TSTP Solution File: SCT230_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT230_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 May 21 02:49:46 EDT 2024
% Result : Theorem 1.32s 0.93s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 81
% Syntax : Number of formulae : 155 ( 10 unt; 68 typ; 0 def)
% Number of atoms : 322 ( 23 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 378 ( 143 ~; 196 |; 9 &)
% ( 14 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 91 ( 52 >; 39 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-5 aty)
% Number of functors : 56 ( 56 usr; 10 con; 0-7 aty)
% Number of variables : 264 ( 130 !; 4 ?; 264 :)
% ( 130 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
arrow_159774573e_indi: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
arrow_1985332922le_Lin: fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool) ).
tff(func_def_1,type,
arrow_610318064e_Prof: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool) ).
tff(func_def_2,type,
arrow_1158827142_above: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_3,type,
arrow_319942042_below: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_4,type,
arrow_276188178_mkbot: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_5,type,
arrow_424895264_mktop: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_6,type,
comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_7,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_8,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).
tff(func_def_9,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_10,type,
product_prod_case:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_11,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_12,type,
id_on:
!>[X0: $tType] : ( fun(X0,bool) > fun(product_prod(X0,X0),bool) ) ).
tff(func_def_13,type,
converse:
!>[X0: $tType,X1: $tType] : fun(fun(product_prod(X0,X1),bool),fun(product_prod(X1,X0),bool)) ).
tff(func_def_14,type,
inv_image:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X1,X0) ) > fun(product_prod(X1,X1),bool) ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
f: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_19,type,
p1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_20,type,
p: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_21,type,
a: arrow_411405190le_alt ).
tff(func_def_22,type,
b: arrow_411405190le_alt ).
tff(func_def_23,type,
c: arrow_411405190le_alt ).
tff(func_def_24,type,
sK0:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * product_prod(X0,X1) ) > X1 ) ).
tff(func_def_25,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * product_prod(X0,X1) ) > X0 ) ).
tff(func_def_26,type,
sK2:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_27,type,
sK3: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_28,type,
sK4: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_29,type,
sK5: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_30,type,
sK6:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_31,type,
sK7:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_32,type,
sK8:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_33,type,
sK9:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_34,type,
sK10:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_35,type,
sK11:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_36,type,
sK12:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_37,type,
sK13:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
tff(func_def_38,type,
sK14:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
tff(func_def_39,type,
sK15:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
tff(func_def_40,type,
sK16:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_41,type,
sK17:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_42,type,
sK18:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_43,type,
sK19:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_44,type,
sK20:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_45,type,
sK21:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_46,type,
sK22:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_47,type,
sK23:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
tff(func_def_48,type,
sK24:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_49,type,
sK25:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_50,type,
sK26:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_51,type,
sK27:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_52,type,
sK28: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_53,type,
sK29: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(pred_def_1,type,
arrow_1958449194le_IIA: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_2,type,
arrow_987702531ctator: ( fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > $o ).
tff(pred_def_3,type,
arrow_2069624013nimity: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_4,type,
in_rel:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),bool) * X0 * X1 ) > $o ) ).
tff(pred_def_5,type,
antisym:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_6,type,
irrefl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_7,type,
total_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_8,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_9,type,
pp: bool > $o ).
tff(f1572,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f263,f599,f1571]) ).
tff(f1571,plain,
( ~ spl30_1
| spl30_2 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
tff(f1570,plain,
( $false
| ~ spl30_1
| spl30_2 ),
inference(subsumption_resolution,[],[f1569,f1229]) ).
tff(f1229,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ spl30_1
| spl30_2 ),
inference(subsumption_resolution,[],[f1228,f207]) ).
tff(f207,plain,
! [X1: $tType,X0: $tType,X2: fun(product_prod(X1,X0),bool),X3: X0,X4: X1] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X3,X4),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X2))
| ~ member(product_prod(X1,X0),product_Pair(X1,X0,X4,X3),X2) ),
inference(cnf_transformation,[],[f140]) ).
tff(f140,plain,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool),X3: X0,X4: X1] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X3,X4),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X2))
| ~ member(product_prod(X1,X0),product_Pair(X1,X0,X4,X3),X2) ),
inference(ennf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool),X3: X0,X4: X1] :
( member(product_prod(X1,X0),product_Pair(X1,X0,X4,X3),X2)
=> member(product_prod(X0,X1),product_Pair(X0,X1,X3,X4),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X2)) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X1: $tType,X0: $tType,X5: fun(product_prod(X0,X1),bool),X6: X1,X7: X0] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X7,X6),X5)
=> member(product_prod(X1,X0),product_Pair(X1,X0,X6,X7),aa(fun(product_prod(X0,X1),bool),fun(product_prod(X1,X0),bool),converse(X0,X1),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_converseI) ).
