%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO117-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:24:07 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 23 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B,C,D] :
( end_point(B,ax1_sk1(D,C,B,A))
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A,B,C,D] :
( inner_point(C,ax1_sk1(D,C,B,A))
| ~ 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(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,
ordered_by(sk25,sk26,sk26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f124,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( end_point(X1,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f179,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(f200,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(f226,plain,
ordered_by(sk25,sk26,sk26),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f319,plain,
! [X0,X1,X2,X3] :
( ~ end_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f167,f124]) ).
fof(f418,plain,
! [X0,X1,X2] :
( ~ between_c(X0,X1,X1,X2)
| ~ between_c(X0,X1,X1,X2) ),
inference(resolution,[status(thm)],[f319,f165]) ).
fof(f420,plain,
! [X0,X1,X2] : ~ between_c(X0,X1,X1,X2),
inference(duplicate_literals_removal,[status(thm)],[f418]) ).
fof(f466,plain,
! [X0,X1,X2] : ~ between_o(X0,X1,X1,X2),
inference(resolution,[status(thm)],[f200,f420]) ).
fof(f469,plain,
! [X0,X1,X2] :
( ~ ordered_by(X0,X2,X2)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[status(thm)],[f466,f179]) ).
fof(f506,plain,
! [X0] : ~ ordered_by(sk25,X0,sk26),
inference(resolution,[status(thm)],[f469,f226]) ).
fof(f510,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f226,f506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO117-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 11:38:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % 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: 0.070998 seconds
% 0.09/0.45 % CPU time: 0.222692 seconds
% 0.09/0.45 % Total memory used: 84.841 MB
% 0.09/0.45 % Net memory used: 84.647 MB
%------------------------------------------------------------------------------