%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT263-1 : 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 01:02:26 PM UTC 2026
% Result : Unsatisfiable 81.85s 11.09s
% Output : CNFRefutation 81.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 18 unt; 3 def)
% Number of atoms : 70 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 32 ~; 31 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2738,axiom,
! [V_cl,T_a,V_S] :
( c_in(c_Tarski_Olub(V_S,V_cl,T_a),c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),T_a)
| ~ c_lessequals(V_S,c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),tc_set(T_a))
| ~ c_in(V_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2743,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2744,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2745,axiom,
! [V_S,V_cl,T_a] : c_Tarski_Oglb(V_S,V_cl,T_a) = c_Tarski_Olub(V_S,c_Tarski_Odual(V_cl,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2746,axiom,
! [V_cl,T_a] : c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2747,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2748,negated_conjecture,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6102,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnf_transformation,[status(thm)],[f2737]) ).
fof(f6103,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
| c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
inference(cnf_transformation,[status(thm)],[f2738]) ).
fof(f6108,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(thm)],[f2743]) ).
fof(f6109,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(thm)],[f2744]) ).
fof(f6110,plain,
! [X0,X1,X2] : c_Tarski_Oglb(X0,X1,X2) = c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),
inference(cnf_transformation,[status(thm)],[f2745]) ).
fof(f6111,plain,
! [X0,X1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
inference(cnf_transformation,[status(thm)],[f2746]) ).
fof(f6112,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnf_transformation,[status(thm)],[f2747]) ).
fof(f6113,plain,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
inference(cnf_transformation,[status(thm)],[f2748]) ).
fof(f6333,plain,
! [X0,X1,X2] :
( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),X2)
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) ),
inference(paramodulation,[status(thm)],[f6111,f6103]) ).
fof(f6334,plain,
! [X0,X1,X2] :
( c_in(c_Tarski_Oglb(X0,X1,X2),c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),X2)
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) ),
inference(forward_demodulation,[status(thm)],[f6110,f6333]) ).
fof(f6335,plain,
! [X0,X1,X2] :
( ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Tarski_Oglb(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(forward_demodulation,[status(thm)],[f6111,f6334]) ).
fof(f6345,definition,
( sQ20_spl
<=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f6347,plain,
( sQ20_spl
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(component_clause,[status(thm)],[f6345]) ).
fof(f6351,definition,
( sQ22_spl
<=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f6353,plain,
( sQ22_spl
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(component_clause,[status(thm)],[f6351]) ).
fof(f6640,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6347,f6109]) ).
fof(f6641,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f6640]) ).
fof(f8305,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6108,f6353]) ).
fof(f8306,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f8305]) ).
fof(f8311,plain,
! [X0] :
( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
inference(paramodulation,[status(thm)],[f6102,f6335]) ).
fof(f8312,definition,
! [X0] :
( sQ127_spl
<=> ( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f8313,plain,
! [X0] :
( ~ sQ127_spl
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
inference(component_clause,[status(thm)],[f8312]) ).
fof(f8315,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f8311,f8312,f6345,f6351]) ).
fof(f8316,plain,
! [X0] :
( ~ sQ127_spl
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a) ),
inference(forward_demodulation,[status(thm)],[f6102,f8313]) ).
fof(f8439,plain,
( ~ sQ127_spl
| c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a) ),
inference(resolution,[status(thm)],[f8316,f6112]) ).
fof(f8441,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8439,f6113]) ).
fof(f8442,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f8441]) ).
fof(f8443,plain,
$false,
inference(sat_refutation,[status(thm)],[f6641,f8306,f8315,f8442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT263-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n003.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 23:25:15 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.38/0.69 % Drodi V4.1.1
% 81.85/11.09 % Refutation found
% 81.85/11.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.85/11.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.93/11.41 % Elapsed time: 10.939141 seconds
% 1.93/11.41 % CPU time: 83.037934 seconds
% 1.93/11.41 % Total memory used: 536.301 MB
% 1.93/11.41 % Net memory used: 495.774 MB
%------------------------------------------------------------------------------