TSTP Solution File: SWW473+6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW473+6 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 Aug 22 11:07:26 EDT 2023
% Result : Theorem 186.45s 136.46s
% Output : CNFRefutation 186.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 172
% Syntax : Number of formulae : 200 ( 18 unt; 162 typ; 0 def)
% Number of atoms : 64 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 20 ~; 22 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 370 ( 141 >; 229 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-2 aty)
% Number of functors : 135 ( 135 usr; 21 con; 0-7 aty)
% Number of variables : 41 (; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ zero_neq_one > zero > preorder > ordered_ab_group_add > ordere779506340up_add > ordere236663937imp_le > ordere223160158up_add > ordere216010020id_add > order > ord > one > monoid_add > minus > linordered_semidom > linordered_idom > linorder > linord219039673up_add > hBOOL > group_add > finite_finite_1 > dense_linorder > comm_monoid_add > cancel_semigroup_add > cancel146912293up_add > bot > ab_semigroup_add > ab_group_add > hAPP > combs > combc > combb > ti > sum_sum > sum_Plus > image > fun > finite_comp_fun_idem > finite1357897459simple > combk > #nlpp > zero_zero > undefined > the_elem > the_1 > the > plus_plus > partial_flat_lub > ord_less_eq > ord_less > option > one_one > nat_case > minus_minus > member > insert > finite_folding_one > finite_finite > finite_card > finite2073411215e_idem > fequal > combi > collect > bot_bot > x_a > wt > u > suc > pname > pn > p > nat > na > mgt_call > mgt > g > fimplies > fdisj > fconj > fTrue > fNot > fFalse > com > bool > body > #skF_32 > #skF_47 > #skF_49 > #skF_64 > #skF_38 > #skF_75 > #skF_31 > #skF_65 > #skF_34 > #skF_57 > #skF_62 > #skF_63 > #skF_56 > #skF_26 > #skF_44 > #skF_53 > #skF_40 > #skF_17 > #skF_45 > #skF_22 > #skF_60 > #skF_78 > #skF_4 > #skF_39 > #skF_20 > #skF_14 > #skF_15 > #skF_12 > #skF_8 > #skF_70 > #skF_30 > #skF_11 > #skF_48 > #skF_18 > #skF_23 > #skF_19 > #skF_67 > #skF_7 > #skF_2 > #skF_68 > #skF_54 > #skF_58 > #skF_66 > #skF_6 > #skF_37 > #skF_71 > #skF_51 > #skF_29 > #skF_77 > #skF_74 > #skF_28 > #skF_1 > #skF_43 > #skF_24 > #skF_13 > #skF_55 > #skF_52 > #skF_50 > #skF_73 > #skF_25 > #skF_59 > #skF_76 > #skF_9 > #skF_21 > #skF_79 > #skF_3 > #skF_33 > #skF_36 > #skF_41 > #skF_35 > #skF_27 > #skF_46 > #skF_61 > #skF_16 > #skF_72 > #skF_5 > #skF_42 > #skF_69 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fconj,type,
fconj: $i ).
tff(hAPP,type,
hAPP: ( $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff(partial_flat_lub,type,
partial_flat_lub: $i > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i ) > $i ).
tff(minus,type,
minus: $i > $o ).
tff(ord_less_eq,type,
ord_less_eq: $i > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i ) > $i ).
tff('#skF_75',type,
'#skF_75': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(suc,type,
suc: $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i * $i ) > $i ).
tff(group_add,type,
group_add: $i > $o ).
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i ) > $i ).
tff(bot_bot,type,
bot_bot: $i > $i ).
tff(one_one,type,
one_one: $i > $i ).
tff(combk,type,
combk: ( $i * $i ) > $i ).
tff(combs,type,
combs: ( $i * $i * $i ) > $i ).
tff(monoid_add,type,
monoid_add: $i > $o ).
tff(the_elem,type,
the_elem: $i > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff(linordered_semidom,type,
linordered_semidom: $i > $o ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff(ab_semigroup_add,type,
ab_semigroup_add: $i > $o ).
tff(member,type,
member: $i > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff(combb,type,
combb: ( $i * $i * $i ) > $i ).
tff(mgt,type,
mgt: $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff(sum_Plus,type,
sum_Plus: ( $i * $i ) > $i ).
tff(fimplies,type,
fimplies: $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i ) > $i ).
tff(ord,type,
ord: $i > $o ).
tff(zero_neq_one,type,
zero_neq_one: $i > $o ).
