TSTP Solution File: SWW470+7 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW470+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 01:28:33 EDT 2022
% Result : Theorem 47.01s 47.27s
% Output : Refutation 48.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of clauses : 60 ( 35 unt; 16 nHn; 60 RR)
% Number of literals : 100 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 24 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(82,axiom,
~ hBOOL(fFalse),
file('SWW470+7.p',unknown),
[] ).
cnf(84,axiom,
equal(ti(bool,fFalse),fFalse),
file('SWW470+7.p',unknown),
[] ).
cnf(89,axiom,
( ~ hBOOL(ti(bool,u))
| hBOOL(u) ),
file('SWW470+7.p',unknown),
[] ).
cnf(90,axiom,
( ~ hBOOL(u)
| hBOOL(ti(bool,u)) ),
file('SWW470+7.p',unknown),
[] ).
cnf(101,axiom,
( hBOOL(u)
| hBOOL(hAPP(bool,bool,fNot,u)) ),
file('SWW470+7.p',unknown),
[] ).
cnf(117,axiom,
( ~ hBOOL(u)
| ~ hBOOL(hAPP(bool,bool,fNot,u)) ),
file('SWW470+7.p',unknown),
[] ).
cnf(119,axiom,
( equal(ti(bool,u),fFalse)
| equal(ti(bool,u),fTrue) ),
file('SWW470+7.p',unknown),
[] ).
cnf(148,axiom,
equal(hAPP(u,v,w,ti(u,x)),hAPP(u,v,w,x)),
file('SWW470+7.p',unknown),
[] ).
cnf(149,axiom,
equal(ti(u,hAPP(v,u,w,x)),hAPP(v,u,w,x)),
file('SWW470+7.p',unknown),
[] ).
cnf(186,axiom,
equal(hAPP(u,v,ti(fun(u,v),w),x),hAPP(u,v,w,x)),
file('SWW470+7.p',unknown),
[] ).
cnf(211,axiom,
equal(hAPP(fun(u,bool),fun(u,bool),collect(u),v),ti(fun(u,bool),v)),
file('SWW470+7.p',unknown),
[] ).
cnf(237,axiom,
equal(hAPP(u,v,hAPP(v,fun(u,v),combk(v,u),w),x),ti(v,w)),
file('SWW470+7.p',unknown),
[] ).
cnf(312,axiom,
equal(hAPP(fun(u,bool),fun(u,bool),collect(u),hAPP(bool,fun(u,bool),combk(bool,u),fFalse)),bot_bot(fun(u,bool))),
file('SWW470+7.p',unknown),
[] ).
cnf(376,axiom,
hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),v),bot_bot(fun(hoare_2118899576triple(u),bool)))),
file('SWW470+7.p',unknown),
[] ).
cnf(755,axiom,
equal(hAPP(fun(u,bool),fun(u,bool),hAPP(u,fun(fun(u,bool),fun(u,bool)),insert(u),v),bot_bot(fun(u,bool))),hAPP(fun(u,bool),fun(u,bool),collect(u),hAPP(u,fun(u,bool),fequal(u),v))),
file('SWW470+7.p',unknown),
[] ).
cnf(978,axiom,
equal(hAPP(fun(u,bool),fun(u,bool),collect(u),hAPP(fun(u,bool),fun(u,bool),hAPP(fun(bool,bool),fun(fun(u,bool),fun(u,bool)),combb(bool,bool,u),fNot),v)),hAPP(fun(u,bool),fun(u,bool),uminus_uminus(fun(u,bool)),hAPP(fun(u,bool),fun(u,bool),collect(u),v))),
file('SWW470+7.p',unknown),
[] ).
cnf(1178,axiom,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),v),w))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),x),v))
| hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),x),w)) ),
file('SWW470+7.p',unknown),
[] ).
cnf(1192,axiom,
( ~ hBOOL(hAPP(fun(u,bool),bool,v,hAPP(fun(u,bool),fun(u,bool),hAPP(u,fun(fun(u,bool),fun(u,bool)),insert(u),skf246(v,u)),bot_bot(fun(u,bool)))))
| ~ hBOOL(hAPP(fun(u,bool),bool,finite_finite_1(u),w))
| hBOOL(hAPP(fun(u,bool),bool,v,skf247(v,u)))
| hBOOL(hAPP(fun(u,bool),bool,v,w))
| equal(ti(fun(u,bool),w),bot_bot(fun(u,bool))) ),
file('SWW470+7.p',unknown),
[] ).
