TSTP Solution File: SWW527_5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW527_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n010.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 : Mon Jun 24 18:33:24 EDT 2024
% Result : Theorem 1.83s 0.63s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 308 ( 127 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 393 ( 156 ~; 151 |; 25 &)
% ( 5 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-5 aty)
% Number of functors : 43 ( 43 usr; 8 con; 0-5 aty)
% Number of variables : 228 ( 205 !; 23 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
huffma1450048681e_tree: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
huffma675207370phabet:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,bool) ) ).
tff(func_def_5,type,
huffma1146269203erNode:
!>[X0: $tType] : ( ( nat * huffma1450048681e_tree(X0) * huffma1450048681e_tree(X0) ) > huffma1450048681e_tree(X0) ) ).
tff(func_def_6,type,
huffma2021818691e_Leaf:
!>[X0: $tType] : ( ( nat * X0 ) > huffma1450048681e_tree(X0) ) ).
tff(func_def_7,type,
huffma107959123e_case:
!>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),X1))) * huffma1450048681e_tree(X0) ) > X1 ) ).
tff(func_def_8,type,
huffma1280178957ee_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),fun(X1,fun(X1,X1))))) * huffma1450048681e_tree(X0) ) > X1 ) ).
tff(func_def_9,type,
inf_inf:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_10,type,
sup_sup:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_11,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_12,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_13,type,
insert:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_14,type,
the_elem:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_15,type,
aa1:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fNot: fun(bool,bool) ).
tff(func_def_18,type,
fTrue: bool ).
tff(func_def_19,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_20,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_21,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_22,type,
fimplies: fun(bool,fun(bool,bool)) ).
tff(func_def_23,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_24,type,
aa: a ).
tff(func_def_25,type,
ta: huffma1450048681e_tree(a) ).
tff(func_def_26,type,
sK2:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_27,type,
sK3:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_28,type,
sK4:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_29,type,
sK5:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_30,type,
sK6:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_31,type,
sK7:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_32,type,
sK8:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_33,type,
sK9:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_34,type,
sK10:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_35,type,
sK11:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_36,type,
sK12:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_37,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_38,type,
sK14:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_39,type,
sK15:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).
tff(func_def_40,type,
sK16:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).
tff(pred_def_1,type,
bounded_lattice:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
lattice:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semilattice_inf:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semilattice_sup:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
bounded_lattice_bot:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
huffma1518433673istent:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).
tff(pred_def_8,type,
pp: bool > $o ).
tff(pred_def_10,type,
sP0:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_11,type,
sP1:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,bool) * X0 ) > $o ) ).
tff(f617,plain,
$false,
inference(subsumption_resolution,[],[f616,f615]) ).
tff(f615,plain,
bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,sK3(a,ta)),huffma675207370phabet(a,sK4(a,ta))),
inference(subsumption_resolution,[],[f604,f309]) ).
tff(f309,plain,
huffma1518433673istent(a,ta),
inference(cnf_transformation,[],[f138]) ).
tff(f138,axiom,
huffma1518433673istent(a,ta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f604,plain,
( ~ huffma1518433673istent(a,ta)
| ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,sK3(a,ta)),huffma675207370phabet(a,sK4(a,ta))) ) ),
inference(superposition,[],[f316,f516]) ).
tff(f516,plain,
ta = huffma1146269203erNode(a,sK2(a,ta),sK3(a,ta),sK4(a,ta)),
inference(unit_resulting_resolution,[],[f452,f324]) ).
tff(f324,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 )
| ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f263]) ).
tff(f263,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 )
| ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f260,f262,f261]) ).
tff(f261,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
=> ( huffma1146269203erNode(X0,sK2(X0,X1),sK3(X0,X1),sK4(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
tff(f262,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 )
=> ( huffma2021818691e_Leaf(X0,sK5(X0,X1),sK6(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
tff(f260,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
| ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 ) ),
inference(rectify,[],[f219]) ).
