TSTP Solution File: SWV879-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV879-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:49:29 EDT 2024
% Result : Unsatisfiable 6.60s 1.28s
% Output : CNFRefutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 58 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 21 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f616,axiom,
! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f640,axiom,
! [V_G,V_ts] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f647,axiom,
! [V_x,V_A,T_a,V_B] :
( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ hBOOL(c_in(V_x,V_B,T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f857,axiom,
! [V_x,V_A,T_aa,V_f,T_a] :
( ~ hBOOL(c_in(V_x,V_A,T_aa))
| hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f862,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f863,negated_conjecture,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f864,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1935,plain,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[status(esa)],[f616]) ).
fof(f1973,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_P,X0),X1))
| ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f640]) ).
fof(f1983,plain,
! [V_x,T_a,V_B] :
( ! [V_A] :
( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) )
| ~ hBOOL(c_in(V_x,V_B,T_a)) ),
inference(miniscoping,[status(esa)],[f647]) ).
fof(f1984,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ hBOOL(c_in(X0,X3,X2)) ),
inference(cnf_transformation,[status(esa)],[f1983]) ).
fof(f2302,plain,
! [V_x,V_A,T_aa] :
( ~ hBOOL(c_in(V_x,V_A,T_aa))
| ! [V_f,T_a] : hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ),
inference(miniscoping,[status(esa)],[f857]) ).
fof(f2303,plain,
! [X0,X1,X2,X3,X4] :
( ~ hBOOL(c_in(X0,X1,X2))
| hBOOL(c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)) ),
inference(cnf_transformation,[status(esa)],[f2302]) ).
fof(f2311,plain,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
inference(cnf_transformation,[status(esa)],[f862]) ).
fof(f2312,plain,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
inference(cnf_transformation,[status(esa)],[f863]) ).
fof(f2313,plain,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(cnf_transformation,[status(esa)],[f864]) ).
fof(f2384,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(forward_demodulation,[status(thm)],[f2311,f2313]) ).
fof(f2405,plain,
( spl0_5
<=> hBOOL(c_in(v_x,v_U,tc_Com_Opname)) ),
introduced(split_symbol_definition) ).
fof(f2407,plain,
( ~ hBOOL(c_in(v_x,v_U,tc_Com_Opname))
| spl0_5 ),
inference(component_clause,[status(thm)],[f2405]) ).
fof(f2420,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f2407,f2312]) ).
fof(f2421,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f2420]) ).
fof(f4019,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(resolution,[status(thm)],[f1973,f2384]) ).
fof(f5954,plain,
( spl0_171
<=> hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)) ),
introduced(split_symbol_definition) ).
fof(f5956,plain,
( ~ hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a))
| spl0_171 ),
inference(component_clause,[status(thm)],[f5954]) ).
fof(f6040,plain,
( spl0_176
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f6042,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| spl0_176 ),
inference(component_clause,[status(thm)],[f6040]) ).
fof(f6841,plain,
! [X0] :
( ~ hBOOL(c_in(X0,v_U,tc_Com_Opname))
| hBOOL(c_in(hAPP(v_mgt__call,X0),v_G,t_a)) ),
inference(paramodulation,[status(thm)],[f2311,f2303]) ).
fof(f8395,plain,
( ~ hBOOL(c_in(v_x,v_U,tc_Com_Opname))
| spl0_171 ),
inference(resolution,[status(thm)],[f5956,f6841]) ).
fof(f8396,plain,
( ~ spl0_5
| spl0_171 ),
inference(split_clause,[status(thm)],[f8395,f2405,f5954]) ).
fof(f11007,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| ~ hBOOL(c_in(hAPP(v_mgt__call,v_x),v_G,t_a)) ),
inference(resolution,[status(thm)],[f1984,f4019]) ).
fof(f11008,plain,
( ~ spl0_176
| ~ spl0_171 ),
inference(split_clause,[status(thm)],[f11007,f6040,f5954]) ).
fof(f11033,plain,
( $false
| spl0_176 ),
inference(forward_subsumption_resolution,[status(thm)],[f6042,f1935]) ).
fof(f11034,plain,
spl0_176,
inference(contradiction_clause,[status(thm)],[f11033]) ).
fof(f11035,plain,
$false,
inference(sat_refutation,[status(thm)],[f2421,f8396,f11008,f11034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV879-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:09:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.42 % Drodi V3.6.0
% 6.60/1.28 % Refutation found
% 6.60/1.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.60/1.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.60/1.32 % Elapsed time: 0.956587 seconds
% 6.60/1.32 % CPU time: 6.953224 seconds
% 6.60/1.32 % Total memory used: 216.938 MB
% 6.60/1.32 % Net memory used: 214.347 MB
%------------------------------------------------------------------------------