tff('#skF_60',type,
'#skF_60': ( $i * $i ) > $i ).
tff(fNot,type,
fNot: $i ).
tff(sum_sum,type,
sum_sum: ( $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(u,type,
u: $i ).
tff(bool,type,
bool: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(collect,type,
collect: $i > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff(com,type,
com: $i ).
tff(linord219039673up_add,type,
linord219039673up_add: $i > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(nat,type,
nat: $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff(fun,type,
fun: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i ) > $i ).
tff(ordere779506340up_add,type,
ordere779506340up_add: $i > $o ).
tff('#skF_70',type,
'#skF_70': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff(wt,type,
wt: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(nat_case,type,
nat_case: $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i ) > $i ).
tff(body,type,
body: $i ).
tff(bot,type,
bot: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i * $i ) > $i ).
tff(ordere236663937imp_le,type,
ordere236663937imp_le: $i > $o ).
tff('#skF_58',type,
'#skF_58': ( $i * $i * $i ) > $i ).
tff(fequal,type,
fequal: $i > $i ).
tff(cancel146912293up_add,type,
cancel146912293up_add: $i > $o ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(undefined,type,
undefined: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i ) > $i ).
tff(combi,type,
combi: $i > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(comm_monoid_add,type,
comm_monoid_add: $i > $o ).
tff(insert,type,
insert: $i > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(ordere223160158up_add,type,
ordere223160158up_add: $i > $o ).
tff(the_1,type,
the_1: $i > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(pn,type,
pn: $i ).
tff(fdisj,type,
fdisj: $i ).
tff(ordered_ab_group_add,type,
ordered_ab_group_add: $i > $o ).
tff(finite_finite,type,
finite_finite: $i > $i ).
tff(image,type,
image: ( $i * $i ) > $i ).
tff(g,type,
g: $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(mgt_call,type,
mgt_call: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(finite1357897459simple,type,
finite1357897459simple: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(minus_minus,type,
minus_minus: $i > $i ).
tff(ti,type,
ti: ( $i * $i ) > $i ).
tff(pname,type,
pname: $i ).
tff(finite2073411215e_idem,type,
finite2073411215e_idem: $i > $i ).
tff(fTrue,type,
fTrue: $i ).
tff(x_a,type,
x_a: $i ).
tff(linordered_idom,type,
linordered_idom: $i > $o ).
tff(na,type,
na: $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff(ab_group_add,type,
ab_group_add: $i > $o ).
tff(option,type,
option: $i > $i ).
tff(ordere216010020id_add,type,
ordere216010020id_add: $i > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i ) > $i ).
tff('#skF_76',type,
'#skF_76': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i ) > $i ).
tff(cancel_semigroup_add,type,
cancel_semigroup_add: $i > $o ).
tff(the,type,
the: $i > $i ).
tff(zero_zero,type,
zero_zero: $i > $i ).
tff(preorder,type,
preorder: $i > $o ).
tff('#skF_79',type,
'#skF_79': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i ) > $i ).
tff(dense_linorder,type,
dense_linorder: $i > $o ).
tff(ord_less,type,
ord_less: $i > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff(plus_plus,type,
plus_plus: $i > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i ) > $i ).
tff(p,type,
p: $i ).
tff(finite_folding_one,type,
finite_folding_one: $i > $i ).
tff(one,type,
one: $i > $o ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(finite_finite_1,type,
finite_finite_1: $i > $o ).
tff('#skF_61',type,
'#skF_61': ( $i * $i ) > $i ).
tff(fFalse,type,
fFalse: $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff(finite_comp_fun_idem,type,
finite_comp_fun_idem: ( $i * $i ) > $i ).
tff(order,type,
order: $i > $o ).
tff('#skF_72',type,
'#skF_72': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(zero,type,
zero: $i > $o ).
tff(combc,type,
combc: ( $i * $i * $i ) > $i ).
tff(finite_card,type,
finite_card: $i > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i ) > $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(linorder,type,
linorder: $i > $o ).
tff(f_3295,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f_543,axiom,
! [X_c,X_b,F,X_1,A_3] :
( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
=> hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),hAPP(X_b,X_c,F,X_1)),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_imageI) ).
tff(f_3258,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f_3292,hypothesis,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f_121,axiom,
! [X_c,X_a,B_1_1,B_2_1] : ( ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_res) ).
tff(f_3211,axiom,
! [P] :
( hBOOL(P)
| hBOOL(hAPP(bool,bool,fNot,P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U) ).