tff(f1228,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ spl30_1
| spl30_2 ),
inference(subsumption_resolution,[],[f1223,f261]) ).
tff(f261,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| spl30_2 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f259,plain,
( spl30_2
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
tff(f1223,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ spl30_1 ),
inference(resolution,[],[f648,f227]) ).
tff(f227,plain,
member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),arrow_610318064e_Prof),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),arrow_610318064e_Prof),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_cP) ).
tff(f648,plain,
( ! [X0: $tType,X2: fun(arrow_159774573e_indi,X0),X1: fun(X0,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(X0,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,X1,X2),arrow_610318064e_Prof)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(X0,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,X1,X2)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(X0,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,X1,X2),p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(X0,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,aa(arrow_159774573e_indi,X0,X2,sK3(comp(X0,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,X1,X2),p,b,a)))) )
| ~ spl30_1 ),
inference(superposition,[],[f614,f198]) ).
tff(f198,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: fun(X2,X1),X4: fun(X1,X0),X5: X2] : ( aa(X2,X0,comp(X1,X0,X2,X4,X3),X5) = aa(X1,X0,X4,aa(X2,X1,X3,X5)) ),
inference(cnf_transformation,[],[f105]) ).
tff(f105,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: fun(X2,X1),X4: fun(X1,X0),X5: X2] : ( aa(X2,X0,comp(X1,X0,X2,X4,X3),X5) = aa(X1,X0,X4,aa(X2,X1,X3,X5)) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X1: $tType,X2: $tType,X0: $tType,X14: fun(X0,X2),X15: fun(X2,X1),X29: X0] : ( aa(X0,X1,comp(X2,X1,X0,X15,X14),X29) = aa(X2,X1,X15,aa(X0,X2,X14,X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_o__def) ).
tff(f614,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(X0,p,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof) )
| ~ spl30_1 ),
inference(subsumption_resolution,[],[f613,f232]) ).
tff(f232,plain,
a != b,
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_A_I1_J) ).
tff(f613,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(X0,p,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_1 ),
inference(subsumption_resolution,[],[f600,f230]) ).
tff(f230,plain,
member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_A_I4_J) ).
tff(f600,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(X0,p,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_1 ),
inference(resolution,[],[f256,f211]) ).
tff(f211,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)) ) )
| ( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3))) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3))) ) )
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f163,f164]) ).
tff(f164,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ? [X4: arrow_159774573e_indi] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4)) ) )
=> ( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3))) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f163,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1)) ) )
| ? [X4: arrow_159774573e_indi] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4)) ) )
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(nnf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)) )
| ? [X4: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4))
<~> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4)) )
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(flattening,[],[f142]) ).
tff(f142,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)) )
| ? [X4: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4))
<~> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4)) )
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(ennf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( X2 != X3 )
=> ( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
=> ( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
=> ( ! [X4: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,X4)) )
=> ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0)) ) ) ) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X8: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X9: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X6: arrow_411405190le_alt,X7: arrow_411405190le_alt] :
( ( X6 != X7 )
=> ( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X9,arrow_610318064e_Prof)
=> ( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X8,arrow_610318064e_Prof)
=> ( ! [X12: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X7,X6),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X9,X12))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X6,X7),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X8,X12)) )
=> ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X7,X6),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X9))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X6,X7),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X8)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__C3_C) ).
tff(f256,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f255]) ).
tff(f255,plain,
( spl30_1
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
tff(f1569,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ spl30_1
| spl30_2 ),
inference(forward_demodulation,[],[f1568,f198]) ).
tff(f1568,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| ~ spl30_1
| spl30_2 ),
inference(subsumption_resolution,[],[f1567,f227]) ).
tff(f1567,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),arrow_610318064e_Prof)
| ~ spl30_1
| spl30_2 ),
inference(subsumption_resolution,[],[f1565,f261]) ).
tff(f1565,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),arrow_610318064e_Prof)
| ~ spl30_1
| spl30_2 ),
inference(resolution,[],[f1317,f616]) ).
tff(f616,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(X0,p,b,a)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,p,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof) )
| ~ spl30_1 ),
inference(subsumption_resolution,[],[f615,f232]) ).
tff(f615,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,p,b,a)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(X0,p,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_1 ),
inference(subsumption_resolution,[],[f601,f230]) ).
