%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO042-3 : 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 8.76s 1.56s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 3 def)
% Number of atoms : 61 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 25 |; 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 : 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/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(f46,axiom,
! [U,V,W] :
( between(W,V,U)
| ~ between(U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,plain,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f65,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(f66,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(f110,plain,
! [X0,X1,X2] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f120,plain,
between(u,v,x),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f121,plain,
between(v,w,x),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f122,plain,
~ between(u,v,w),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f130,plain,
~ between(w,v,u),
inference(resolution,[status(thm)],[f110,f122]) ).
fof(f285,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)],[f65,f64]) ).
fof(f395,plain,
! [X0] :
( v = inner_pasch(X0,v,x,w,v)
| ~ between(X0,v,x) ),
inference(resolution,[status(thm)],[f285,f121]) ).
fof(f602,definition,
( sQ10_spl
<=> between(u,v,x) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( sQ10_spl
| ~ between(u,v,x) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f623,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f120]) ).
fof(f624,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f623]) ).
fof(f629,definition,
( sQ15_spl
<=> between(v,w,x) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( sQ15_spl
| ~ between(v,w,x) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f650,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f121]) ).
fof(f651,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f2514,plain,
v = inner_pasch(u,v,x,w,v),
inference(resolution,[status(thm)],[f395,f120]) ).
fof(f2677,plain,
( between(w,v,u)
| ~ between(v,w,x)
| ~ between(u,v,x) ),
inference(paramodulation,[status(thm)],[f2514,f66]) ).
fof(f2698,definition,
( sQ105_spl
<=> between(w,v,u) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2699,plain,
( ~ sQ105_spl
| between(w,v,u) ),
inference(component_clause,[status(thm)],[f2698]) ).
fof(f2701,plain,
( sQ105_spl
| ~ sQ15_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2677,f602,f629,f2698]) ).
fof(f2703,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2699,f130]) ).
fof(f2704,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2703]) ).
fof(f2705,plain,
$false,
inference(sat_refutation,[status(thm)],[f624,f651,f2701,f2704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.01/0.36 % CPULimit : 300
% 0.01/0.36 % WCLimit : 300
% 0.01/0.36 % DateTime : Sun Sep 20 08:35:12 UTC 2026
% 0.01/0.36 % CPUTime :
% 0.01/0.37 % Drodi V4.1.1
% 8.76/1.56 % Refutation found
% 8.76/1.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.76/1.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.76/1.59 % Elapsed time: 1.227501 seconds
% 8.76/1.59 % CPU time: 9.460917 seconds
% 8.76/1.59 % Total memory used: 152.728 MB
% 8.76/1.59 % Net memory used: 142.646 MB
%------------------------------------------------------------------------------