TSTP Solution File: LAT259-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:17:09 EDT 2023
% Result : Unsatisfiable 0.10s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 50 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 21 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
v_a != v_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_r,T_a,V_V,V_U] :
( ~ c_Relation_Oantisym(V_r,T_a)
| ~ c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))
| V_U = V_V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,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(f7,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
v_a != v_b,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [V_V,V_U] :
( ! [V_r,T_a] :
( ~ c_Relation_Oantisym(V_r,T_a)
| ~ c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a))
| ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a)) )
| V_U = V_V ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( ~ c_Relation_Oantisym(X0,X1)
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| X3 = X2 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,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)],[f5]) ).
fof(f14,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)],[f6]) ).
fof(f15,plain,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[status(thm)],[f13,f14]) ).
fof(f17,plain,
c_Relation_Oantisym(v_r,t_a),
inference(forward_demodulation,[status(thm)],[f15,f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X1 = X0 ),
inference(resolution,[status(thm)],[f17,f12]) ).
fof(f22,plain,
( spl0_1
<=> v_b = v_a ),
introduced(split_symbol_definition) ).
fof(f23,plain,
( v_b = v_a
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f27,plain,
( spl0_2
<=> c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(split_symbol_definition) ).
fof(f29,plain,
( ~ c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_2 ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( ~ c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))
| v_a = v_b ),
inference(resolution,[status(thm)],[f18,f8]) ).
fof(f31,plain,
( ~ spl0_2
| spl0_1 ),
inference(split_clause,[status(thm)],[f30,f27,f22]) ).
fof(f32,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f9]) ).
fof(f33,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f32]) ).
fof(f34,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f10]) ).
fof(f35,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f34]) ).
fof(f36,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f33,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n007.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 : Tue May 30 09:16:02 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.32 % Refutation found
% 0.10/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56 % Elapsed time: 0.031781 seconds
% 0.15/0.56 % CPU time: 0.011552 seconds
% 0.15/0.56 % Memory used: 2.271 MB
%------------------------------------------------------------------------------