tff(f601,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,p,b,a)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(X0,p,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_1 ),
inference(resolution,[],[f256,f212]) ).
tff(f212,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f1317,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| ~ spl30_1
| spl30_2 ),
inference(resolution,[],[f1229,f205]) ).
tff(f205,plain,
! [X1: $tType,X0: $tType,X2: fun(product_prod(X1,X0),bool),X3: X1,X4: X0] :
( ~ member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X2))
| member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2) ),
inference(cnf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool),X3: X1,X4: X0] :
( member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2)
| ~ member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X2)) ),
inference(ennf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool),X3: X1,X4: X0] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X2))
=> member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X0: $tType,X1: $tType,X5: fun(product_prod(X1,X0),bool),X6: X1,X7: X0] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X7,X6),aa(fun(product_prod(X1,X0),bool),fun(product_prod(X0,X1),bool),converse(X1,X0),X5))
=> member(product_prod(X1,X0),product_Pair(X1,X0,X6,X7),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_converseD) ).
tff(f599,plain,
( spl30_1
| ~ spl30_2 ),
inference(avatar_contradiction_clause,[],[f598]) ).
tff(f598,plain,
( $false
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f597,f230]) ).
tff(f597,plain,
( ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f596,f581]) ).
tff(f581,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f580,f358]) ).
tff(f358,plain,
! [X0: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) ),
inference(forward_demodulation,[],[f226,f198]) ).
tff(f226,plain,
! [X0: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0: arrow_159774573e_indi] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0)) ) ),
inference(nnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X4: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X4))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062_Iconverse_Ao_AP_J_Ai_092_060_094esub_062_Aa_J_A_061_A_Ib_A_060_092_060_094bsub_062P_H_Ai_092_060_094esub_062_Ac_J_096) ).
tff(f580,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f579,f230]) ).
tff(f579,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f577,f257]) ).
tff(f257,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
| spl30_1 ),
inference(avatar_component_clause,[],[f255]) ).
tff(f577,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| ~ spl30_2 ),
inference(resolution,[],[f455,f228]) ).
tff(f228,plain,
! [X0: arrow_159774573e_indi] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0: arrow_159774573e_indi] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0)) ) ),
inference(nnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X0))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X0)) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X4: arrow_159774573e_indi] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,X4))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_iff) ).
tff(f455,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a))))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof) )
| ~ spl30_2 ),
inference(forward_demodulation,[],[f454,f198]) ).
tff(f454,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof) )
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f453,f232]) ).
tff(f453,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f447,f227]) ).
tff(f447,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_2 ),
inference(resolution,[],[f213,f260]) ).
tff(f260,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f213,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f596,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| spl30_1
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f594,f257]) ).
tff(f594,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a))))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),p,arrow_610318064e_Prof)
| spl30_1
| ~ spl30_2 ),
inference(resolution,[],[f583,f471]) ).
tff(f471,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a))))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof) )
| ~ spl30_2 ),
inference(forward_demodulation,[],[f470,f198]) ).
tff(f470,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof) )
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f469,f232]) ).
tff(f469,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_2 ),
inference(subsumption_resolution,[],[f463,f227]) ).
tff(f463,plain,
( ! [X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),X0,b,a)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ( a = b ) )
| ~ spl30_2 ),
inference(resolution,[],[f214,f260]) ).
tff(f214,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X0))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,X1))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,sK3(X0,X1,X2,X3)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X3,X2),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK3(X0,X1,X2,X3)))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X0,arrow_610318064e_Prof)
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f583,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),p,sK3(comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p),p,b,a)))
| spl30_1
| ~ spl30_2 ),
inference(resolution,[],[f581,f205]) ).
tff(f263,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f194,f259,f255]) ).
tff(f194,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)) ),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)) ) ),
inference(nnf_transformation,[],[f133]) ).
tff(f133,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
<~> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p))) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,negated_conjecture,
~ ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p))) ),
inference(negated_conjecture,[],[f101]) ).
tff(f101,conjecture,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p))
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f262,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f195,f259,f255]) ).
tff(f195,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,comp(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi,converse(arrow_411405190le_alt,arrow_411405190le_alt),p)))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,p)) ),
inference(cnf_transformation,[],[f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT230_5 : TPTP v8.2.0. Released v6.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 00:06:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF1_THM_EQU_NAR problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74 % (8494)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (8488)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (8491)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (8489)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (8490)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (8492)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (8493)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (8494)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.74 % (8494)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.75 % (8495)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.76 % (8491)Instruction limit reached!
