TSTP Solution File: SWV911-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:44:12 EDT 2023
% Result : Unsatisfiable 0.06s 0.29s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 19 (; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f528,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f529,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f530,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f531,negated_conjecture,
! [V_xc,V_xd] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(V_xc,V_xd)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f532,negated_conjecture,
! [V_xc,V_xd] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(V_xc,V_xd)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f533,negated_conjecture,
! [V_xd,V_Z_H,V_xc] :
( hBOOL(hAPP(hAPP(V_xd,V_Z_H),v_xb(V_xc,V_xd)))
| ~ hBOOL(hAPP(hAPP(V_xc,V_Z_H),v_xa))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1363,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[status(esa)],[f528]) ).
fof(f1364,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[status(esa)],[f529]) ).
fof(f1365,plain,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f1366,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f1367,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(esa)],[f532]) ).
fof(f1368,plain,
! [V_xd,V_xc] :
( ! [V_Z_H] :
( hBOOL(hAPP(hAPP(V_xd,V_Z_H),v_xb(V_xc,V_xd)))
| ~ hBOOL(hAPP(hAPP(V_xc,V_Z_H),v_xa)) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(miniscoping,[status(esa)],[f533]) ).
fof(f1369,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(X0,X1),v_xb(X2,X0)))
| ~ hBOOL(hAPP(hAPP(X2,X1),v_xa))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(esa)],[f1368]) ).
fof(f1413,plain,
( spl0_0
<=> hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
introduced(split_symbol_definition) ).
fof(f1414,plain,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f1413]) ).
fof(f1416,plain,
( spl0_1
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(split_symbol_definition) ).
fof(f1417,plain,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f1365,f1413,f1416]) ).
fof(f1421,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(resolution,[status(thm)],[f1366,f1363]) ).
fof(f1422,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(resolution,[status(thm)],[f1367,f1364]) ).
fof(f1456,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa)) ),
inference(resolution,[status(thm)],[f1369,f1364]) ).
fof(f1457,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) ),
inference(resolution,[status(thm)],[f1369,f1363]) ).
fof(f1468,plain,
~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(resolution,[status(thm)],[f1456,f1422]) ).
fof(f1469,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1468,f1414]) ).
fof(f1470,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f1469]) ).
fof(f1471,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(resolution,[status(thm)],[f1457,f1421]) ).
fof(f1472,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1471,f1417]) ).
fof(f1473,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f1472]) ).
fof(f1474,plain,
$false,
inference(sat_refutation,[status(thm)],[f1419,f1470,f1473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n016.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 12:04:44 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.28 % Drodi V3.5.1
% 0.06/0.29 % Refutation found
% 0.06/0.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.30 % Elapsed time: 0.034159 seconds
% 0.06/0.30 % CPU time: 0.055872 seconds
% 0.06/0.30 % Memory used: 21.338 MB
%------------------------------------------------------------------------------