cnf(1450,axiom,
( hBOOL(hAPP(state,bool,hAPP(u,fun(state,bool),v,skf216(v,u,w,x,y)),skf215(v,u,w,x,y)))
| hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),z),hAPP(fun(hoare_2118899576triple(u),bool),fun(hoare_2118899576triple(u),bool),hAPP(hoare_2118899576triple(u),fun(fun(hoare_2118899576triple(u),bool),fun(hoare_2118899576triple(u),bool)),insert(hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),hoare_2118899576triple(u),hAPP(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),fun(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u))),hoare_759811442triple(u),v),x1),x2)),bot_bot(fun(hoare_2118899576triple(u),bool))))) ),
file('SWW470+7.p',unknown),
[] ).
cnf(1451,axiom,
( hBOOL(hAPP(state,bool,hAPP(u,fun(state,bool),v,skf192(v,u,w,x,y)),skf191(v,u,w,x,y)))
| hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),z),hAPP(fun(hoare_2118899576triple(u),bool),fun(hoare_2118899576triple(u),bool),hAPP(hoare_2118899576triple(u),fun(fun(hoare_2118899576triple(u),bool),fun(hoare_2118899576triple(u),bool)),insert(hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),hoare_2118899576triple(u),hAPP(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),fun(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u))),hoare_759811442triple(u),v),x1),x2)),bot_bot(fun(hoare_2118899576triple(u),bool))))) ),
file('SWW470+7.p',unknown),
[] ).
cnf(1585,axiom,
hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),v),hAPP(fun(hoare_2118899576triple(u),bool),fun(hoare_2118899576triple(u),bool),hAPP(hoare_2118899576triple(u),fun(fun(hoare_2118899576triple(u),bool),fun(hoare_2118899576triple(u),bool)),insert(hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),hoare_2118899576triple(u),hAPP(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),fun(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u))),hoare_759811442triple(u),hAPP(fun(state,state),fun(u,fun(state,bool)),hAPP(fun(u,fun(fun(state,state),fun(state,bool))),fun(fun(state,state),fun(u,fun(state,bool))),combc(u,fun(state,state),fun(state,bool)),hAPP(fun(u,fun(state,bool)),fun(u,fun(fun(state,state),fun(state,bool))),hAPP(fun(fun(state,bool),fun(fun(state,state),fun(state,bool))),fun(fun(u,fun(state,bool)),fun(u,fun(fun(state,state),fun(state,bool)))),combb(fun(state,bool),fun(fun(state,state),fun(state,bool)),u),combb(state,bool,state)),w)),hAPP(fun(state,nat),fun(state,state),hAPP(fun(state,fun(nat,state)),fun(fun(state,nat),fun(state,state)),combs(state,nat,state),hAPP(vname,fun(state,fun(nat,state)),hAPP(fun(state,fun(vname,fun(nat,state))),fun(vname,fun(state,fun(nat,state))),combc(state,vname,fun(nat,state)),update),x)),y))),hAPP(fun(state,nat),com,hAPP(vname,fun(fun(state,nat),com),ass,x),y)),w)),bot_bot(fun(hoare_2118899576triple(u),bool))))),
file('SWW470+7.p',unknown),
[] ).
cnf(1590,axiom,
~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool),hAPP(hoare_2118899576triple(x_a),fun(fun(hoare_2118899576triple(x_a),bool),fun(hoare_2118899576triple(x_a),bool)),insert(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))))),
file('SWW470+7.p',unknown),
[] ).
cnf(1603,plain,
equal(hAPP(bool,fun(u,bool),combk(bool,u),fFalse),bot_bot(fun(u,bool))),
inference(rew,[status(thm),theory(equality)],[149,312,211]),
[iquote('0:Rew:149.0,312.0,211.0,312.0')] ).
cnf(1622,plain,
equal(hAPP(fun(u,bool),fun(u,bool),hAPP(u,fun(fun(u,bool),fun(u,bool)),insert(u),v),bot_bot(fun(u,bool))),hAPP(u,fun(u,bool),fequal(u),v)),
inference(rew,[status(thm),theory(equality)],[149,755,211]),
[iquote('0:Rew:149.0,755.0,211.0,755.0')] ).
cnf(1647,plain,
equal(hAPP(fun(u,bool),fun(u,bool),hAPP(fun(bool,bool),fun(fun(u,bool),fun(u,bool)),combb(bool,bool,u),fNot),v),hAPP(fun(u,bool),fun(u,bool),uminus_uminus(fun(u,bool)),v)),
inference(rew,[status(thm),theory(equality)],[149,978,211,148]),
[iquote('0:Rew:149.0,978.0,211.0,978.0,148.0,978.0,211.0,978.0')] ).