tff(f219,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) = X1 )
| ? [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) = X1 ) ),
inference(ennf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ! [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) != X1 )
=> ~ ! [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) != X1 ) ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X0: $tType,X27: huffma1450048681e_tree(X0)] :
( ! [X41: nat,X38: X0] : ( huffma2021818691e_Leaf(X0,X41,X38) != X27 )
=> ~ ! [X41: nat,X42: huffma1450048681e_tree(X0),X43: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X41,X42,X43) != X27 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f452,plain,
! [X0: nat,X1: a] : ( ta != huffma2021818691e_Leaf(a,X0,X1) ),
inference(subsumption_resolution,[],[f421,f308]) ).
tff(f308,plain,
~ pa,
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
~ pa,
inference(flattening,[],[f144]) ).
tff(f144,negated_conjecture,
~ pa,
inference(negated_conjecture,[],[f143]) ).
tff(f143,conjecture,
pa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f421,plain,
! [X0: nat,X1: a] :
( pa
| ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
inference(equality_resolution,[],[f310]) ).
tff(f310,plain,
! [X2: a,X0: nat,X1: a] :
( pa
| ( aa != X2 )
| ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
inference(cnf_transformation,[],[f212]) ).
tff(f212,plain,
! [X0: nat,X1: a,X2: a] :
( pa
| ( aa != X2 )
| ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
inference(flattening,[],[f211]) ).
tff(f211,plain,
! [X0: nat,X1: a,X2: a] :
( pa
| ( aa != X2 )
| ( ta != huffma2021818691e_Leaf(a,X0,X1) ) ),
inference(ennf_transformation,[],[f146]) ).
tff(f146,plain,
! [X0: nat,X1: a,X2: a] :
( ( ta = huffma2021818691e_Leaf(a,X0,X1) )
=> ( ( aa = X2 )
=> pa ) ),
inference(rectify,[],[f139]) ).
tff(f139,axiom,
! [X56: nat,X57: a,X58: a] :
( ( ta = huffma2021818691e_Leaf(a,X56,X57) )
=> ( ( aa = X58 )
=> pa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f316,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
( ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) ) ),
inference(cnf_transformation,[],[f257]) ).
tff(f257,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
( ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) != bot_bot(fun(X0,bool)) )
| ~ huffma1518433673istent(X0,X1)
| ~ huffma1518433673istent(X0,X2) )
& ( ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
& huffma1518433673istent(X0,X1)
& huffma1518433673istent(X0,X2) )
| ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ) ),
inference(flattening,[],[f256]) ).
tff(f256,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
( ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) != bot_bot(fun(X0,bool)) )
| ~ huffma1518433673istent(X0,X1)
| ~ huffma1518433673istent(X0,X2) )
& ( ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
& huffma1518433673istent(X0,X1)
& huffma1518433673istent(X0,X2) )
| ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ) ),
inference(nnf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
<=> ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
& huffma1518433673istent(X0,X1)
& huffma1518433673istent(X0,X2) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: $tType,X14: huffma1450048681e_tree(X1),X15: huffma1450048681e_tree(X1),X16: nat] :
( huffma1518433673istent(X1,huffma1146269203erNode(X1,X16,X15,X14))
<=> ( ( inf_inf(fun(X1,bool),huffma675207370phabet(X1,X15),huffma675207370phabet(X1,X14)) = bot_bot(fun(X1,bool)) )
& huffma1518433673istent(X1,X14)
& huffma1518433673istent(X1,X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f616,plain,
bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,sK3(a,ta)),huffma675207370phabet(a,sK4(a,ta))),
inference(unit_resulting_resolution,[],[f613,f516,f614,f458]) ).
tff(f458,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(subsumption_resolution,[],[f457,f455]) ).
tff(f455,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(subsumption_resolution,[],[f454,f453]) ).
tff(f453,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(subsumption_resolution,[],[f422,f308]) ).
tff(f422,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( pa
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(equality_resolution,[],[f311]) ).
tff(f311,plain,
! [X2: huffma1450048681e_tree(a),X3: a,X0: nat,X1: huffma1450048681e_tree(a)] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(cnf_transformation,[],[f214]) ).
tff(f214,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(flattening,[],[f213]) ).
tff(f213,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(ennf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( huffma1518433673istent(a,X1)
=> ( huffma1518433673istent(a,X2)
=> ( ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
=> ( ( ta = huffma1146269203erNode(a,X0,X1,X2) )
=> ( ( aa = X3 )
=> pa ) ) ) ) ) ) ),
inference(rectify,[],[f142]) ).
