TSTP Solution File: SWW317+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWW317+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 : 600s
% DateTime : Thu Jul 21 00:59:30 EDT 2022
% Result : Theorem 16.85s 17.03s
% Output : CNFRefutation 16.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 30 unt; 0 def)
% Number of atoms : 65 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 74 ( 4 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_hoare__derivs_OSkip,axiom,
! [V_P_2,V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
fof(fact_singleton__conv2,axiom,
! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
fof(fact_Collect__def,axiom,
! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
fof(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
fof(subgoal_0,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(strip,[],[conj_1]) ).
fof(negate_0_0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [T_b,V_a_2] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),
inference(canonicalize,[],[fact_singleton__conv2]) ).
fof(normalize_0_2,plain,
! [T_b,V_a_2] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [T_b,V_P_2] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2,
inference(canonicalize,[],[fact_Collect__def]) ).
fof(normalize_0_4,plain,
! [T_b,V_P_2] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2,
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [T_b,V_G_2,V_P_2] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
inference(canonicalize,[],[fact_hoare__derivs_OSkip]) ).
fof(normalize_0_6,plain,
! [T_b,V_G_2,V_P_2] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2,
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(c_fequal,V_a_2),
inference(subst,[],[refute_0_2:[bind(V_P_2,$fot(hAPP(c_fequal,V_a_2)))]]) ).
cnf(refute_0_4,plain,
( hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) != hAPP(c_fequal,V_a_2)
| hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
| hAPP(c_fequal,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ),[0],$fot(hAPP(c_fequal,V_a_2))]]) ).
cnf(refute_0_5,plain,
( hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
| hAPP(c_fequal,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ),
inference(resolve,[$cnf( $equal(hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)),hAPP(c_fequal,V_a_2)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
hAPP(c_fequal,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),
inference(resolve,[$cnf( $equal(hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( hAPP(c_fequal,V_a_2) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
| hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_fequal,V_a_2) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(hAPP(c_fequal,V_a_2))),bind(Y,$fot(hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))]]) ).
cnf(refute_0_11,plain,
hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_fequal,V_a_2),
inference(resolve,[$cnf( $equal(hAPP(c_fequal,V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))) = hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),
inference(subst,[],[refute_0_11:[bind(T_b,$fot(tc_Hoare__Mirabelle_Otriple(t_a))),bind(V_a_2,$fot(c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)))]]) ).
cnf(refute_0_13,plain,
( hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))) != hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
introduced(tautology,[equality,[$cnf( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),[2],$fot(hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)))]]) ).
cnf(refute_0_14,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(resolve,[$cnf( $equal(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))),
inference(resolve,[$cnf( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_17,plain,
hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) = hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),
inference(subst,[],[refute_0_2:[bind(T_b,$fot(tc_Hoare__Mirabelle_Otriple(T_b))),bind(V_P_2,$fot(hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))))]]) ).
cnf(refute_0_18,plain,
( hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
| hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)))),bind(Y,$fot(hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))]]) ).
cnf(refute_0_19,plain,
hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)),
inference(resolve,[$cnf( $equal(hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) )],[refute_0_1,refute_0_18]) ).
cnf(refute_0_20,plain,
hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) = hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))),
inference(subst,[],[refute_0_19:[bind(T_b,$fot(tc_Hoare__Mirabelle_Otriple(T_b))),bind(V_a_2,$fot(c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)))]]) ).
cnf(refute_0_21,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_22,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_21]) ).
cnf(refute_0_23,plain,
( hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) != hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))
| hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) != hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)))
| hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) = hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))),bind(Y,$fot(hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))))),bind(Z,$fot(hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))))]]) ).
cnf(refute_0_24,plain,
( hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) != hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))
| hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) = hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)) ),
inference(resolve,[$cnf( $equal(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) = hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),
inference(resolve,[$cnf( $equal(hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) )],[refute_0_17,refute_0_24]) ).
cnf(refute_0_26,plain,
( hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) != hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) ),
introduced(tautology,[equality,[$cnf( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ),[2],$fot(hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)))]]) ).
cnf(refute_0_27,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) ),
inference(resolve,[$cnf( $equal(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2))),
inference(resolve,[$cnf( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )],[refute_0_16,refute_0_27]) ).
cnf(refute_0_29,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))),
inference(subst,[],[refute_0_28:[bind(T_b,$fot(t_a)),bind(V_G_2,$fot(v_Ga)),bind(V_P_2,$fot(v_P))]]) ).
cnf(refute_0_30,plain,
$false,
inference(resolve,[$cnf( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))) )],[refute_0_29,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW317+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n027.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 : 600
% 0.14/0.35 % DateTime : Sun Jun 5 12:57:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 16.85/17.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.85/17.03
% 16.85/17.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.85/17.04
%------------------------------------------------------------------------------