TSTP Solution File: SWV242-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV242-1 : 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 12:41:00 EDT 2023
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1372,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1387,axiom,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1388,axiom,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1389,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(f1390,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1391,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1392,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2887,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1372]) ).
fof(f2908,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(cnf_transformation,[status(esa)],[f1387]) ).
fof(f2909,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(cnf_transformation,[status(esa)],[f1388]) ).
fof(f2910,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)],[f1389]) ).
fof(f2911,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)],[f2910]) ).
fof(f2912,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1390]) ).
fof(f2913,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1391]) ).
fof(f2914,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1392]) ).
fof(f2915,plain,
( spl0_0
<=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f2917,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(component_clause,[status(thm)],[f2915]) ).
fof(f2918,plain,
( spl0_1
<=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f2920,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(component_clause,[status(thm)],[f2918]) ).
fof(f2921,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f2914,f2915,f2918]) ).
fof(f2964,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(resolution,[status(thm)],[f2911,f2917]) ).
fof(f2975,plain,
! [X0] :
( ~ c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(resolution,[status(thm)],[f2964,f2887]) ).
fof(f2978,plain,
( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_0 ),
inference(resolution,[status(thm)],[f2975,f2913]) ).
fof(f2979,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f2909]) ).
fof(f2980,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2981,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,X0,tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f2920,f2911]) ).
fof(f2992,plain,
! [X0] :
( ~ c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f2981,f2887]) ).
fof(f3010,plain,
( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f2992,f2912]) ).
fof(f3011,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3010,f2908]) ).
fof(f3012,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f3011]) ).
fof(f3013,plain,
$false,
inference(sat_refutation,[status(thm)],[f2921,f2980,f3012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV242-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:43:52 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % Drodi V3.5.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.39/0.62 % Elapsed time: 0.068237 seconds
% 0.39/0.62 % CPU time: 0.122232 seconds
% 0.39/0.62 % Memory used: 26.645 MB
%------------------------------------------------------------------------------