tff(f142,axiom,
! [X59: nat,X60: huffma1450048681e_tree(a),X61: huffma1450048681e_tree(a),X58: a] :
( huffma1518433673istent(a,X60)
=> ( huffma1518433673istent(a,X61)
=> ( ( inf_inf(fun(a,bool),huffma675207370phabet(a,X60),huffma675207370phabet(a,X61)) = bot_bot(fun(a,bool)) )
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X60)))
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X61)))
=> ( ( ta = huffma1146269203erNode(a,X59,X60,X61) )
=> ( ( aa = X58 )
=> pa ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f454,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(subsumption_resolution,[],[f423,f308]) ).
tff(f423,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( pa
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(equality_resolution,[],[f312]) ).
tff(f312,plain,
! [X2: huffma1450048681e_tree(a),X3: a,X0: nat,X1: huffma1450048681e_tree(a)] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(flattening,[],[f215]) ).
tff(f215,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(ennf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( huffma1518433673istent(a,X1)
=> ( huffma1518433673istent(a,X2)
=> ( ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
=> ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
=> ( ( ta = huffma1146269203erNode(a,X0,X1,X2) )
=> ( ( aa = X3 )
=> pa ) ) ) ) ) ) ),
inference(rectify,[],[f141]) ).
tff(f141,axiom,
! [X59: nat,X60: huffma1450048681e_tree(a),X61: huffma1450048681e_tree(a),X58: a] :
( huffma1518433673istent(a,X60)
=> ( huffma1518433673istent(a,X61)
=> ( ( inf_inf(fun(a,bool),huffma675207370phabet(a,X60),huffma675207370phabet(a,X61)) = bot_bot(fun(a,bool)) )
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X60)))
=> ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X61)))
=> ( ( ta = huffma1146269203erNode(a,X59,X60,X61) )
=> ( ( aa = X58 )
=> pa ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f457,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(subsumption_resolution,[],[f456,f435]) ).
tff(f435,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool),X6: X0] :
( ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X2))
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1))
| ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ),
inference(equality_resolution,[],[f349]) ).
tff(f349,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(X0,bool),X6: X0,X5: X0] :
( ( X5 != X6 )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1))
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X5),X2))
| ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ),
inference(cnf_transformation,[],[f275]) ).
tff(f275,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
| ( ( sK8(X0,X1,X2) = sK9(X0,X1,X2) )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK9(X0,X1,X2)),X1))
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK8(X0,X1,X2)),X2)) ) )
& ( ! [X5: X0] :
( ! [X6: X0] :
( ( X5 != X6 )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1)) )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X5),X2)) )
| ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f272,f274,f273]) ).
tff(f273,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ? [X3: X0] :
( ? [X4: X0] :
( ( X3 = X4 )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) )
=> ( ? [X4: X0] :
( ( sK8(X0,X1,X2) = X4 )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK8(X0,X1,X2)),X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f274,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ? [X4: X0] :
( ( sK8(X0,X1,X2) = X4 )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
=> ( ( sK8(X0,X1,X2) = sK9(X0,X1,X2) )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),sK9(X0,X1,X2)),X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f272,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
| ? [X3: X0] :
( ? [X4: X0] :
( ( X3 = X4 )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) )
& ( ! [X5: X0] :
( ! [X6: X0] :
( ( X5 != X6 )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X6),X1)) )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X5),X2)) )
| ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ) ),
inference(rectify,[],[f271]) ).
tff(f271,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
| ? [X3: X0] :
( ? [X4: X0] :
( ( X3 = X4 )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
& pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) )
& ( ! [X3: X0] :
( ! [X4: X0] :
( ( X3 != X4 )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) )
| ( bot_bot(fun(X0,bool)) != inf_inf(fun(X0,bool),X2,X1) ) ) ),
inference(nnf_transformation,[],[f225]) ).
