%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 0.03s 0.39s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 13 unt; 4 def)
% Number of atoms : 65 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 27 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 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(f1,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,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/sandbox/benchmark/theBenchmark.p') ).
fof(f7,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)],[f1]) ).
fof(f8,plain,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,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)],[f3]) ).
fof(f10,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)],[f4]) ).
fof(f11,plain,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,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)],[f6]) ).
fof(f14,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(v_intY1,c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),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(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)],[f10,f9]) ).
fof(f15,definition,
( sQ0_spl
<=> c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
( sQ0_spl
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,definition,
( sQ1_spl
<=> c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20,plain,
( sQ1_spl
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f24,definition,
( sQ3_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,[sQ3_spl])],[split_symbol_definition]) ).
fof(f25,plain,
( ~ sQ3_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(component_clause,[status(thm)],[f24]) ).
fof(f28,definition,
( sQ4_spl
<=> c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),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)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f29,plain,
( ~ sQ4_spl
| c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),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)) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( sQ3_spl
| sQ4_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f15,f18,f28,f24]) ).
fof(f32,plain,
( ~ sQ3_spl
| v_intY1 = c_emptyset ),
inference(forward_demodulation,[status(thm)],[f10,f25]) ).
fof(f33,plain,
( ~ sQ3_spl
| c_emptyset = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) ),
inference(backward_demodulation,[status(thm)],[f32,f10]) ).
fof(f46,plain,
( ~ sQ3_spl
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ),
inference(resolution,[status(thm)],[f12,f33]) ).
fof(f48,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f46,f11]) ).
fof(f49,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f48]) ).
fof(f50,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20,f11]) ).
fof(f51,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f50]) ).
fof(f52,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f8]) ).
fof(f53,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f52]) ).
fof(f54,plain,
( ~ sQ4_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(backward_demodulation,[status(thm)],[f10,f29]) ).
fof(f60,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f7]) ).
fof(f61,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f60]) ).
fof(f62,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f49,f51,f53,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 23:26:00 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.39 % Refutation found
% 0.03/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.42 % Elapsed time: 0.050370 seconds
% 0.03/0.42 % CPU time: 0.128635 seconds
% 0.03/0.42 % Total memory used: 88.861 MB
% 0.03/0.42 % Net memory used: 88.434 MB
%------------------------------------------------------------------------------