%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO001-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:23:42 PM UTC 2026
% Result : Unsatisfiable 1.32s 0.70s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 11 unt; 3 def)
% Number of atoms : 56 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 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/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(f44,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,plain,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f58,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(f59,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(f100,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f103,plain,
between(a,b,c),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f104,plain,
~ between(c,b,a),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( X1 = inner_pasch(X0,X1,X2,X3,X1)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f58,f57]) ).
fof(f175,plain,
! [X0,X1,X2] :
( X1 = inner_pasch(X0,X1,X2,X2,X1)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f163,f100]) ).
fof(f176,plain,
b = inner_pasch(a,b,c,c,b),
inference(resolution,[status(thm)],[f175,f103]) ).
fof(f829,plain,
( between(c,b,a)
| ~ between(b,c,c)
| ~ between(a,b,c) ),
inference(paramodulation,[status(thm)],[f176,f59]) ).
fof(f831,definition,
( sQ4_spl
<=> between(a,b,c) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( sQ4_spl
| ~ between(a,b,c) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ5_spl
<=> between(b,c,c) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ5_spl
| ~ between(b,c,c) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f841,definition,
( sQ7_spl
<=> between(c,b,a) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ7_spl
| between(c,b,a) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f829,f831,f834,f841]) ).
fof(f849,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f100]) ).
fof(f850,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f103]) ).
fof(f852,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f104]) ).
fof(f854,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f855,plain,
$false,
inference(sat_refutation,[status(thm)],[f844,f850,f852,f854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 08:09:11 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 1.32/0.70 % Refutation found
% 1.32/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.32/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.32/0.71 % Elapsed time: 0.344586 seconds
% 1.32/0.71 % CPU time: 2.412096 seconds
% 1.32/0.71 % Total memory used: 114.912 MB
% 1.32/0.71 % Net memory used: 112.517 MB
%------------------------------------------------------------------------------