tff(f225,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
<=> ! [X3: X0] :
( ! [X4: X0] :
( ( X3 != X4 )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1)) )
| ~ pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2)) ) ),
inference(ennf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0: $tType,X1: fun(X0,bool),X2: fun(X0,bool)] :
( ( bot_bot(fun(X0,bool)) = inf_inf(fun(X0,bool),X2,X1) )
<=> ! [X3: X0] :
( pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X3),X2))
=> ! [X4: X0] :
( pp(aa1(fun(X0,bool),bool,aa1(X0,fun(fun(X0,bool),bool),member(X0),X4),X1))
=> ( X3 != X4 ) ) ) ),
inference(rectify,[],[f47]) ).
tff(f47,axiom,
! [X1: $tType,X22: fun(X1,bool),X23: fun(X1,bool)] :
( ( bot_bot(fun(X1,bool)) = inf_inf(fun(X1,bool),X23,X22) )
<=> ! [X28: X1] :
( pp(aa1(fun(X1,bool),bool,aa1(X1,fun(fun(X1,bool),bool),member(X1),X28),X23))
=> ! [X34: X1] :
( pp(aa1(fun(X1,bool),bool,aa1(X1,fun(fun(X1,bool),bool),member(X1),X34),X22))
=> ( X28 != X34 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f456,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(subsumption_resolution,[],[f424,f308]) ).
tff(f424,plain,
! [X2: huffma1450048681e_tree(a),X0: nat,X1: huffma1450048681e_tree(a)] :
( pa
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X2)))
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),aa),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(equality_resolution,[],[f313]) ).
tff(f313,plain,
! [X2: huffma1450048681e_tree(a),X3: a,X0: nat,X1: huffma1450048681e_tree(a)] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(cnf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(flattening,[],[f217]) ).
tff(f217,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( pa
| ( aa != X3 )
| ( ta != huffma1146269203erNode(a,X0,X1,X2) )
| pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
| ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
| ( bot_bot(fun(a,bool)) != inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
| ~ huffma1518433673istent(a,X2)
| ~ huffma1518433673istent(a,X1) ),
inference(ennf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0: nat,X1: huffma1450048681e_tree(a),X2: huffma1450048681e_tree(a),X3: a] :
( huffma1518433673istent(a,X1)
=> ( huffma1518433673istent(a,X2)
=> ( ( bot_bot(fun(a,bool)) = inf_inf(fun(a,bool),huffma675207370phabet(a,X1),huffma675207370phabet(a,X2)) )
=> ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X1)))
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X3),huffma675207370phabet(a,X2)))
=> ( ( ta = huffma1146269203erNode(a,X0,X1,X2) )
=> ( ( aa = X3 )
=> pa ) ) ) ) ) ) ),
inference(rectify,[],[f140]) ).
tff(f140,axiom,
! [X59: nat,X60: huffma1450048681e_tree(a),X61: huffma1450048681e_tree(a),X58: a] :
( huffma1518433673istent(a,X60)
=> ( huffma1518433673istent(a,X61)
=> ( ( inf_inf(fun(a,bool),huffma675207370phabet(a,X60),huffma675207370phabet(a,X61)) = bot_bot(fun(a,bool)) )
=> ( pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X60)))
=> ( ~ pp(aa1(fun(a,bool),bool,aa1(a,fun(fun(a,bool),bool),member(a),X58),huffma675207370phabet(a,X61)))
=> ( ( ta = huffma1146269203erNode(a,X59,X60,X61) )
=> ( ( aa = X58 )
=> pa ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f614,plain,
huffma1518433673istent(a,sK4(a,ta)),
inference(subsumption_resolution,[],[f603,f309]) ).
tff(f603,plain,
( ~ huffma1518433673istent(a,ta)
| huffma1518433673istent(a,sK4(a,ta)) ),
inference(superposition,[],[f315,f516]) ).
tff(f315,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
( ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| huffma1518433673istent(X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
tff(f613,plain,
huffma1518433673istent(a,sK3(a,ta)),
inference(subsumption_resolution,[],[f602,f309]) ).
tff(f602,plain,
( ~ huffma1518433673istent(a,ta)
| huffma1518433673istent(a,sK3(a,ta)) ),
inference(superposition,[],[f314,f516]) ).
tff(f314,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
( ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| huffma1518433673istent(X0,X2) ),
inference(cnf_transformation,[],[f257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW527_5 : TPTP v8.2.0. Released v6.0.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 07:45:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TF1_THM_EQU_NAR problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24680)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24679)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24683)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24682)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24681)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24677)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.43 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (24678)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.48 % (24683)Instruction limit reached!
