TSTP Solution File: SWW315+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW315+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:44:41 EDT 2023
% Result : Theorem 0.68s 1.02s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 3 =>; 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [V_G_2,V_tsa_2,T_b] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2))
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5227,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5229,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5230,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5231,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negated_conjecture,[status(cth)],[f5230]) ).
fof(f5235,plain,
! [V_G_2,V_tsa_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2))
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f5236,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f5235]) ).
fof(f5240,plain,
! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f5241,plain,
! [V_tsa_2,V_G_Ha_2,T_b] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
| ! [V_G_2] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
inference(miniscoping,[status(esa)],[f5240]) ).
fof(f5242,plain,
! [X0,X1,X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f5241]) ).
fof(f20154,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
inference(cnf_transformation,[status(esa)],[f5227]) ).
fof(f20156,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
inference(cnf_transformation,[status(esa)],[f5229]) ).
fof(f20157,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf_transformation,[status(esa)],[f5231]) ).
fof(f20939,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,X0)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0) ),
inference(resolution,[status(thm)],[f5242,f20156]) ).
fof(f20940,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,v_ts),
inference(resolution,[status(thm)],[f5236,f20154]) ).
fof(f20941,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(resolution,[status(thm)],[f20940,f20939]) ).
fof(f20942,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20941,f20157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW315+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:58:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.59/0.79 % Drodi V3.5.1
% 0.68/1.02 % Refutation found
% 0.68/1.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.68/1.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.68/1.02 % Elapsed time: 0.665808 seconds
% 0.68/1.02 % CPU time: 1.663921 seconds
% 0.68/1.02 % Memory used: 594.155 MB
%------------------------------------------------------------------------------