%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 0.13s 0.54s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 55 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U,V] : between(U,U,V),
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,axiom,
! [U,V,W,X] :
( V = W
| between(U,W,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [X0,X1,X2] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f115,plain,
! [X0,X1] : between(X0,X0,X1),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f126,plain,
! [V,W,X] :
( between(V,W,X)
| ! [U] :
( ~ between(U,W,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [V,W] :
( V = W
| ! [U,X] :
( between(U,W,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| between(X0,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,plain,
between(u,v,x),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f133,plain,
between(v,w,x),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f134,plain,
~ between(u,w,x),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f144,plain,
~ between(x,w,u),
inference(resolution,[status(thm)],[f114,f134]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ between(X3,X2,X0)
| between(X1,X2,X3)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f127,f114]) ).
fof(f175,plain,
! [X0] :
( v = w
| between(X0,w,x)
| ~ between(X0,v,w) ),
inference(resolution,[status(thm)],[f129,f133]) ).
fof(f531,plain,
! [X0] :
( between(X0,w,v)
| ~ between(x,X0,w) ),
inference(resolution,[status(thm)],[f172,f133]) ).
fof(f532,plain,
! [X0] :
( between(X0,v,u)
| ~ between(x,X0,v) ),
inference(resolution,[status(thm)],[f172,f132]) ).
fof(f543,plain,
between(x,w,v),
inference(resolution,[status(thm)],[f531,f115]) ).
fof(f558,plain,
between(w,v,u),
inference(resolution,[status(thm)],[f532,f543]) ).
fof(f560,plain,
between(x,v,u),
inference(resolution,[status(thm)],[f532,f115]) ).
fof(f565,plain,
! [X0] :
( between(X0,v,w)
| ~ between(u,X0,v) ),
inference(resolution,[status(thm)],[f558,f172]) ).
fof(f629,plain,
between(u,v,w),
inference(resolution,[status(thm)],[f565,f115]) ).
fof(f631,plain,
( v = w
| between(u,w,x) ),
inference(resolution,[status(thm)],[f629,f175]) ).
fof(f666,plain,
~ between(x,v,u),
inference(backward_demodulation,[status(thm)],[f740,f144]) ).
fof(f740,plain,
v = w,
inference(forward_subsumption_resolution,[status(thm)],[f631,f134]) ).
fof(f763,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f666,f560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.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 08:38:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.46/0.56 % Elapsed time: 0.190293 seconds
% 0.46/0.56 % CPU time: 1.166724 seconds
% 0.46/0.56 % Total memory used: 113.182 MB
% 0.46/0.56 % Net memory used: 111.369 MB
%------------------------------------------------------------------------------