TSTP Solution File: LAT278-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT278-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 : Tue Apr 30 20:25:35 EDT 2024
% Result : Unsatisfiable 5.68s 1.16s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 33 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 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 : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2737,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2738,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_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2743,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2744,negated_conjecture,
~ c_Relation_Orefl(v_A,v_r,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6098,plain,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
inference(cnf_transformation,[status(esa)],[f2737]) ).
fof(f6099,plain,
! [X0,X1] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
inference(cnf_transformation,[status(esa)],[f2738]) ).
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_Orefl(v_A,v_r,t_a),
inference(cnf_transformation,[status(esa)],[f2744]) ).
fof(f6303,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(f6305,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)],[f6303]) ).
fof(f6306,plain,
( spl0_5
<=> c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
introduced(split_symbol_definition) ).
fof(f6307,plain,
( c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f6306]) ).
fof(f6309,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
inference(paramodulation,[status(thm)],[f6098,f6099]) ).
fof(f6310,plain,
( ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f6309,f6303,f6306]) ).
fof(f6316,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f6305,f6103]) ).
fof(f6317,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f6316]) ).
fof(f6318,plain,
( c_Relation_Orefl(v_A,v_r,t_a)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f6104,f6307]) ).
fof(f6319,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f6318,f6105]) ).
fof(f6320,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f6319]) ).
fof(f6321,plain,
$false,
inference(sat_refutation,[status(thm)],[f6310,f6317,f6320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT278-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:15:24 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 % Drodi V3.6.0
% 5.68/1.16 % Refutation found
% 5.68/1.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.68/1.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.83/1.20 % Elapsed time: 0.880354 seconds
% 5.83/1.20 % CPU time: 5.854975 seconds
% 5.83/1.20 % Total memory used: 228.389 MB
% 5.83/1.20 % Net memory used: 227.066 MB
%------------------------------------------------------------------------------