%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 12:23:52 PM UTC 2026
% Result : Unsatisfiable 0.14s 11.10s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 47 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 50 ( 50 !; 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(f7,axiom,
! [X,Y] :
( X = Y
| ~ between(X,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,V,W,Y,X] :
( between(V,inner_pasch(U,V,W,X,Y),Y)
| ~ between(Y,X,W)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V,W,Y,X] :
( between(X,inner_pasch(U,V,W,X,Y),U)
| ~ between(Y,X,W)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [U,V,W] :
( W = extension(U,V,V,W)
| U = V
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,hypothesis,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f97,plain,
! [X0,X1,X2] :
( X2 = extension(X0,X1,X1,X2)
| X0 = X1
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f108,plain,
between(u,v,w),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f109,plain,
between(v,u,w),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f110,plain,
u != v,
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( between(X3,inner_pasch(X2,X3,extension(X2,X3,X4,X5),X1,X0),X0)
| ~ between(X0,X1,extension(X2,X3,X4,X5)) ),
inference(resolution,[status(thm)],[f61,f56]) ).
fof(f149,plain,
! [X0,X1] :
( between(X1,inner_pasch(u,v,w,X1,X0),u)
| ~ between(X0,X1,w) ),
inference(resolution,[status(thm)],[f62,f108]) ).
fof(f1066,plain,
( w = extension(u,v,v,w)
| u = v ),
inference(resolution,[status(thm)],[f97,f108]) ).
fof(f1081,plain,
w = extension(u,v,v,w),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f110]) ).
fof(f1855,plain,
! [X0,X1] :
( between(v,inner_pasch(u,v,extension(u,v,v,w),X1,X0),X0)
| ~ between(X0,X1,w) ),
inference(paramodulation,[status(thm)],[f1081,f133]) ).
fof(f1862,plain,
! [X0,X1] :
( between(v,inner_pasch(u,v,w,X1,X0),X0)
| ~ between(X0,X1,w) ),
inference(forward_demodulation,[status(thm)],[f1081,f1855]) ).
fof(f1868,plain,
between(v,inner_pasch(u,v,w,u,v),v),
inference(resolution,[status(thm)],[f1862,f109]) ).
fof(f2223,plain,
v = inner_pasch(u,v,w,u,v),
inference(resolution,[status(thm)],[f1868,f60]) ).
fof(f2374,plain,
between(u,inner_pasch(u,v,w,u,v),u),
inference(resolution,[status(thm)],[f149,f109]) ).
fof(f2381,plain,
between(u,v,u),
inference(forward_demodulation,[status(thm)],[f2223,f2374]) ).
fof(f2396,plain,
u = v,
inference(resolution,[status(thm)],[f2381,f60]) ).
fof(f2402,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2396,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.56 % Computer : n006.cluster.edu
% 0.10/10.56 % Model : x86_64 x86_64
% 0.10/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.56 % Memory : 8046.5625MB
% 0.10/10.56 % OS : Linux 6.8.0-71-generic
% 0.10/10.56 % CPULimit : 300
% 0.10/10.56 % WCLimit : 300
% 0.10/10.56 % DateTime : Sun Sep 20 08:33:42 UTC 2026
% 0.10/10.56 % CPUTime :
% 0.10/10.58 % Drodi V4.1.1
% 0.14/11.10 % Refutation found
% 0.14/11.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/11.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/11.10 % Elapsed time: 0.528612 seconds
% 0.14/11.10 % CPU time: 3.973479 seconds
% 0.14/11.10 % Total memory used: 128.046 MB
% 0.14/11.10 % Net memory used: 123.630 MB
%------------------------------------------------------------------------------