TSTP Solution File: SWV857-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV857-1 : 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 : Tue Apr 30 20:49:27 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f524,axiom,
! [V_Q,V_x,V_P,T_a] :
( hBOOL(hAPP(V_Q,V_x))
| ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
| ~ hBOOL(hAPP(V_P,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f542,axiom,
! [T_a,V_x,V_S] :
( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f543,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f545,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f546,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f547,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f548,negated_conjecture,
! [V_xb] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1378,plain,
! [V_x,V_P] :
( ! [V_Q] :
( hBOOL(hAPP(V_Q,V_x))
| ! [T_a] : ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) )
| ~ hBOOL(hAPP(V_P,V_x)) ),
inference(miniscoping,[status(esa)],[f524]) ).
fof(f1379,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X0,X1))
| ~ c_lessequals(X2,X0,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f1378]) ).
fof(f1407,plain,
! [V_x,V_S] :
( ! [T_a] : hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f542]) ).
fof(f1408,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f1407]) ).
fof(f1409,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
inference(miniscoping,[status(esa)],[f543]) ).
fof(f1410,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0)) ),
inference(cnf_transformation,[status(esa)],[f1409]) ).
fof(f1413,plain,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(cnf_transformation,[status(esa)],[f545]) ).
fof(f1414,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f1415,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(cnf_transformation,[status(esa)],[f547]) ).
fof(f1416,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)) ),
inference(cnf_transformation,[status(esa)],[f548]) ).
fof(f1478,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[status(thm)],[f1410,f1414]) ).
fof(f1494,plain,
! [X0] :
( hBOOL(hAPP(v_Ga,X0))
| ~ hBOOL(hAPP(v_tsa,X0)) ),
inference(resolution,[status(thm)],[f1379,f1413]) ).
fof(f1495,plain,
hBOOL(hAPP(v_Ga,v_xa)),
inference(resolution,[status(thm)],[f1494,f1478]) ).
fof(f1498,plain,
! [X0] : hBOOL(hAPP(hAPP(c_in(X0),v_xa),v_Ga)),
inference(resolution,[status(thm)],[f1495,f1408]) ).
fof(f1499,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(resolution,[status(thm)],[f1498,f1416]) ).
fof(f1500,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1499,f1415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 Apr 30 01:23:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.38 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41 % Elapsed time: 0.058887 seconds
% 0.20/0.41 % CPU time: 0.087995 seconds
% 0.20/0.41 % Total memory used: 21.861 MB
% 0.20/0.41 % Net memory used: 21.818 MB
%------------------------------------------------------------------------------