cnf(1672,plain,
( ~ hBOOL(hAPP(fun(u,bool),bool,v,hAPP(u,fun(u,bool),fequal(u),skf246(v,u))))
| ~ hBOOL(hAPP(fun(u,bool),bool,finite_finite_1(u),w))
| hBOOL(hAPP(fun(u,bool),bool,v,w))
| hBOOL(hAPP(fun(u,bool),bool,v,skf247(v,u)))
| equal(ti(fun(u,bool),w),bot_bot(fun(u,bool))) ),
inference(rew,[status(thm),theory(equality)],[1622,1192]),
[iquote('0:Rew:1622.0,1192.0')] ).
cnf(1761,plain,
( hBOOL(hAPP(state,bool,hAPP(u,fun(state,bool),v,skf216(v,u,w,x,y)),skf215(v,u,w,x,y)))
| hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),z),hAPP(hoare_2118899576triple(u),fun(hoare_2118899576triple(u),bool),fequal(hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),hoare_2118899576triple(u),hAPP(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),fun(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u))),hoare_759811442triple(u),v),x1),x2)))) ),
inference(rew,[status(thm),theory(equality)],[1622,1450]),
[iquote('0:Rew:1622.0,1450.1')] ).
cnf(1762,plain,
( hBOOL(hAPP(state,bool,hAPP(u,fun(state,bool),v,skf192(v,u,w,x,y)),skf191(v,u,w,x,y)))
| hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),z),hAPP(hoare_2118899576triple(u),fun(hoare_2118899576triple(u),bool),fequal(hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),hoare_2118899576triple(u),hAPP(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),fun(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u))),hoare_759811442triple(u),v),x1),x2)))) ),
inference(rew,[status(thm),theory(equality)],[1622,1451]),
[iquote('0:Rew:1622.0,1451.1')] ).
cnf(1862,plain,
hBOOL(hAPP(fun(hoare_2118899576triple(u),bool),bool,hAPP(fun(hoare_2118899576triple(u),bool),fun(fun(hoare_2118899576triple(u),bool),bool),hoare_1301688828derivs(u),v),hAPP(hoare_2118899576triple(u),fun(hoare_2118899576triple(u),bool),fequal(hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),hoare_2118899576triple(u),hAPP(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u)),hAPP(fun(u,fun(state,bool)),fun(com,fun(fun(u,fun(state,bool)),hoare_2118899576triple(u))),hoare_759811442triple(u),hAPP(fun(state,state),fun(u,fun(state,bool)),hAPP(fun(u,fun(fun(state,state),fun(state,bool))),fun(fun(state,state),fun(u,fun(state,bool))),combc(u,fun(state,state),fun(state,bool)),hAPP(fun(u,fun(state,bool)),fun(u,fun(fun(state,state),fun(state,bool))),hAPP(fun(fun(state,bool),fun(fun(state,state),fun(state,bool))),fun(fun(u,fun(state,bool)),fun(u,fun(fun(state,state),fun(state,bool)))),combb(fun(state,bool),fun(fun(state,state),fun(state,bool)),u),combb(state,bool,state)),w)),hAPP(fun(state,nat),fun(state,state),hAPP(fun(state,fun(nat,state)),fun(fun(state,nat),fun(state,state)),combs(state,nat,state),hAPP(vname,fun(state,fun(nat,state)),hAPP(fun(state,fun(vname,fun(nat,state))),fun(vname,fun(state,fun(nat,state))),combc(state,vname,fun(nat,state)),update),x)),y))),hAPP(fun(state,nat),com,hAPP(vname,fun(fun(state,nat),com),ass,x),y)),w)))),
inference(rew,[status(thm),theory(equality)],[1622,1585]),
[iquote('0:Rew:1622.0,1585.0')] ).
cnf(1864,plain,
~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b)))))),
inference(rew,[status(thm),theory(equality)],[1622,1590,1603,1647]),
[iquote('0:Rew:1622.0,1590.0,1603.0,1590.0,1647.0,1590.0')] ).
cnf(1886,plain,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),skf246(hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hoare_2118899576triple(x_a)))))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,finite_finite_1(hoare_2118899576triple(x_a)),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b))))))
| hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),skf247(hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hoare_2118899576triple(x_a))))
| equal(ti(fun(hoare_2118899576triple(x_a),bool),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b))))),bot_bot(fun(hoare_2118899576triple(x_a),bool))) ),
inference(res,[status(thm),theory(equality)],[1672,1864]),
[iquote('0:Res:1672.3,1864.0')] ).
cnf(1904,plain,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),u),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b))))))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),u)) ),
inference(res,[status(thm),theory(equality)],[1178,1864]),
[iquote('0:Res:1178.2,1864.0')] ).