% 0.22/0.48 % (24683)------------------------------
% 0.22/0.48 % (24683)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (24683)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (24683)Termination reason: Time limit
% 0.22/0.48 % (24683)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (24683)Memory used [KB]: 2082
% 0.22/0.48 % (24683)Time elapsed: 0.050 s
% 0.22/0.48 % (24683)Instructions burned: 125 (million)
% 0.22/0.49 % (24681)Instruction limit reached!
% 0.22/0.49 % (24681)------------------------------
% 0.22/0.49 % (24681)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (24681)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (24681)Termination reason: Time limit
% 0.22/0.49 % (24681)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (24681)Memory used [KB]: 2031
% 0.22/0.49 % (24681)Time elapsed: 0.057 s
% 0.22/0.49 % (24681)Instructions burned: 109 (million)
% 0.22/0.49 % (24682)Instruction limit reached!
% 0.22/0.49 % (24682)------------------------------
% 0.22/0.49 % (24682)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (24682)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (24682)Termination reason: Time limit
% 0.22/0.49 % (24682)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (24682)Memory used [KB]: 2132
% 0.22/0.49 % (24682)Time elapsed: 0.060 s
% 0.22/0.49 % (24682)Instructions burned: 133 (million)
% 0.22/0.51 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (24684)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.22/0.52 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (24685)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.22/0.52 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (24686)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 0.22/0.55 % (24684)Instruction limit reached!
% 0.22/0.55 % (24684)------------------------------
% 0.22/0.55 % (24684)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.55 % (24684)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.55 % (24684)Termination reason: Time limit
% 0.22/0.55 % (24684)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (24684)Memory used [KB]: 2047
% 0.22/0.55 % (24684)Time elapsed: 0.039 s
% 0.22/0.55 % (24684)Instructions burned: 127 (million)
% 0.22/0.57 % (24685)Instruction limit reached!
% 0.22/0.57 % (24685)------------------------------
% 0.22/0.57 % (24685)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.57 % (24685)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.57 % (24685)Termination reason: Time limit
% 0.22/0.57 % (24685)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (24685)Memory used [KB]: 2188
% 0.22/0.57 % (24685)Time elapsed: 0.051 s
% 0.22/0.57 % (24685)Instructions burned: 146 (million)
% 0.22/0.58 % (24686)Instruction limit reached!
% 0.22/0.58 % (24686)------------------------------
% 0.22/0.58 % (24686)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.58 % (24686)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.58 % (24686)Termination reason: Time limit
% 0.22/0.58 % (24686)Termination phase: Saturation
% 0.22/0.58
% 0.22/0.58 % (24686)Memory used [KB]: 2765
% 0.22/0.58 % (24686)Time elapsed: 0.057 s
% 0.22/0.58 % (24686)Instructions burned: 174 (million)
% 0.22/0.59 % (24676)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59 % (24687)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2998ds/226Mi)
% 0.22/0.59 % (24687)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.68/0.60 % (24676)Running in auto input_syntax mode. Trying TPTP
% 1.68/0.60 % (24688)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/247Mi)
% 1.83/0.61 % (24676)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.61 % (24689)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2997ds/230Mi)
% 1.83/0.62 % (24689)First to succeed.
% 1.83/0.63 % (24689)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24676"
% 1.83/0.63 % (24676)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.63 % (24689)Refutation found. Thanks to Tanya!
% 1.83/0.63 % SZS status Theorem for theBenchmark
% 1.83/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.63 % (24689)------------------------------
% 1.83/0.63 % (24689)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.63 % (24689)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.63 % (24689)Termination reason: Refutation
% 1.83/0.63
% 1.83/0.63 % (24689)Memory used [KB]: 1580
% 1.83/0.63 % (24689)Time elapsed: 0.013 s
% 1.83/0.63 % (24689)Instructions burned: 38 (million)
% 1.83/0.63 % (24689)------------------------------
% 1.83/0.63 % (24689)------------------------------
% 1.83/0.63 % (24676)Success in time 0.256 s
%------------------------------------------------------------------------------