%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:23:54 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.54s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 10 unt; 2 def)
% Number of atoms : 56 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 26 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [U,V,W,X] :
( between(V,W,X)
| ~ between(U,W,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [U,V,W,X] :
( V = W
| between(U,V,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,plain,
! [V,W,X] :
( between(V,W,X)
| ! [U] :
( ~ between(U,W,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [V,W] :
( V = W
| ! [U,X] :
( between(U,V,X)
| ~ between(V,W,X)
| ~ between(U,V,W) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| between(X0,X1,X3)
| ~ between(X1,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f135,plain,
between(u,v,w),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f136,plain,
between(u,w,x),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f137,plain,
~ between(u,v,x),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f176,definition,
( sQ5_spl
<=> w = v ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ5_spl
| w = v ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f202,plain,
( ~ sQ5_spl
| between(u,v,x) ),
inference(backward_demodulation,[status(thm)],[f177,f136]) ).
fof(f204,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f137]) ).
fof(f205,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f278,plain,
! [X0] :
( v = w
| between(u,v,X0)
| ~ between(v,w,X0) ),
inference(resolution,[status(thm)],[f135,f132]) ).
fof(f281,plain,
! [X0] :
( between(v,w,X0)
| ~ between(u,w,X0) ),
inference(resolution,[status(thm)],[f135,f128]) ).
fof(f290,definition,
! [X0] :
( sQ14_spl
<=> ( between(u,v,X0)
| ~ between(v,w,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f291,plain,
! [X0] :
( ~ sQ14_spl
| between(u,v,X0)
| ~ between(v,w,X0) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f278,f290,f176]) ).
fof(f720,plain,
between(v,w,x),
inference(resolution,[status(thm)],[f281,f136]) ).
fof(f909,plain,
( ~ sQ14_spl
| between(u,v,x) ),
inference(resolution,[status(thm)],[f291,f720]) ).
fof(f913,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f137]) ).
fof(f914,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f915,plain,
$false,
inference(sat_refutation,[status(thm)],[f205,f293,f914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.38 % Computer : n004.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Sun Sep 20 08:39:21 UTC 2026
% 0.10/15.38 % CPUTime :
% 0.10/15.39 % Drodi V4.1.1
% 0.15/15.54 % Refutation found
% 0.15/15.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/15.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/15.56 % Elapsed time: 0.165610 seconds
% 0.15/15.56 % CPU time: 1.030002 seconds
% 0.15/15.56 % Total memory used: 112.085 MB
% 0.15/15.56 % Net memory used: 110.374 MB
%------------------------------------------------------------------------------