% 0.56/0.76 % (8491)------------------------------
% 0.56/0.76 % (8491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (8491)Termination reason: Unknown
% 0.56/0.76 % (8491)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (8491)Memory used [KB]: 1487
% 0.56/0.76 % (8491)Time elapsed: 0.019 s
% 0.56/0.76 % (8491)Instructions burned: 33 (million)
% 0.56/0.76 % (8491)------------------------------
% 0.56/0.76 % (8491)------------------------------
% 0.56/0.76 % (8488)Instruction limit reached!
% 0.56/0.76 % (8488)------------------------------
% 0.56/0.76 % (8488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (8488)Termination reason: Unknown
% 0.56/0.76 % (8488)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (8488)Memory used [KB]: 1489
% 0.56/0.76 % (8488)Time elapsed: 0.021 s
% 0.56/0.76 % (8488)Instructions burned: 35 (million)
% 0.56/0.76 % (8488)------------------------------
% 0.56/0.76 % (8488)------------------------------
% 0.56/0.76 % (8493)Instruction limit reached!
% 0.56/0.76 % (8493)------------------------------
% 0.56/0.76 % (8493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (8493)Termination reason: Unknown
% 0.56/0.76 % (8493)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (8493)Memory used [KB]: 1355
% 0.56/0.76 % (8493)Time elapsed: 0.021 s
% 0.56/0.76 % (8493)Instructions burned: 45 (million)
% 0.56/0.76 % (8493)------------------------------
% 0.56/0.76 % (8493)------------------------------
% 0.56/0.76 % (8496)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.64/0.76 % (8494)Instruction limit reached!
% 0.64/0.76 % (8494)------------------------------
% 0.64/0.76 % (8494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76 % (8494)Termination reason: Unknown
% 0.64/0.76 % (8494)Termination phase: Saturation
% 0.64/0.76
% 0.64/0.76 % (8494)Memory used [KB]: 1600
% 0.64/0.76 % (8494)Time elapsed: 0.025 s
% 0.64/0.76 % (8494)Instructions burned: 83 (million)
% 0.64/0.76 % (8494)------------------------------
% 0.64/0.76 % (8494)------------------------------
% 0.64/0.76 % (8497)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.64/0.76 % (8498)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.64/0.77 % (8499)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.64/0.77 % (8492)Instruction limit reached!
% 0.64/0.77 % (8492)------------------------------
% 0.64/0.77 % (8492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (8492)Termination reason: Unknown
% 0.64/0.77 % (8492)Termination phase: Saturation
% 0.64/0.77
% 0.64/0.77 % (8492)Memory used [KB]: 1615
% 0.64/0.77 % (8492)Time elapsed: 0.019 s
% 0.64/0.77 % (8492)Instructions burned: 34 (million)
% 0.64/0.77 % (8492)------------------------------
% 0.64/0.77 % (8492)------------------------------
% 0.64/0.77 % (8489)Instruction limit reached!
% 0.64/0.77 % (8489)------------------------------
% 0.64/0.77 % (8489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (8489)Termination reason: Unknown
% 0.64/0.77 % (8489)Termination phase: Saturation
% 0.64/0.77
% 0.64/0.77 % (8489)Memory used [KB]: 1686
% 0.64/0.77 % (8489)Time elapsed: 0.030 s
% 0.64/0.77 % (8489)Instructions burned: 52 (million)
% 0.64/0.77 % (8489)------------------------------
% 0.64/0.77 % (8489)------------------------------
% 0.64/0.77 % (8501)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.64/0.78 % (8495)Instruction limit reached!
% 0.64/0.78 % (8495)------------------------------
% 0.64/0.78 % (8495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (8495)Termination reason: Unknown
% 0.64/0.78 % (8495)Termination phase: Saturation
% 0.64/0.78
% 0.64/0.78 % (8495)Memory used [KB]: 1596
% 0.64/0.78 % (8495)Time elapsed: 0.024 s
% 0.64/0.78 % (8495)Instructions burned: 57 (million)
% 0.64/0.78 % (8495)------------------------------
% 0.64/0.78 % (8495)------------------------------
% 0.64/0.78 % (8502)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.64/0.78 % (8502)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.78 % (8499)Instruction limit reached!
% 0.64/0.78 % (8499)------------------------------
% 0.64/0.78 % (8499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (8499)Termination reason: Unknown
% 0.64/0.78 % (8499)Termination phase: Saturation
% 0.64/0.78
% 0.64/0.78 % (8499)Memory used [KB]: 1745
% 0.64/0.78 % (8499)Time elapsed: 0.018 s
% 0.64/0.78 % (8499)Instructions burned: 54 (million)
% 0.64/0.78 % (8499)------------------------------
% 0.64/0.78 % (8499)------------------------------
% 0.64/0.78 % (8490)Instruction limit reached!
