TSTP Solution File: SWW298+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:49:59 EDT 2024
% Result : Theorem 1.89s 1.13s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 4 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [V_t,V_n,T_a] :
( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
=> c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5224,hypothesis,
! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),B_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5225,conjecture,
! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5226,negated_conjecture,
~ ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ),
inference(negated_conjecture,[status(cth)],[f5225]) ).
fof(f5230,plain,
! [V_t,V_n,T_a] :
( ~ c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
| c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f5231,plain,
! [X0,X1,X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(c_Nat_OSuc,X1),X2)
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5230]) ).
fof(f20179,plain,
! [B_x] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),B_x) ),
inference(pre_NNF_transformation,[status(esa)],[f5224]) ).
fof(f20180,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X0) ),
inference(cnf_transformation,[status(esa)],[f20179]) ).
fof(f20181,plain,
? [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ),
inference(pre_NNF_transformation,[status(esa)],[f5226]) ).
fof(f20182,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_557),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sk0_557) ),
inference(skolemization,[status(esa)],[f20181]) ).
fof(f20183,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_557),v_ts)),
inference(cnf_transformation,[status(esa)],[f20182]) ).
fof(f20184,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sk0_557),
inference(cnf_transformation,[status(esa)],[f20182]) ).
fof(f20968,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),sk0_557),
inference(resolution,[status(thm)],[f20180,f20183]) ).
fof(f20970,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sk0_557),
inference(resolution,[status(thm)],[f20968,f5231]) ).
fof(f20971,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20970,f20184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n014.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 : Mon Apr 29 22:58:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.70/0.89 % Drodi V3.6.0
% 1.89/1.13 % Refutation found
% 1.89/1.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.89/1.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.89/1.15 % Elapsed time: 0.786929 seconds
% 1.89/1.15 % CPU time: 2.053780 seconds
% 1.89/1.15 % Total memory used: 627.429 MB
% 1.89/1.15 % Net memory used: 624.350 MB
%------------------------------------------------------------------------------