%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 01:02:28 PM UTC 2026
% Result : Unsatisfiable 42.49s 5.90s
% Output : CNFRefutation 41.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 12 unt; 4 def)
% Number of atoms : 60 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2738,axiom,
! [V_b,V_a] :
( c_Tarski_Ointerval(v_r,V_a,V_b,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,V_a,V_b,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,V_a,V_b,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(V_a,v_A,t_a)
| ~ c_in(V_b,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2743,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2744,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2745,axiom,
! [V_x] :
( c_Tarski_Ointerval(v_r,V_x,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset
| ~ c_in(V_x,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2746,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6100,plain,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[status(thm)],[f2737]) ).
fof(f6101,plain,
! [X0,X1] :
( c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(cnf_transformation,[status(thm)],[f2738]) ).
fof(f6106,plain,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
inference(cnf_transformation,[status(thm)],[f2743]) ).
fof(f6107,plain,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[status(thm)],[f2744]) ).
fof(f6108,plain,
! [X0] :
( c_Tarski_Ointerval(v_r,X0,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset
| ~ c_in(X0,v_A,t_a) ),
inference(cnf_transformation,[status(thm)],[f2745]) ).
fof(f6109,plain,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(thm)],[f2746]) ).
fof(f30233,plain,
( c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ),
inference(paramodulation,[status(thm)],[f6106,f6101]) ).
fof(f30235,definition,
( sQ1286_spl
<=> c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ),
introduced(definition,[new_symbols(definition,[sQ1286_spl])],[split_symbol_definition]) ).
fof(f30237,plain,
( sQ1286_spl
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ),
inference(component_clause,[status(thm)],[f30235]) ).
fof(f30238,definition,
( sQ1287_spl
<=> c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
introduced(definition,[new_symbols(definition,[sQ1287_spl])],[split_symbol_definition]) ).
fof(f30239,plain,
( ~ sQ1287_spl
| c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(component_clause,[status(thm)],[f30238]) ).
fof(f30240,plain,
( sQ1287_spl
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(component_clause,[status(thm)],[f30238]) ).
fof(f30241,definition,
( sQ1288_spl
<=> c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(definition,[new_symbols(definition,[sQ1288_spl])],[split_symbol_definition]) ).
fof(f30242,plain,
( ~ sQ1288_spl
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(component_clause,[status(thm)],[f30241]) ).
fof(f30244,definition,
( sQ1289_spl
<=> c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) = c_emptyset ),
introduced(definition,[new_symbols(definition,[sQ1289_spl])],[split_symbol_definition]) ).
fof(f30247,plain,
( sQ1289_spl
| sQ1288_spl
| ~ sQ1287_spl
| ~ sQ1286_spl ),
inference(split_clause,[status(thm)],[f30233,f30235,f30238,f30241,f30244]) ).
fof(f30253,plain,
( sQ1286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f30237,f6100]) ).
fof(f30254,plain,
sQ1286_spl,
inference(contradiction_clause,[status(thm)],[f30253]) ).
fof(f30258,plain,
( ~ sQ1288_spl
| c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(forward_demodulation,[status(thm)],[f6106,f30242]) ).
fof(f30259,plain,
( ~ sQ1288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f30258,f6109]) ).
fof(f30260,plain,
~ sQ1288_spl,
inference(contradiction_clause,[status(thm)],[f30259]) ).
fof(f30403,plain,
( sQ1287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6107,f30240]) ).
fof(f30404,plain,
sQ1287_spl,
inference(contradiction_clause,[status(thm)],[f30403]) ).
fof(f30427,plain,
( ~ sQ1287_spl
| c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ),
inference(resolution,[status(thm)],[f30239,f6108]) ).
fof(f30428,plain,
( ~ sQ1287_spl
| ~ sQ1289_spl ),
inference(split_clause,[status(thm)],[f30427,f30244,f30238]) ).
fof(f30429,plain,
$false,
inference(sat_refutation,[status(thm)],[f30247,f30254,f30260,f30404,f30428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:26:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.42 % Drodi V4.1.1
% 42.49/5.90 % Refutation found
% 42.49/5.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.49/5.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.94/6.02 % Elapsed time: 5.636506 seconds
% 2.94/6.02 % CPU time: 43.887691 seconds
% 2.94/6.02 % Total memory used: 776.086 MB
% 2.94/6.02 % Net memory used: 707.550 MB
%------------------------------------------------------------------------------