% 0.64/0.78 % (8490)------------------------------
% 0.64/0.78 % (8490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (8490)Termination reason: Unknown
% 0.64/0.78 % (8490)Termination phase: Saturation
% 0.64/0.78
% 0.64/0.78 % (8490)Memory used [KB]: 1724
% 0.64/0.78 % (8490)Time elapsed: 0.044 s
% 0.64/0.78 % (8490)Instructions burned: 79 (million)
% 0.64/0.78 % (8490)------------------------------
% 0.64/0.78 % (8490)------------------------------
% 0.64/0.79 % (8503)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.64/0.79 % (8500)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.64/0.79 % (8497)Instruction limit reached!
% 0.64/0.79 % (8497)------------------------------
% 0.64/0.79 % (8497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (8497)Termination reason: Unknown
% 0.64/0.79 % (8497)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (8497)Memory used [KB]: 1909
% 0.64/0.79 % (8497)Time elapsed: 0.024 s
% 0.64/0.79 % (8497)Instructions burned: 50 (million)
% 0.64/0.79 % (8497)------------------------------
% 0.64/0.79 % (8497)------------------------------
% 0.64/0.79 % (8503)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.79 % (8504)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.64/0.79 % (8504)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.79 % (8496)Instruction limit reached!
% 0.64/0.79 % (8496)------------------------------
% 0.64/0.79 % (8496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (8505)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.64/0.79 % (8496)Termination reason: Unknown
% 0.64/0.79 % (8496)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (8496)Memory used [KB]: 1865
% 0.64/0.79 % (8496)Time elapsed: 0.031 s
% 0.64/0.79 % (8496)Instructions burned: 56 (million)
% 0.64/0.79 % (8496)------------------------------
% 0.64/0.79 % (8496)------------------------------
% 0.64/0.79 % (8505)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.79 % (8501)Instruction limit reached!
% 0.64/0.79 % (8501)------------------------------
% 0.64/0.79 % (8501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (8501)Termination reason: Unknown
% 0.64/0.79 % (8501)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (8501)Memory used [KB]: 1622
% 0.64/0.79 % (8501)Time elapsed: 0.021 s
% 0.64/0.79 % (8501)Instructions burned: 42 (million)
% 0.64/0.79 % (8501)------------------------------
% 0.64/0.79 % (8501)------------------------------
% 0.64/0.80 % (8506)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.64/0.80 % (8506)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.80 % (8507)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.64/0.80 % (8507)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.81 % (8507)Instruction limit reached!
% 0.64/0.81 % (8507)------------------------------
% 0.64/0.81 % (8507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (8507)Termination reason: Unknown
% 0.64/0.81 % (8507)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (8507)Memory used [KB]: 1525
% 0.64/0.81 % (8507)Time elapsed: 0.018 s
% 0.64/0.81 % (8507)Instructions burned: 33 (million)
% 0.64/0.81 % (8507)------------------------------
% 0.64/0.81 % (8507)------------------------------
% 0.64/0.82 % (8508)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.64/0.82 % (8503)Instruction limit reached!
% 0.64/0.82 % (8503)------------------------------
% 0.64/0.82 % (8503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (8503)Termination reason: Unknown
% 0.64/0.82 % (8503)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (8503)Memory used [KB]: 2219
% 0.64/0.82 % (8503)Time elapsed: 0.057 s
% 0.64/0.82 % (8503)Instructions burned: 119 (million)
% 0.64/0.82 % (8503)------------------------------
% 0.64/0.82 % (8503)------------------------------
% 0.64/0.82 % (8509)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.64/0.82 % (8509)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.83 % (8506)Instruction limit reached!
% 0.64/0.83 % (8506)------------------------------
% 0.64/0.83 % (8506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83 % (8506)Termination reason: Unknown
% 0.64/0.83 % (8506)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (8506)Memory used [KB]: 1876
% 0.64/0.83 % (8506)Time elapsed: 0.054 s
% 0.64/0.83 % (8506)Instructions burned: 62 (million)
% 0.64/0.83 % (8506)------------------------------
% 0.64/0.83 % (8506)------------------------------
% 0.64/0.83 % (8510)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.64/0.83 % (8510)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.64/0.84 % (8505)Instruction limit reached!