cnf(1911,plain,
hBOOL(hAPP(state,bool,hAPP(x_a,fun(state,bool),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),skf192(hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),x_a,u,v,w)),skf191(hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),x_a,u,v,w))),
inference(res,[status(thm),theory(equality)],[1762,1864]),
[iquote('0:Res:1762.1,1864.0')] ).
cnf(1912,plain,
hBOOL(hAPP(state,bool,hAPP(x_a,fun(state,bool),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),skf216(hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),x_a,u,v,w)),skf215(hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),x_a,u,v,w))),
inference(res,[status(thm),theory(equality)],[1761,1864]),
[iquote('0:Res:1761.1,1864.0')] ).
cnf(1922,plain,
hBOOL(hAPP(state,bool,bot_bot(fun(state,bool)),skf215(hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),x_a,u,v,w))),
inference(rew,[status(thm),theory(equality)],[186,1912,237]),
[iquote('0:Rew:186.0,1912.0,237.0,1912.0')] ).
cnf(1923,plain,
hBOOL(hAPP(state,bool,bot_bot(fun(state,bool)),skf191(hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool))),x_a,u,v,w))),
inference(rew,[status(thm),theory(equality)],[186,1911,237]),
[iquote('0:Rew:186.0,1911.0,237.0,1911.0')] ).
cnf(1937,plain,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,finite_finite_1(hoare_2118899576triple(x_a)),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b))))))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),skf246(hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hoare_2118899576triple(x_a)))))
| hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),skf247(hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hoare_2118899576triple(x_a))))
| equal(hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))) ),
inference(rew,[status(thm),theory(equality)],[149,1886]),
[iquote('0:Rew:149.0,1886.3')] ).
cnf(1943,plain,
equal(hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))),
inference(spt,[spt(split,[position(s1)])],[1937]),
[iquote('1:Spt:1937.3')] ).
cnf(1954,plain,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),u),bot_bot(fun(hoare_2118899576triple(x_a),bool))))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),u)) ),
inference(rew,[status(thm),theory(equality)],[1943,1904]),
[iquote('1:Rew:1943.0,1904.0')] ).
cnf(1958,plain,
~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),u)),
inference(mrr,[status(thm)],[1954,376]),
[iquote('1:MRR:1954.0,376.0')] ).
cnf(1959,plain,
$false,
inference(unc,[status(thm)],[1958,1862]),
[iquote('1:UnC:1958.0,1862.0')] ).
cnf(1970,plain,
~ equal(hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b)))),bot_bot(fun(hoare_2118899576triple(x_a),bool))),
inference(spt,[spt(split,[position(sa)])],[1959,1943]),
[iquote('1:Spt:1959.0,1937.3,1943.0')] ).
cnf(1971,plain,
( ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,finite_finite_1(hoare_2118899576triple(x_a)),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_2118899576triple(x_a))),hoare_759811442triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),uminus_uminus(fun(state,bool)),b))))))
| ~ hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hAPP(hoare_2118899576triple(x_a),fun(hoare_2118899576triple(x_a),bool),fequal(hoare_2118899576triple(x_a)),skf246(hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hoare_2118899576triple(x_a)))))
| hBOOL(hAPP(fun(hoare_2118899576triple(x_a),bool),bool,hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),skf247(hAPP(fun(hoare_2118899576triple(x_a),bool),fun(fun(hoare_2118899576triple(x_a),bool),bool),hoare_1301688828derivs(x_a),g),hoare_2118899576triple(x_a)))) ),
inference(spt,[spt(split,[position(s2)])],[1937]),
[iquote('1:Spt:1959.0,1937.0,1937.1,1937.2')] ).
cnf(2018,plain,
( ~ hBOOL(u)
| equal(ti(bool,u),fFalse)
| hBOOL(fTrue) ),
inference(spr,[status(thm),theory(equality)],[119,90]),
[iquote('0:SpR:119.1,90.1')] ).
cnf(2023,plain,
( ~ hBOOL(fTrue)
| equal(ti(bool,u),fFalse)
| hBOOL(u) ),
inference(spl,[status(thm),theory(equality)],[119,89]),
[iquote('0:SpL:119.1,89.0')] ).
cnf(2046,plain,
( ~ hBOOL(u)
| equal(ti(bool,u),fFalse) ),
inference(spt,[spt(split,[position(s2s1)])],[2018]),
[iquote('2:Spt:2018.0,2018.1')] ).
cnf(2048,plain,
( ~ hBOOL(u)
| hBOOL(fFalse) ),
inference(rew,[status(thm),theory(equality)],[2046,90]),
[iquote('2:Rew:2046.1,90.1')] ).
