%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:23:44 PM UTC 2026
% Result : Unsatisfiable 152.49s 19.72s
% Output : CNFRefutation 152.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U,V,X,W] :
( between(U,W,X)
| ~ between(V,W,X)
| ~ between(U,V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U,V,W,X] :
( between(U,V,X)
| ~ between(U,W,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U,V,X,W] :
( between(U,W,V)
| between(U,V,W)
| ~ between(U,W,X)
| ~ between(U,V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,plain,
! [X0,X1,X2] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f160,plain,
! [U,X,W] :
( between(U,W,X)
| ! [V] :
( ~ between(V,W,X)
| ~ between(U,V,X) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( between(X0,X3,X2)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
! [U,V,X] :
( between(U,V,X)
| ! [W] :
( ~ between(U,W,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( between(X0,X1,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f196,plain,
! [U,V,W] :
( between(U,W,V)
| between(U,V,W)
| ! [X] :
( ~ between(U,W,X)
| ~ between(U,V,X) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( between(X0,X3,X1)
| between(X0,X1,X3)
| ~ between(X0,X3,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f200,plain,
between(a,c,e),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f201,plain,
between(a,d,e),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f202,plain,
between(c,b,d),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f203,plain,
~ between(a,b,e),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f211,plain,
between(d,b,c),
inference(resolution,[status(thm)],[f142,f202]) ).
fof(f323,plain,
! [X0] :
( between(X0,b,c)
| ~ between(X0,d,c) ),
inference(resolution,[status(thm)],[f161,f211]) ).
fof(f324,plain,
! [X0] :
( between(X0,b,d)
| ~ between(X0,c,d) ),
inference(resolution,[status(thm)],[f161,f202]) ).
fof(f357,plain,
! [X0] :
( between(a,X0,e)
| ~ between(a,X0,d) ),
inference(resolution,[status(thm)],[f163,f201]) ).
fof(f358,plain,
! [X0] :
( between(a,X0,e)
| ~ between(a,X0,c) ),
inference(resolution,[status(thm)],[f163,f200]) ).
fof(f727,plain,
! [X0] :
( between(a,d,X0)
| between(a,X0,d)
| ~ between(a,X0,e) ),
inference(resolution,[status(thm)],[f197,f201]) ).
fof(f15209,plain,
( between(a,d,c)
| between(a,c,d) ),
inference(resolution,[status(thm)],[f727,f200]) ).
fof(f15745,plain,
( between(a,b,c)
| between(a,c,d) ),
inference(resolution,[status(thm)],[f15209,f323]) ).
fof(f16161,plain,
( between(a,b,e)
| between(a,c,d) ),
inference(resolution,[status(thm)],[f15745,f358]) ).
fof(f16177,plain,
between(a,c,d),
inference(forward_subsumption_resolution,[status(thm)],[f16161,f203]) ).
fof(f16182,plain,
between(a,b,d),
inference(resolution,[status(thm)],[f16177,f324]) ).
fof(f16212,plain,
between(a,b,e),
inference(resolution,[status(thm)],[f16182,f357]) ).
fof(f16229,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16212,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 08:20:27 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 152.49/19.72 % Refutation found
% 152.49/19.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 152.49/19.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 152.49/19.74 % Elapsed time: 19.374678 seconds
% 152.49/19.74 % CPU time: 153.478743 seconds
% 152.49/19.74 % Total memory used: 303.097 MB
% 152.49/19.74 % Net memory used: 262.583 MB
%------------------------------------------------------------------------------