% 0.64/0.84 % (8505)------------------------------
% 0.64/0.84 % (8505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (8505)Termination reason: Unknown
% 0.64/0.84 % (8505)Termination phase: Saturation
% 0.64/0.84
% 0.64/0.84 % (8505)Memory used [KB]: 1947
% 0.64/0.84 % (8505)Time elapsed: 0.071 s
% 0.64/0.84 % (8505)Instructions burned: 93 (million)
% 0.64/0.84 % (8505)------------------------------
% 0.64/0.84 % (8505)------------------------------
% 0.64/0.84 % (8509)Instruction limit reached!
% 0.64/0.84 % (8509)------------------------------
% 0.64/0.84 % (8509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (8509)Termination reason: Unknown
% 0.64/0.84 % (8509)Termination phase: Saturation
% 0.64/0.84
% 0.64/0.84 % (8509)Memory used [KB]: 1870
% 0.64/0.84 % (8509)Time elapsed: 0.016 s
% 0.64/0.84 % (8509)Instructions burned: 59 (million)
% 0.64/0.84 % (8509)------------------------------
% 0.64/0.84 % (8509)------------------------------
% 0.64/0.84 % (8512)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.64/0.84 % (8511)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 1.05/0.85 % (8511)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.05/0.85 % (8510)Instruction limit reached!
% 1.05/0.85 % (8510)------------------------------
% 1.05/0.85 % (8510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.85 % (8510)Termination reason: Unknown
% 1.05/0.85 % (8510)Termination phase: Saturation
% 1.05/0.85
% 1.05/0.85 % (8510)Memory used [KB]: 1410
% 1.05/0.85 % (8510)Time elapsed: 0.026 s
% 1.05/0.85 % (8510)Instructions burned: 53 (million)
% 1.05/0.85 % (8510)------------------------------
% 1.05/0.85 % (8510)------------------------------
% 1.05/0.86 % (8498)Instruction limit reached!
% 1.05/0.86 % (8498)------------------------------
% 1.05/0.86 % (8498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.86 % (8498)Termination reason: Unknown
% 1.05/0.86 % (8498)Termination phase: Saturation
% 1.05/0.86
% 1.05/0.86 % (8498)Memory used [KB]: 1651
% 1.05/0.86 % (8498)Time elapsed: 0.095 s
% 1.05/0.86 % (8498)Instructions burned: 210 (million)
% 1.05/0.86 % (8498)------------------------------
% 1.05/0.86 % (8498)------------------------------
% 1.05/0.86 % (8513)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 1.05/0.86 % (8504)Instruction limit reached!
% 1.05/0.86 % (8504)------------------------------
% 1.05/0.86 % (8504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.86 % (8504)Termination reason: Unknown
% 1.05/0.86 % (8504)Termination phase: Saturation
% 1.05/0.86
% 1.05/0.86 % (8504)Memory used [KB]: 2300
% 1.05/0.86 % (8504)Time elapsed: 0.096 s
% 1.05/0.86 % (8504)Instructions burned: 144 (million)
% 1.05/0.86 % (8504)------------------------------
% 1.05/0.86 % (8504)------------------------------
% 1.05/0.86 % (8511)Instruction limit reached!
% 1.05/0.86 % (8511)------------------------------
% 1.05/0.86 % (8511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.86 % (8511)Termination reason: Unknown
% 1.05/0.86 % (8511)Termination phase: Saturation
% 1.05/0.86
% 1.05/0.86 % (8511)Memory used [KB]: 1868
% 1.05/0.86 % (8511)Time elapsed: 0.021 s
% 1.05/0.86 % (8511)Instructions burned: 47 (million)
% 1.05/0.86 % (8511)------------------------------
% 1.05/0.86 % (8511)------------------------------
% 1.05/0.86 % (8514)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 1.05/0.86 % (8514)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.05/0.86 % (8515)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 1.05/0.86 % (8516)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 1.05/0.87 % (8513)Instruction limit reached!
% 1.05/0.87 % (8513)------------------------------
% 1.05/0.87 % (8513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.87 % (8513)Termination reason: Unknown
% 1.05/0.87 % (8513)Termination phase: Saturation
% 1.05/0.87
% 1.05/0.87 % (8513)Memory used [KB]: 1573
% 1.05/0.87 % (8513)Time elapsed: 0.013 s
% 1.05/0.87 % (8513)Instructions burned: 37 (million)
% 1.05/0.87 % (8513)------------------------------
% 1.05/0.87 % (8513)------------------------------
% 1.05/0.87 % (8512)Instruction limit reached!