tff(f_3262,axiom,
! [P] :
( ( ti(bool,P) = fTrue )
| ( ti(bool,P) = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
tff(f_125,hypothesis,
! [B_1_1] :
( hBOOL(ti(bool,B_1_1))
<=> hBOOL(B_1_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hBOOL_arg1) ).
tff(f_3299,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
tff(f_563,axiom,
! [X_b,X_1,A_3,B_2] :
( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)),B_2))
<=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_2))
& hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_insert__subset) ).
tff(c_1678,plain,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(cnfTransformation,[status(thm)],[f_3295]) ).
tff(c_326,plain,
! [A_3_308,X_b_305,X_c_304,F_306,X_1_307] :
( hBOOL(hAPP(fun(X_c_304,bool),bool,hAPP(X_c_304,fun(fun(X_c_304,bool),bool),member(X_c_304),hAPP(X_b_305,X_c_304,F_306,X_1_307)),hAPP(fun(X_b_305,bool),fun(X_c_304,bool),hAPP(fun(X_b_305,X_c_304),fun(fun(X_b_305,bool),fun(X_c_304,bool)),image(X_b_305,X_c_304),F_306),A_3_308)))
| ~ hBOOL(hAPP(fun(X_b_305,bool),bool,hAPP(X_b_305,fun(fun(X_b_305,bool),bool),member(X_b_305),X_1_307),A_3_308)) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_1656,plain,
~ hBOOL(fFalse),
inference(cnfTransformation,[status(thm)],[f_3258]) ).
tff(c_1672,plain,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(cnfTransformation,[status(thm)],[f_3292]) ).
tff(c_6204,plain,
! [X_c_2312,X_a_2313,B_1_1_2314,B_2_1_2315] : ( ti(X_c_2312,hAPP(X_a_2313,X_c_2312,B_1_1_2314,B_2_1_2315)) = hAPP(X_a_2313,X_c_2312,B_1_1_2314,B_2_1_2315) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_1632,plain,
! [P_2075] :
( hBOOL(hAPP(bool,bool,fNot,P_2075))
| hBOOL(P_2075) ),
inference(cnfTransformation,[status(thm)],[f_3211]) ).
tff(c_2196,plain,
! [P_2144] :
( ( ti(bool,P_2144) = fFalse )
| ( ti(bool,P_2144) = fTrue ) ),
inference(cnfTransformation,[status(thm)],[f_3262]) ).
tff(c_86,plain,
! [B_1_1_54] :
( hBOOL(B_1_1_54)
| ~ hBOOL(ti(bool,B_1_1_54)) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_2220,plain,
! [P_2144] :
( hBOOL(P_2144)
| ~ hBOOL(fTrue)
| ( ti(bool,P_2144) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_2196,c_86]) ).
tff(c_5826,plain,
~ hBOOL(fTrue),
inference(splitLeft,[status(thm)],[c_2220]) ).
tff(c_88,plain,
! [B_1_1_54] :
( hBOOL(ti(bool,B_1_1_54))
| ~ hBOOL(B_1_1_54) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_2217,plain,
! [P_2144] :
( hBOOL(fTrue)
| ~ hBOOL(P_2144)
| ( ti(bool,P_2144) = fFalse ) ),
inference(superposition,[status(thm),theory(equality)],[c_2196,c_88]) ).
tff(c_5828,plain,
! [P_2285] :
( ~ hBOOL(P_2285)
| ( ti(bool,P_2285) = fFalse ) ),
inference(negUnitSimplification,[status(thm)],[c_5826,c_2217]) ).
tff(c_5927,plain,
! [P_2294] :
( ( ti(bool,hAPP(bool,bool,fNot,P_2294)) = fFalse )
| hBOOL(P_2294) ),
inference(resolution,[status(thm)],[c_1632,c_5828]) ).
tff(c_5939,plain,
! [P_2294] :
( hBOOL(fFalse)
| ~ hBOOL(hAPP(bool,bool,fNot,P_2294))
| hBOOL(P_2294) ),
inference(superposition,[status(thm),theory(equality)],[c_5927,c_88]) ).
tff(c_5955,plain,
! [P_2295] :
( ~ hBOOL(hAPP(bool,bool,fNot,P_2295))
| hBOOL(P_2295) ),
inference(negUnitSimplification,[status(thm)],[c_1656,c_5939]) ).
tff(c_5959,plain,
! [P_2075] : hBOOL(P_2075),
inference(resolution,[status(thm)],[c_1632,c_5955]) ).
tff(c_6020,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5959,c_5826]) ).
