%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO125-1 : 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 12:24:08 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.55s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 67 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 77 ( 41 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,axiom,
! [A,B,C,D] :
( B != D
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [A,B,C,D] :
( between_o(A,D,C,B)
| ~ ordered_by(A,C,D)
| ~ ordered_by(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [A,B] :
( incident_o(A,B)
| ~ finish_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( ordered_by(B,C,A)
| ~ incident_o(C,B)
| A = C
| ~ finish_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [A,B,C] :
( incident_o(C,A)
| ~ ordered_by(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [A,B,C,D] :
( between_c(ax2_sk4(A,D,C,B),B,C,D)
| ~ between_o(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
finish_point(sk26,sk25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
finish_point(sk27,sk25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,plain,
! [B,D] :
( B != D
| ! [A,C] : ~ between_c(A,B,C,D) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( between_o(X0,X3,X2,X1)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f187,plain,
! [X0,X1] :
( incident_o(X0,X1)
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ordered_by(X1,X2,X0)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f194,plain,
! [A,C] :
( incident_o(C,A)
| ! [B] : ~ ordered_by(A,B,C) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f195,plain,
! [X0,X1,X2] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f228,plain,
finish_point(sk26,sk25),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f229,plain,
finish_point(sk27,sk25),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f230,plain,
sk26 != sk27,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f235,plain,
! [X0,X1,X2] : ~ between_c(X0,X1,X2,X1),
inference(destructive_equality_resolution,[status(thm)],[f165]) ).
fof(f505,plain,
! [X0,X1,X2] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f202,f235]) ).
fof(f510,plain,
! [X0,X1,X2] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[status(thm)],[f505,f181]) ).
fof(f540,plain,
! [X0,X1,X2] :
( ~ incident_o(X2,X0)
| X1 = X2
| ~ finish_point(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[status(thm)],[f510,f188]) ).
fof(f542,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ finish_point(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f195]) ).
fof(f544,plain,
! [X0,X1,X2] :
( ~ incident_o(X0,X1)
| X2 = X0
| ~ finish_point(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
inference(resolution,[status(thm)],[f542,f188]) ).
fof(f546,plain,
! [X0,X1,X2] :
( ~ incident_o(X0,X1)
| ~ finish_point(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f544]) ).
fof(f547,plain,
! [X0,X1,X2] :
( ~ finish_point(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f187]) ).
fof(f548,plain,
! [X0] :
( X0 = sk27
| ~ finish_point(X0,sk25) ),
inference(resolution,[status(thm)],[f547,f229]) ).
fof(f551,plain,
sk26 = sk27,
inference(resolution,[status(thm)],[f548,f228]) ).
fof(f552,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f551,f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n017.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 20 11:54:56 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.17/0.55 % Refutation found
% 0.17/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.58 % Elapsed time: 0.106133 seconds
% 0.21/0.58 % CPU time: 0.495215 seconds
% 0.21/0.58 % Total memory used: 87.381 MB
% 0.21/0.58 % Net memory used: 86.925 MB
%------------------------------------------------------------------------------