TSTP Solution File: SWV260-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 107 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 104 ( 50 ~; 51 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 70 (; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),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_X,V_G,V_H] :
( ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),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_X,V_H] :
( ! [V_G] :
( ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) )
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f28,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f24,f13]) ).
fof(f29,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f28,f22]) ).
fof(f30,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X0,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0 ),
inference(resolution,[status(thm)],[f30,f20]) ).
fof(f38,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f29,f14]) ).
fof(f49,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[f38,f11]) ).
fof(f52,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference(resolution,[status(thm)],[f49,f18]) ).
fof(f54,plain,
( spl0_1
<=> c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f56,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_1 ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( spl0_2
<=> c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
inference(resolution,[status(thm)],[f52,f31]) ).
fof(f61,plain,
( ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f60,f54,f57]) ).
fof(f62,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f11]) ).
fof(f63,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f62]) ).
fof(f74,plain,
( spl0_4
<=> c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f76,plain,
( ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_4 ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(paramodulation,[status(thm)],[f58,f29]) ).
fof(f78,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f77,f54,f74,f57]) ).
fof(f91,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_4 ),
inference(resolution,[status(thm)],[f76,f24]) ).
fof(f92,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[status(thm)],[f91,f22]) ).
fof(f93,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X0,tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[status(thm)],[f91,f21]) ).
fof(f94,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[status(thm)],[f93,f12]) ).
fof(f118,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[status(thm)],[f92,f12]) ).
fof(f122,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[status(thm)],[f118,f14]) ).
fof(f124,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[status(thm)],[f122,f16]) ).
fof(f125,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f94]) ).
fof(f126,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f127,plain,
$false,
inference(sat_refutation,[status(thm)],[f61,f63,f78,f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:55:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45 % Elapsed time: 0.095666 seconds
% 0.20/0.45 % CPU time: 0.276404 seconds
% 0.20/0.45 % Memory used: 33.088 MB
%------------------------------------------------------------------------------