%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO043-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 75.38s 10.01s
% Output : CNFRefutation 75.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 13 unt; 3 def)
% Number of atoms : 62 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ between(X,Y,X) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f66,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(f67,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X4,X3,X2)
| between(X3,inner_pasch(X0,X1,X2,X3,X4),X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f111,plain,
! [X0,X1,X2] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f123,plain,
between(u,v,w),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f124,plain,
between(u,w,x),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f125,plain,
~ between(v,w,x),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f180,plain,
between(w,v,u),
inference(resolution,[status(thm)],[f123,f111]) ).
fof(f202,plain,
between(x,w,u),
inference(resolution,[status(thm)],[f124,f111]) ).
fof(f307,plain,
! [X0,X1,X2,X3] :
( inner_pasch(X0,X1,X2,X3,X1) = X1
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f66,f65]) ).
fof(f394,plain,
! [X0] :
( ~ between(X0,w,u)
| inner_pasch(X0,w,u,v,w) = w ),
inference(resolution,[status(thm)],[f307,f180]) ).
fof(f1333,definition,
( sQ30_spl
<=> between(x,w,u) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( sQ30_spl
| ~ between(x,w,u) ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1357,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f202]) ).
fof(f1358,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1357]) ).
fof(f1434,definition,
( sQ44_spl
<=> between(w,v,u) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( sQ44_spl
| ~ between(w,v,u) ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1458,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1436,f180]) ).
fof(f1459,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f1458]) ).
fof(f2260,plain,
w = inner_pasch(x,w,u,v,w),
inference(resolution,[status(thm)],[f394,f202]) ).
fof(f7672,plain,
( ~ between(w,v,u)
| between(v,w,x)
| ~ between(x,w,u) ),
inference(paramodulation,[status(thm)],[f2260,f67]) ).
fof(f7679,definition,
( sQ177_spl
<=> between(v,w,x) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f7680,plain,
( ~ sQ177_spl
| between(v,w,x) ),
inference(component_clause,[status(thm)],[f7679]) ).
fof(f7682,plain,
( ~ sQ44_spl
| sQ177_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f7672,f1333,f7679,f1434]) ).
fof(f7708,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7680,f125]) ).
fof(f7709,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f7708]) ).
fof(f7710,plain,
$false,
inference(sat_refutation,[status(thm)],[f1358,f1459,f7682,f7709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO043-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:36:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 75.38/10.01 % Refutation found
% 75.38/10.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 75.38/10.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 75.38/10.03 % Elapsed time: 9.656094 seconds
% 75.38/10.03 % CPU time: 76.342798 seconds
% 75.38/10.03 % Total memory used: 251.438 MB
% 75.38/10.03 % Net memory used: 219.272 MB
%------------------------------------------------------------------------------