cnf(2049,plain,
~ hBOOL(u),
inference(mrr,[status(thm)],[2048,82]),
[iquote('2:MRR:2048.1,82.0')] ).
cnf(2050,plain,
$false,
inference(unc,[status(thm)],[2049,1922]),
[iquote('2:UnC:2049.0,1922.0')] ).
cnf(2051,plain,
hBOOL(fTrue),
inference(spt,[spt(split,[position(s2s2)])],[2018]),
[iquote('2:Spt:2050.0,2018.2')] ).
cnf(2052,plain,
( equal(ti(bool,u),fFalse)
| hBOOL(u) ),
inference(mrr,[status(thm)],[2023,2051]),
[iquote('2:MRR:2023.0,2051.0')] ).
cnf(2202,plain,
( hBOOL(u)
| equal(hAPP(bool,v,w,fFalse),hAPP(bool,v,w,u)) ),
inference(spr,[status(thm),theory(equality)],[2052,148]),
[iquote('2:SpR:2052.0,148.0')] ).
cnf(2299,plain,
( hBOOL(u)
| hBOOL(u)
| hBOOL(hAPP(bool,bool,fNot,fFalse)) ),
inference(spr,[status(thm),theory(equality)],[2202,101]),
[iquote('2:SpR:2202.1,101.1')] ).
cnf(2311,plain,
( hBOOL(u)
| hBOOL(hAPP(bool,bool,fNot,fFalse)) ),
inference(obv,[status(thm),theory(equality)],[2299]),
[iquote('2:Obv:2299.0')] ).
cnf(2312,plain,
hBOOL(hAPP(bool,bool,fNot,fFalse)),
inference(con,[status(thm)],[2311]),
[iquote('2:Con:2311.0')] ).
cnf(2319,plain,
~ hBOOL(fFalse),
inference(res,[status(thm),theory(equality)],[2312,117]),
[iquote('2:Res:2312.0,117.1')] ).
cnf(22216,plain,
equal(hAPP(u,bool,bot_bot(fun(u,bool)),v),ti(bool,fFalse)),
inference(spr,[status(thm),theory(equality)],[1603,237]),
[iquote('0:SpR:1603.0,237.0')] ).
cnf(22230,plain,
equal(hAPP(u,bool,bot_bot(fun(u,bool)),v),fFalse),
inference(rew,[status(thm),theory(equality)],[84,22216]),
[iquote('0:Rew:84.0,22216.0')] ).
cnf(22236,plain,
hBOOL(fFalse),
inference(rew,[status(thm),theory(equality)],[22230,1923]),
[iquote('0:Rew:22230.0,1923.0')] ).
cnf(22238,plain,
$false,
inference(mrr,[status(thm)],[22236,2319]),
[iquote('2:MRR:22236.0,2319.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW470+7 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.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 : 600
% 0.13/0.34 % DateTime : Sat Jun 4 18:19:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 47.01/47.27
% 47.01/47.27 SPASS V 3.9
% 47.01/47.27 SPASS beiseite: Proof found.
% 47.01/47.27 % SZS status Theorem
% 47.01/47.27 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.01/47.27 SPASS derived 14878 clauses, backtracked 4679 clauses, performed 8 splits and kept 7619 clauses.
% 47.01/47.27 SPASS allocated 185187 KBytes.
% 47.01/47.27 SPASS spent 0:0:46.89 on the problem.
% 47.01/47.27 0:00:00.09 for the input.
% 47.01/47.27 0:0:21.27 for the FLOTTER CNF translation.
% 47.01/47.27 0:00:00.22 for inferences.
% 47.01/47.27 0:00:00.26 for the backtracking.
% 47.01/47.27 0:0:22.76 for the reduction.
% 47.01/47.27
% 47.01/47.27
% 47.01/47.27 Here is a proof with depth 4, length 60 :
% 47.01/47.27 % SZS output start Refutation
% See solution above
% 48.24/48.50 Formulae used in the proof : help_fFalse_1_1_U tsy_c_fFalse_res tsy_c_hBOOL_arg1 help_fNot_2_1_U help_fNot_1_1_U help_fFalse_1_1_T tsy_c_hAPP_arg2 tsy_c_hAPP_res tsy_c_hAPP_arg1 fact_77_Collect__def help_COMBK_1_1_U fact_23_empty__def fact_0_empty fact_12_singleton__conv2 fact_521_Collect__neg__eq fact_2_cut fact_120_finite__ne__induct fact_98_finite_OemptyI fact_51_conseq fact_5_escape fact_60_Ass conj_0
% 48.24/48.50
%------------------------------------------------------------------------------