% 1.05/0.87 % (8512)------------------------------
% 1.05/0.87 % (8512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.87 % (8512)Termination reason: Unknown
% 1.05/0.87 % (8512)Termination phase: Saturation
% 1.05/0.87
% 1.05/0.87 % (8512)Memory used [KB]: 1981
% 1.05/0.87 % (8512)Time elapsed: 0.033 s
% 1.05/0.87 % (8512)Instructions burned: 104 (million)
% 1.05/0.87 % (8512)------------------------------
% 1.05/0.87 % (8512)------------------------------
% 1.05/0.87 % (8517)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 1.05/0.87 % (8517)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.05/0.87 % (8518)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.32/0.88 % (8502)Instruction limit reached!
% 1.32/0.88 % (8502)------------------------------
% 1.32/0.88 % (8502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.88 % (8502)Termination reason: Unknown
% 1.32/0.88 % (8502)Termination phase: Saturation
% 1.32/0.88
% 1.32/0.88 % (8502)Memory used [KB]: 2143
% 1.32/0.88 % (8502)Time elapsed: 0.104 s
% 1.32/0.88 % (8502)Instructions burned: 244 (million)
% 1.32/0.88 % (8502)------------------------------
% 1.32/0.88 % (8502)------------------------------
% 1.32/0.88 % (8519)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.32/0.89 % (8518)Instruction limit reached!
% 1.32/0.89 % (8518)------------------------------
% 1.32/0.89 % (8518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.89 % (8518)Termination reason: Unknown
% 1.32/0.89 % (8518)Termination phase: Saturation
% 1.32/0.89
% 1.32/0.89 % (8518)Memory used [KB]: 1564
% 1.32/0.89 % (8518)Time elapsed: 0.012 s
% 1.32/0.89 % (8518)Instructions burned: 43 (million)
% 1.32/0.89 % (8518)------------------------------
% 1.32/0.89 % (8518)------------------------------
% 1.32/0.89 % (8514)Instruction limit reached!
% 1.32/0.89 % (8514)------------------------------
% 1.32/0.89 % (8514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.89 % (8514)Termination reason: Unknown
% 1.32/0.89 % (8514)Termination phase: Saturation
% 1.32/0.89
% 1.32/0.89 % (8514)Memory used [KB]: 2140
% 1.32/0.89 % (8514)Time elapsed: 0.029 s
% 1.32/0.89 % (8514)Instructions burned: 90 (million)
% 1.32/0.89 % (8514)------------------------------
% 1.32/0.89 % (8514)------------------------------
% 1.32/0.89 % (8520)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 1.32/0.89 % (8520)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.32/0.89 % (8521)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.32/0.89 % (8517)Instruction limit reached!
% 1.32/0.89 % (8517)------------------------------
% 1.32/0.89 % (8517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.89 % (8517)Termination reason: Unknown
% 1.32/0.89 % (8517)Termination phase: Saturation
% 1.32/0.89
% 1.32/0.89 % (8517)Memory used [KB]: 1777
% 1.32/0.89 % (8517)Time elapsed: 0.023 s
% 1.32/0.89 % (8517)Instructions burned: 70 (million)
% 1.32/0.89 % (8517)------------------------------
% 1.32/0.89 % (8517)------------------------------
% 1.32/0.90 % (8515)Instruction limit reached!
% 1.32/0.90 % (8515)------------------------------
% 1.32/0.90 % (8515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.90 % (8515)Termination reason: Unknown
% 1.32/0.90 % (8515)Termination phase: Saturation
% 1.32/0.90
% 1.32/0.90 % (8515)Memory used [KB]: 2299
% 1.32/0.90 % (8515)Time elapsed: 0.034 s
% 1.32/0.90 % (8515)Instructions burned: 111 (million)
% 1.32/0.90 % (8515)------------------------------
% 1.32/0.90 % (8515)------------------------------
% 1.32/0.90 % (8522)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.32/0.90 % (8523)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.32/0.90 % (8522)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.32/0.90 % (8523)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.32/0.90 % (8516)Instruction limit reached!
