%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.14s 0.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 16 unt; 4 def)
% Number of atoms : 77 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 36 ~; 35 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [U,V,W,X] :
( between(V,X,W)
| between(V,W,X)
| U = V
| ~ between(U,V,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,hypothesis,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,hypothesis,
between(d,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,hypothesis,
between(e,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,hypothesis,
~ between(d,e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,plain,
! [X0,X1,X2] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f190,plain,
! [V,W,X] :
( between(V,X,W)
| between(V,W,X)
| ! [U] :
( U = V
| ~ between(U,V,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( between(X1,X3,X2)
| between(X1,X2,X3)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
a != c,
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f193,plain,
between(d,a,c),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f194,plain,
between(e,a,c),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f195,plain,
~ between(d,e,a),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f196,plain,
~ between(e,d,a),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f206,plain,
~ between(a,e,d),
inference(resolution,[status(thm)],[f140,f195]) ).
fof(f207,plain,
~ between(a,d,e),
inference(resolution,[status(thm)],[f140,f196]) ).
fof(f541,definition,
( sQ50_spl
<=> between(a,e,d) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ50_spl
| between(a,e,d) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f630,plain,
! [X0] :
( between(a,e,d)
| X0 = a
| ~ between(X0,a,d)
| ~ between(X0,a,e) ),
inference(resolution,[status(thm)],[f207,f191]) ).
fof(f644,definition,
! [X0] :
( sQ60_spl
<=> ( X0 = a
| ~ between(X0,a,d)
| ~ between(X0,a,e) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f645,plain,
! [X0] :
( ~ sQ60_spl
| X0 = a
| ~ between(X0,a,d)
| ~ between(X0,a,e) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( sQ50_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f630,f644,f541]) ).
fof(f687,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f542]) ).
fof(f688,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f743,plain,
( ~ sQ60_spl
| ~ between(c,a,d)
| ~ between(c,a,e) ),
inference(resolution,[status(thm)],[f645,f192]) ).
fof(f744,definition,
( sQ73_spl
<=> between(c,a,e) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( sQ73_spl
| ~ between(c,a,e) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ74_spl
<=> between(c,a,d) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( sQ74_spl
| ~ between(c,a,d) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f743,f744,f747,f644]) ).
fof(f760,plain,
( sQ73_spl
| ~ between(e,a,c) ),
inference(resolution,[status(thm)],[f746,f140]) ).
fof(f787,plain,
( sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f194]) ).
fof(f788,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f798,plain,
( sQ74_spl
| ~ between(d,a,c) ),
inference(resolution,[status(thm)],[f749,f140]) ).
fof(f825,plain,
( sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f193]) ).
fof(f826,plain,
sQ74_spl,
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f827,plain,
$false,
inference(sat_refutation,[status(thm)],[f647,f688,f750,f788,f826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 08:15:24 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.50 % Refutation found
% 0.14/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.84/0.53 % Elapsed time: 0.158853 seconds
% 0.84/0.53 % CPU time: 0.979419 seconds
% 0.84/0.53 % Total memory used: 111.495 MB
% 0.84/0.53 % Net memory used: 110.263 MB
%------------------------------------------------------------------------------