TSTP Solution File: SWV880-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV880-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:44:09 EDT 2023
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 77 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 32 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 73 (; 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,axiom,
! [V_x,V_A,T_b,V_f,T_a] :
( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
| c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f411,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))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f441,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/sandbox/benchmark/theBenchmark.p') ).
fof(f452,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f453,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f455,axiom,
! [V_f,T_b,T_a] : c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f470,axiom,
! [V_x,V_A,T_aa,V_f,T_a] :
( ~ c_in(V_x,V_A,T_aa)
| c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f476,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f477,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f478,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1142,plain,
! [V_x,V_A,T_b] :
( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
| ! [V_f,T_a] : c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ),
inference(miniscoping,[status(esa)],[f389]) ).
fof(f1143,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oimage(X3,X0,X2,X4),c_Set_Oimage(X3,X1,X2,X4),tc_fun(X4,tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f1142]) ).
fof(f1181,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)) )
| ~ c_in(V_x,V_B,T_a) ),
inference(miniscoping,[status(esa)],[f411]) ).
fof(f1182,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))
| ~ c_in(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f1181]) ).
fof(f1222,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)],[f441]) ).
fof(f1239,plain,
! [V_x,V_S] :
( ! [T_a] : c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f452]) ).
fof(f1240,plain,
! [X0,X1,X2] :
( c_in(X0,X1,X2)
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1239]) ).
fof(f1241,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ c_in(V_x,V_S,T_a) ),
inference(miniscoping,[status(esa)],[f453]) ).
fof(f1242,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ c_in(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1241]) ).
fof(f1244,plain,
! [X0,X1,X2] : c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(esa)],[f455]) ).
fof(f1269,plain,
! [V_x,V_A,T_aa] :
( ~ c_in(V_x,V_A,T_aa)
| ! [V_f,T_a] : c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f470]) ).
fof(f1270,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_in(X0,X1,X2)
| c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4) ),
inference(cnf_transformation,[status(esa)],[f1269]) ).
fof(f1280,plain,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
inference(cnf_transformation,[status(esa)],[f476]) ).
fof(f1281,plain,
c_in(v_pn,v_U,tc_Com_Opname),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f1282,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnf_transformation,[status(esa)],[f478]) ).
fof(f1323,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(forward_demodulation,[status(thm)],[f1280,f1282]) ).
fof(f1470,plain,
! [X0] :
( ~ c_in(X0,v_U,tc_Com_Opname)
| c_in(hAPP(v_mgt__call,X0),v_G,t_a) ),
inference(paramodulation,[status(thm)],[f1280,f1270]) ).
fof(f1686,plain,
! [X0] :
( ~ c_lessequals(X0,v_U,tc_fun(tc_Com_Opname,tc_bool))
| c_lessequals(c_Set_Oimage(v_mgt__call,X0,tc_Com_Opname,t_a),v_G,tc_fun(t_a,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1280,f1143]) ).
fof(f1722,plain,
( spl0_36
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f1724,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool))
| spl0_36 ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1725,plain,
( spl0_37
<=> 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(f1728,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool))
| c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1244,f1686]) ).
fof(f1729,plain,
( ~ spl0_36
| spl0_37 ),
inference(split_clause,[status(thm)],[f1728,f1722,f1725]) ).
fof(f1730,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f1222]) ).
fof(f1731,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f1730]) ).
fof(f2220,plain,
( spl0_67
<=> c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
introduced(split_symbol_definition) ).
fof(f2222,plain,
( ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
| spl0_67 ),
inference(component_clause,[status(thm)],[f2220]) ).
fof(f2223,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(resolution,[status(thm)],[f1182,f1323]) ).
fof(f2224,plain,
( ~ spl0_37
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f2223,f1725,f2220]) ).
fof(f2266,plain,
hBOOL(hAPP(v_U,v_pn)),
inference(resolution,[status(thm)],[f1242,f1281]) ).
fof(f2279,plain,
! [X0] : c_in(v_pn,v_U,X0),
inference(resolution,[status(thm)],[f2266,f1240]) ).
fof(f2321,plain,
( ~ c_in(v_pn,v_U,tc_Com_Opname)
| spl0_67 ),
inference(resolution,[status(thm)],[f2222,f1470]) ).
fof(f2322,plain,
( $false
| spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f2279]) ).
fof(f2323,plain,
spl0_67,
inference(contradiction_clause,[status(thm)],[f2322]) ).
fof(f2324,plain,
$false,
inference(sat_refutation,[status(thm)],[f1729,f1731,f2224,f2323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV880-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.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 11:43:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % Drodi V3.5.1
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.67/0.66 % Elapsed time: 0.094793 seconds
% 0.67/0.66 % CPU time: 0.392400 seconds
% 0.67/0.66 % Memory used: 40.088 MB
%------------------------------------------------------------------------------