TSTP Solution File: LAT279-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT279-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:15 EDT 2023
% Result : Unsatisfiable 4.60s 1.05s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 4 (; 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2739,axiom,
! [V_P,T_a] :
( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2742,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2743,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2744,negated_conjecture,
~ c_Relation_Oantisym(v_r,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6100,plain,
! [X0,X1] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
inference(cnf_transformation,[status(esa)],[f2739]) ).
fof(f6103,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(esa)],[f2742]) ).
fof(f6104,plain,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
inference(cnf_transformation,[status(esa)],[f2743]) ).
fof(f6105,plain,
~ c_Relation_Oantisym(v_r,t_a),
inference(cnf_transformation,[status(esa)],[f2744]) ).
fof(f6293,plain,
( spl0_4
<=> c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(split_symbol_definition) ).
fof(f6295,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| spl0_4 ),
inference(component_clause,[status(thm)],[f6293]) ).
fof(f6296,plain,
( spl0_5
<=> c_Relation_Oantisym(v_r,t_a) ),
introduced(split_symbol_definition) ).
fof(f6297,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f6296]) ).
fof(f6299,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Oantisym(v_r,t_a) ),
inference(paramodulation,[status(thm)],[f6104,f6100]) ).
fof(f6300,plain,
( ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f6299,f6293,f6296]) ).
fof(f6301,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f6295,f6103]) ).
fof(f6302,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f6301]) ).
fof(f6303,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f6297,f6105]) ).
fof(f6304,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f6303]) ).
fof(f6305,plain,
$false,
inference(sat_refutation,[status(thm)],[f6300,f6302,f6304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LAT279-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:25:02 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.39 % Drodi V3.5.1
% 4.60/1.05 % Refutation found
% 4.60/1.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.60/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.89/1.08 % Elapsed time: 0.760957 seconds
% 4.89/1.08 % CPU time: 4.896339 seconds
% 4.89/1.08 % Memory used: 196.321 MB
%------------------------------------------------------------------------------