%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO044-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:23:53 PM UTC 2026
% Result : Unsatisfiable 95.87s 12.54s
% Output : CNFRefutation 95.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 62 ( 16 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 60 ( 30 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [U,V,W,X] :
( equidistant(W,X,U,V)
| ~ equidistant(U,V,W,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [Y,U,V,W,X] :
( between(U,V,Y)
| Y != extension(U,V,W,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [U,V,W,X] :
( W = X
| U = V
| ~ equidistant(V,W,V,X)
| ~ between(U,V,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [U,V,W,X] :
( between(V,W,X)
| ~ between(U,W,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,hypothesis,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( equidistant(X2,X3,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f92,plain,
! [Y,U,V] :
( between(U,V,Y)
| ! [W,X] : Y != extension(U,V,W,X) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( between(X1,X2,X0)
| X0 != extension(X1,X2,X3,X4) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f102,plain,
! [W,X] :
( W = X
| ! [U,V] :
( U = V
| ~ equidistant(V,W,V,X)
| ~ between(U,V,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X0 = X1
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f125,plain,
! [V,W,X] :
( between(V,W,X)
| ! [U] :
( ~ between(U,W,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
between(u,v,w),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f128,plain,
between(v,w,x),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f129,plain,
v != w,
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f130,plain,
~ between(u,w,x),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f207,plain,
! [X0] :
( between(v,w,X0)
| ~ between(u,w,X0) ),
inference(resolution,[status(thm)],[f126,f127]) ).
fof(f247,plain,
! [X0,X1,X2,X3] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[status(thm)],[f82,f64]) ).
fof(f563,plain,
! [X0,X1] : between(v,w,extension(u,w,X0,X1)),
inference(resolution,[status(thm)],[f207,f63]) ).
fof(f1128,plain,
! [X0] :
( x = X0
| v = w
| ~ equidistant(w,x,w,X0)
| ~ between(v,w,X0) ),
inference(resolution,[status(thm)],[f103,f128]) ).
fof(f1148,plain,
! [X0] :
( x = X0
| ~ equidistant(w,x,w,X0)
| ~ between(v,w,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f129]) ).
fof(f2490,plain,
! [X0] :
( x = extension(X0,w,w,x)
| ~ between(v,w,extension(X0,w,w,x)) ),
inference(resolution,[status(thm)],[f1148,f247]) ).
fof(f34819,plain,
x = extension(u,w,w,x),
inference(resolution,[status(thm)],[f2490,f563]) ).
fof(f34838,plain,
between(u,w,x),
inference(resolution,[status(thm)],[f34819,f93]) ).
fof(f34986,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f34838,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO044-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 08:41:37 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 95.87/12.54 % Refutation found
% 95.87/12.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 95.87/12.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 95.87/12.58 % Elapsed time: 12.202606 seconds
% 95.87/12.58 % CPU time: 96.435489 seconds
% 95.87/12.58 % Total memory used: 283.078 MB
% 95.87/12.58 % Net memory used: 245.788 MB
%------------------------------------------------------------------------------