TSTP Solution File: SWW337+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW337+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:44:44 EDT 2023
% Result : Theorem 0.79s 1.02s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 14 ~; 10 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 28 (; 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f639,axiom,
! [V_c_2,V_B_2,V_A_2,T_b] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
=> hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5225,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5226,conjecture,
! [B_n] :
( ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
=> ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5227,negated_conjecture,
~ ! [B_n] :
( ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
=> ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ),
inference(negated_conjecture,[status(cth)],[f5226]) ).
fof(f7125,plain,
! [V_c_2,V_B_2,V_A_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
| ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
| hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ),
inference(pre_NNF_transformation,[status(esa)],[f639]) ).
fof(f7126,plain,
! [V_B_2,V_A_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
| ! [V_c_2] :
( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
| hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ),
inference(miniscoping,[status(esa)],[f7125]) ).
fof(f7127,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X3),X1))
| hBOOL(hAPP(hAPP(c_member(X0),X3),X2)) ),
inference(cnf_transformation,[status(esa)],[f7126]) ).
fof(f20136,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(cnf_transformation,[status(esa)],[f5225]) ).
fof(f20137,plain,
? [B_n] :
( ! [B_x] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
& ? [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5227]) ).
fof(f20138,plain,
( ! [B_x] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sk0_579,B_x) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_580),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sk0_579,sk0_580) ),
inference(skolemization,[status(esa)],[f20137]) ).
fof(f20139,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sk0_579,X0) ),
inference(cnf_transformation,[status(esa)],[f20138]) ).
fof(f20140,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_580),v_ts)),
inference(cnf_transformation,[status(esa)],[f20138]) ).
fof(f20141,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sk0_579,sk0_580),
inference(cnf_transformation,[status(esa)],[f20138]) ).
fof(f20924,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
inference(resolution,[status(thm)],[f7127,f20136]) ).
fof(f20925,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_580),v_G)),
inference(resolution,[status(thm)],[f20924,f20140]) ).
fof(f20927,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,sk0_579,sk0_580),
inference(resolution,[status(thm)],[f20925,f20139]) ).
fof(f20928,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20927,f20141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW337+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:13:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.70/0.88 % Drodi V3.5.1
% 0.79/1.02 % Refutation found
% 0.79/1.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.79/1.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.78/1.14 % Elapsed time: 0.814258 seconds
% 1.78/1.14 % CPU time: 1.520727 seconds
% 1.78/1.14 % Memory used: 592.230 MB
%------------------------------------------------------------------------------