% 1.32/0.90 % (8516)------------------------------
% 1.32/0.90 % (8516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.90 % (8516)Termination reason: Unknown
% 1.32/0.90 % (8516)Termination phase: Saturation
% 1.32/0.90
% 1.32/0.90 % (8516)Memory used [KB]: 1818
% 1.32/0.90 % (8516)Time elapsed: 0.042 s
% 1.32/0.90 % (8516)Instructions burned: 161 (million)
% 1.32/0.90 % (8516)------------------------------
% 1.32/0.90 % (8516)------------------------------
% 1.32/0.91 % (8524)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.32/0.91 % (8523)Refutation not found, incomplete strategy% (8523)------------------------------
% 1.32/0.91 % (8523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.91 % (8523)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.91
% 1.32/0.91 % (8523)Memory used [KB]: 1364
% 1.32/0.91 % (8523)Time elapsed: 0.010 s
% 1.32/0.91 % (8523)Instructions burned: 33 (million)
% 1.32/0.91 % (8523)------------------------------
% 1.32/0.91 % (8523)------------------------------
% 1.32/0.91 % (8525)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.32/0.91 % (8521)Instruction limit reached!
% 1.32/0.91 % (8521)------------------------------
% 1.32/0.91 % (8521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.91 % (8521)Termination reason: Unknown
% 1.32/0.91 % (8521)Termination phase: Saturation
% 1.32/0.91
% 1.32/0.91 % (8521)Memory used [KB]: 1670
% 1.32/0.91 % (8521)Time elapsed: 0.025 s
% 1.32/0.91 % (8521)Instructions burned: 83 (million)
% 1.32/0.91 % (8521)------------------------------
% 1.32/0.91 % (8521)------------------------------
% 1.32/0.92 % (8526)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.32/0.92 % (8522)Instruction limit reached!
% 1.32/0.92 % (8522)------------------------------
% 1.32/0.92 % (8522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92 % (8522)Termination reason: Unknown
% 1.32/0.92 % (8522)Termination phase: Saturation
% 1.32/0.92
% 1.32/0.92 % (8522)Memory used [KB]: 1538
% 1.32/0.92 % (8522)Time elapsed: 0.022 s
% 1.32/0.92 % (8522)Instructions burned: 38 (million)
% 1.32/0.92 % (8522)------------------------------
% 1.32/0.92 % (8522)------------------------------
% 1.32/0.92 % (8525)Instruction limit reached!
% 1.32/0.92 % (8525)------------------------------
% 1.32/0.92 % (8525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92 % (8525)Termination reason: Unknown
% 1.32/0.92 % (8525)Termination phase: Saturation
% 1.32/0.92
% 1.32/0.92 % (8525)Memory used [KB]: 1544
% 1.32/0.92 % (8525)Time elapsed: 0.009 s
% 1.32/0.92 % (8525)Instructions burned: 32 (million)
% 1.32/0.92 % (8525)------------------------------
% 1.32/0.92 % (8525)------------------------------
% 1.32/0.92 % (8524)Instruction limit reached!
% 1.32/0.92 % (8524)------------------------------
% 1.32/0.92 % (8524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.92 % (8524)Termination reason: Unknown
% 1.32/0.92 % (8524)Termination phase: Saturation
% 1.32/0.92
% 1.32/0.92 % (8524)Memory used [KB]: 1674
% 1.32/0.92 % (8524)Time elapsed: 0.015 s
% 1.32/0.92 % (8524)Instructions burned: 49 (million)
% 1.32/0.92 % (8524)------------------------------
% 1.32/0.92 % (8524)------------------------------
% 1.32/0.92 % (8527)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.32/0.92 % (8508)First to succeed.
% 1.32/0.92 % (8529)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/119Mi)
% 1.32/0.93 % (8520)Instruction limit reached!
% 1.32/0.93 % (8520)------------------------------
% 1.32/0.93 % (8520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.93 % (8520)Termination reason: Unknown
% 1.32/0.93 % (8520)Termination phase: Saturation
% 1.32/0.93
% 1.32/0.93 % (8520)Memory used [KB]: 1768
% 1.32/0.93 % (8520)Time elapsed: 0.038 s
% 1.32/0.93 % (8520)Instructions burned: 161 (million)
% 1.32/0.93 % (8520)------------------------------
% 1.32/0.93 % (8520)------------------------------
% 1.32/0.93 % (8508)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8487"
% 1.32/0.93 % (8508)Refutation found. Thanks to Tanya!
% 1.32/0.93 % SZS status Theorem for theBenchmark
% 1.32/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.93 % (8508)------------------------------
% 1.32/0.93 % (8508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.93 % (8508)Termination reason: Refutation
% 1.32/0.93
% 1.32/0.93 % (8508)Memory used [KB]: 2279
% 1.32/0.93 % (8508)Time elapsed: 0.109 s
% 1.32/0.93 % (8508)Instructions burned: 326 (million)
% 1.32/0.93 % (8487)Success in time 0.56 s
% 1.32/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------