tff(c_6023,plain,
! [P_2300] :
( hBOOL(P_2300)
| ( ti(bool,P_2300) = fFalse ) ),
inference(splitRight,[status(thm)],[c_2220]) ).
tff(c_1682,plain,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(cnfTransformation,[status(thm)],[f_3299]) ).
tff(c_6039,plain,
ti(bool,hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) = fFalse,
inference(resolution,[status(thm)],[c_6023,c_1682]) ).
tff(c_6210,plain,
hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)) = fFalse,
inference(superposition,[status(thm),theory(equality)],[c_6204,c_6039]) ).
tff(c_325839,plain,
! [X_b_5176,X_1_5177,A_3_5178,B_2_5179] :
( hBOOL(hAPP(fun(X_b_5176,bool),bool,hAPP(fun(X_b_5176,bool),fun(fun(X_b_5176,bool),bool),ord_less_eq(fun(X_b_5176,bool)),hAPP(fun(X_b_5176,bool),fun(X_b_5176,bool),hAPP(X_b_5176,fun(fun(X_b_5176,bool),fun(X_b_5176,bool)),insert(X_b_5176),X_1_5177),A_3_5178)),B_2_5179))
| ~ hBOOL(hAPP(fun(X_b_5176,bool),bool,hAPP(fun(X_b_5176,bool),fun(fun(X_b_5176,bool),bool),ord_less_eq(fun(X_b_5176,bool)),A_3_5178),B_2_5179))
| ~ hBOOL(hAPP(fun(X_b_5176,bool),bool,hAPP(X_b_5176,fun(fun(X_b_5176,bool),bool),member(X_b_5176),X_1_5177),B_2_5179)) ),
inference(cnfTransformation,[status(thm)],[f_563]) ).
tff(c_326131,plain,
( hBOOL(fFalse)
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
inference(superposition,[status(thm),theory(equality)],[c_6210,c_325839]) ).
tff(c_326227,plain,
( hBOOL(fFalse)
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1672,c_326131]) ).
tff(c_326228,plain,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(negUnitSimplification,[status(thm)],[c_1656,c_326227]) ).
tff(c_326347,plain,
~ hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(resolution,[status(thm)],[c_326,c_326228]) ).
tff(c_326366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1678,c_326347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW473+6 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.38 % Computer : n009.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Thu Aug 3 19:08:54 EDT 2023
% 0.14/0.38 % CPUTime :
% 186.45/136.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 186.45/136.46
% 186.45/136.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 186.61/136.50
% 186.61/136.50 Inference rules
% 186.61/136.50 ----------------------
% 186.61/136.50 #Ref : 140
% 186.61/136.50 #Sup : 73162
% 186.61/136.50 #Fact : 16
% 186.61/136.50 #Define : 0
% 186.61/136.50 #Split : 51
% 186.61/136.50 #Chain : 0
% 186.61/136.50 #Close : 0
% 186.61/136.50
% 186.61/136.50 Ordering : KBO
% 186.61/136.50
% 186.61/136.50 Simplification rules
% 186.61/136.50 ----------------------
% 186.61/136.50 #Subsume : 27476
% 186.61/136.50 #Demod : 65187
% 186.61/136.50 #Tautology : 13971
% 186.61/136.50 #SimpNegUnit : 9552
% 186.61/136.50 #BackRed : 85
% 186.61/136.50
% 186.61/136.50 #Partial instantiations: 0
% 186.61/136.50 #Strategies tried : 1
% 186.61/136.50
% 186.61/136.50 Timing (in seconds)
% 186.61/136.50 ----------------------
% 186.61/136.50 Preprocessing : 2.48
% 186.61/136.50 Parsing : 1.34
% 186.61/136.50 CNF conversion : 0.18
% 186.61/136.50 Main loop : 132.86
% 186.61/136.50 Inferencing : 12.89
% 186.61/136.50 Reduction : 92.08
% 186.61/136.50 Demodulation : 83.08
% 186.61/136.50 BG Simplification : 0.93
% 186.61/136.50 Subsumption : 22.34
% 186.61/136.50 Abstraction : 1.64
% 186.61/136.50 MUC search : 0.00
% 186.61/136.50 Cooper : 0.00
% 186.61/136.50 Total : 135.40
% 186.61/136.50 Index Insertion : 0.00
% 186.61/136.50 Index Deletion : 0.00
% 186.61/136.50 Index Matching : 0.00
% 186.61/136.50 BG Taut test : 0.00
%------------------------------------------------------------------------------