [X0] :
( ~ incident_o(X0,sk25)
| ax2_sk6(sk25) = X0 ),
inference(resolution,[status(thm)],[f340,f209]) ).
fof(f345,plain,
ax2_sk6(sk25) = ax0_sk8(ax2_sk3(sk25)),
inference(resolution,[status(thm)],[f341,f252]) ).
fof(f347,plain,
ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25)),
inference(resolution,[status(thm)],[f341,f254]) ).
fof(f375,plain,
~ end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(paramodulation,[status(thm)],[f345,f235]) ).
fof(f380,plain,
( end_point(ax2_sk6(sk25),ax2_sk3(sk25))
| ~ open(ax2_sk3(sk25)) ),
inference(paramodulation,[status(thm)],[f347,f140]) ).
fof(f381,definition,
( sQ6_spl
<=> open(ax2_sk3(sk25)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ6_spl
| ~ open(ax2_sk3(sk25)) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f388,definition,
( sQ8_spl
<=> end_point(ax2_sk6(sk25),ax2_sk3(sk25)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ8_spl
| end_point(ax2_sk6(sk25),ax2_sk3(sk25)) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ8_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f380,f381,f388]) ).
fof(f392,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f194]) ).
fof(f393,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f392]) ).
fof(f450,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f375]) ).
fof(f451,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f450]) ).
fof(f452,plain,
$false,
inference(sat_refutation,[status(thm)],[f391,f393,f451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 11:54:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.082293 seconds
% 0.14/0.46 % CPU time: 0.256649 seconds
% 0.14/0.46 % Total memory used: 73.841 MB
% 0.14/0.46 % Net memory used: 73.739 MB
%------------------------------------------------------------------------------