TSTP Solution File: SWV261-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:41:05 EDT 2023
% Result : Unsatisfiable 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 88 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 36 ~; 41 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 91 (; 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_G,V_H] : c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,V_B,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_a,V_b,V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a)
| V_a = V_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [V_A,V_B,T_a] :
( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
c_in(v_X,v_G,tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [V_c,V_B,T_a] :
( ~ c_in(V_c,V_B,T_a)
| ! [V_A] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f17,plain,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,V_A,T_a)
| ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [V_a,V_b] :
( ! [V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a) )
| V_a = V_b ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f23,plain,
! [V_C,T_a,V_A] :
( ! [V_B] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| c_lessequals(V_A,V_C,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ c_lessequals(X0,c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f24,f12]) ).
fof(f26,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f25,f14]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0 ),
inference(resolution,[status(thm)],[f21,f20]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ),
inference(resolution,[status(thm)],[f22,f18]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ),
inference(resolution,[status(thm)],[f22,f16]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2) = X0
| c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f40,f44]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),c_union(X3,X1,X2),tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),c_union(X3,X1,X2),X2) = X0 ),
inference(duplicate_literals_removal,[status(esa)],[f147]) ).
fof(f159,plain,
! [X0] :
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(X0,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X
| ~ c_lessequals(c_Message_Oparts(c_union(X0,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f148,f26]) ).
fof(f199,plain,
c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X,
inference(resolution,[status(thm)],[f159,f13]) ).
fof(f201,plain,
( spl0_0
<=> c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f202,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f214,plain,
( spl0_3
<=> c_in(v_X,v_G,tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( ~ c_in(v_X,v_G,tc_Message_Omsg)
| spl0_3 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,v_G,tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f199,f43]) ).
fof(f218,plain,
( spl0_0
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f217,f201,f214]) ).
fof(f234,plain,
( ~ c_lessequals(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f202,f26]) ).
fof(f235,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f234,f13]) ).
fof(f236,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f11]) ).
fof(f238,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f237]) ).
fof(f239,plain,
$false,
inference(sat_refutation,[status(thm)],[f218,f236,f238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n021.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 11:36:52 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 0.13/0.32 % Refutation found
% 0.13/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.54 % Elapsed time: 0.014606 seconds
% 0.13/0.54 % CPU time: 0.021301 seconds
% 0.13/0.54 % Memory used: 3.097 MB
%------------------------------------------------------------------------------